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Math Problems
Calculus
Find indefinite integrals using the substitution and by parts
The function
g
(
x
)
g(x)
g
(
x
)
is odd and continuous for all
x
\mathrm{x}
x
. If
∫
0
a
g
(
x
)
d
x
=
3.5
\int_{0}^{a} g(x) d x=3.5
∫
0
a
g
(
x
)
d
x
=
3.5
, what is
∫
−
a
a
g
(
x
)
d
x
?
\int_{-a}^{a} g(x) d x ?
∫
−
a
a
g
(
x
)
d
x
?
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∫
d
x
25
+
4
x
2
\int \frac{d x}{\sqrt{25+4 x^{2}}}
∫
25
+
4
x
2
d
x
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Home - Newton Municipal
\newline
(
1
1
1
) Love Thy Neigh bor
\newline
Untitled document - Googls
\newline
MAAP Practice Test
\newline
CHRINESIA THOMPSON
\newline
ByteLeam
\newline
35
35
35
. What is the simplified form of the polynomial expression shown?
\newline
−
3
x
2
(
x
−
y
2
)
−
(
y
3
−
5
)
−
3
y
2
(
x
2
−
4
y
)
+
4
x
3
-3x^{2}(x-y^{2})-(y^{3}-5)-3y^{2}(x^{2}-4y)+4x^{3}
−
3
x
2
(
x
−
y
2
)
−
(
y
3
−
5
)
−
3
y
2
(
x
2
−
4
y
)
+
4
x
3
\newline
Page
\newline
25
25
25
\newline
148
148
148
\newline
Fill in the blanks with the values.
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∫
4
x
cos
(
2
−
3
x
)
d
x
\int 4 x \cos (2-3 x) d x
∫
4
x
cos
(
2
−
3
x
)
d
x
Get tutor help
Approximating Irrational Numbers - Tutorial - Part
1
1
1
- Level H
\newline
et's try to find a rational approximation for
2
\sqrt{2}
2
.
\newline
hich interval on this number line contains
2
\sqrt{2}
2
? Click on the line cement betwcen the whole numbers to submit your answer.
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(b) Use integration by parts to evaluate
∫
0
π
2
x
⋅
cos
x
d
x
\int_0^{\frac{\pi}{2}} x \cdot \cos x \, dx
∫
0
2
π
x
⋅
cos
x
d
x
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∫
[
tan
x
]
d
x
\int[\sqrt{\tan x}] d x
∫
[
tan
x
]
d
x
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18
18
18
.
∫
sin
2
x
sin
x
d
x
\int \frac{\sin 2 x}{\sin x} d x
∫
s
i
n
x
s
i
n
2
x
d
x
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11
11
11
.
∫
x
3
−
2
x
x
d
x
\int \frac{x^{3}-2 \sqrt{x}}{x} d x
∫
x
x
3
−
2
x
d
x
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∫
x
x
d
x
\int \frac{x}{x}dx
∫
x
x
d
x
\newline
∫
(
sin
x
+
sinh
x
)
d
x
\int(\sin x+\sinh x)dx
∫
(
sin
x
+
sinh
x
)
d
x
Get tutor help
6
6
6
.
∫
sec
t
(
sec
t
+
tan
t
)
d
t
\int \sec t(\sec t+\tan t) d t
∫
sec
t
(
sec
t
+
tan
t
)
d
t
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∫
(
3
x
+
4
)
cos
x
d
x
\int(3 x+4) \cos x d x
∫
(
3
x
+
4
)
cos
x
d
x
Get tutor help
Evaluate the line integral, where
C
C
C
is the given curve.
\newline
∫
C
x
sin
(
y
)
d
s
,
C
\int_{C} x \sin (y) d s, C
∫
C
x
sin
(
y
)
d
s
,
C
is the line segment from
(
0
,
1
)
(0,1)
(
0
,
1
)
to
(
4
,
4
)
(4,4)
(
4
,
4
)
Get tutor help
∫
x
x
2
+
1
d
x
\int \frac{x}{\sqrt{x^{2}+1}} d x
∫
x
2
+
1
x
d
x
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∫
x
2
−
4
2
x
d
x
\int \frac{x^{2}-4}{2 \sqrt{x}} d x
∫
2
x
x
2
−
4
d
x
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⇒
\Rightarrow
⇒
\newline
int ism
\newline
thent
\newline
Strte
\newline
ite:
\newline
Astor:
\newline
SixuE
\newline
F
\newline
Elsonter
\newline
c.
\newline
Conolitieth gemes
\newline
Test Taks
\newline
My IXL
\newline
Learning
\newline
Assessment
\newline
Analy
\newline
th grade > W.
6
6
6
Surface area of cones
5
5
5
E
6
6
6
\newline
Learn with an example
\newline
or
\newline
Watch a video
\newline
What is the surface area of this cone?
\newline
Use
π
≈
3.14
\pi \approx 3.14
π
≈
3.14
and round your answer to the nearest hundredth.
\newline
□
\square
□
square inches
\newline
Submit
\newline
Work it out
\newline
Not feeling ready yet? These can help:
\newline
Area of circles
\newline
Lesson: Surface area
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Use the graph of the function to complete the table.
\newline
\begin{tabular}{|c|c|}
\newline
\hline input & output \\
\newline
\hline
−
9
-9
−
9
&
□
\square
□
\\
\newline
\hline
−
5
-5
−
5
&
□
\square
□
\\
\newline
\hline
−
3
-3
−
3
&
−
9
-9
−
9
\\
\newline
\hline
\newline
\end{tabular}
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∫
(
8
x
+
8
x
)
d
x
\int\left(\frac{8}{\sqrt{x}}+8 \sqrt{x}\right) d x
∫
(
x
8
+
8
x
)
d
x
Get tutor help
∫
(
x
−
3
e
3
x
)
d
x
\int\left(x-3 e^{3 x}\right) d x
∫
(
x
−
3
e
3
x
)
d
x
Get tutor help
∫
1
x
x
+
1
d
x
\int \frac{1}{x \sqrt{x+1}} d x
∫
x
x
+
1
1
d
x
Get tutor help
Math
233
233
233
\newline
Name:
\newline
Open with Kami
\newline
Quiz
\newline
Question
1
1
1
. Evaluate the triple integral
\newline
∫
−
a
a
∫
−
a
2
−
x
2
a
2
−
x
2
∫
z
=
0
z
=
h
d
z
d
y
d
x
\int_{-a}^{a} \int_{-\sqrt{a^{2}-x^{2}}}^{\sqrt{a^{2}-x^{2}}} \int_{z=0}^{z=h} d z d y d x
∫
−
a
a
∫
−
a
2
−
x
2
a
2
−
x
2
∫
z
=
0
z
=
h
d
z
d
y
d
x
\newline
whère
a
a
a
and
h
h
h
are arbitrary constants.
Get tutor help
Find the area of
\newline
the curved trapezoid bounded by the lines
y
=
3
x
+
6
y=3x+6
y
=
3
x
+
6
,
y
=
0
y=0
y
=
0
,
\newline
x
=
−
1
x=-1
x
=
−
1
,
x
=
2
x=2
x
=
2
. Use integration
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∫
8
x
1
2
x
+
1
d
x
\int 8 x \frac{1}{2 x+1} d x
∫
8
x
2
x
+
1
1
d
x
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Domain and Range
\newline
The function
f
(
x
)
f(x)
f
(
x
)
is defined in the graph below. Using the graph, identify the Domain and Range of
f
(
x
)
f(x)
f
(
x
)
.
\newline
Write your answer as an ordered list enclosed in curly brackets.
\newline
Domain:
\newline
Range:
Get tutor help
Evaluate the integral.
\newline
∫
p
(
p
+
4
)
5
d
p
\int p(p+4)^{5} d p
∫
p
(
p
+
4
)
5
d
p
Get tutor help
∫
x
+
1
x
−
1
d
x
\int \frac{x+1}{\sqrt{x}-1} d x
∫
x
−
1
x
+
1
d
x
Get tutor help
Wed
17
A
p
r
17 \mathrm{Apr}
17
Apr
\newline
Applications of integration: Unit test
\newline
What is the average value of
h
(
x
)
=
x
3
+
7
x
2
+
3
2
x
2
−
5
x
+
4
h(x)=\frac{x^{3}+7 x^{2}+3}{2 x^{2}-5 x+4}
h
(
x
)
=
2
x
2
−
5
x
+
4
x
3
+
7
x
2
+
3
on the interval
[
−
8
,
−
2
]
[-8,-2]
[
−
8
,
−
2
]
?
\newline
Use a graphing calculator and round your answer to three decimal places.
\newline
□
\square
□
Get tutor help
∫
1
26
x
x
d
x
\int \frac{1}{26 x \sqrt{x}} d x
∫
26
x
x
1
d
x
Get tutor help
∫
x
(
x
−
1
)
5
d
x
\int x(x-1)^{5} d x
∫
x
(
x
−
1
)
5
d
x
Get tutor help
Find the following indefinite integral:
∫
(
3
x
2
+
1
)
e
x
3
+
x
d
x
\int (3x^2 + 1)e^{x^3 + x} \, dx
∫
(
3
x
2
+
1
)
e
x
3
+
x
d
x
Get tutor help
⇒
∫
x
+
1
x
d
x
\Rightarrow \int \frac{x+1}{\sqrt{x}} d x
⇒
∫
x
x
+
1
d
x
.
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∫
(
4
−
2
r
+
1
)
1
−
2
r
d
r
\int \frac{(4-\sqrt{2 r+1})}{1-2 r} d r
∫
1
−
2
r
(
4
−
2
r
+
1
)
d
r
Get tutor help
I
=
∫
(
ln
x
)
2
d
x
I=\int(\ln x)^{2} d x
I
=
∫
(
ln
x
)
2
d
x
Get tutor help
I
=
∫
x
x
2
−
7
d
x
I=\int \frac{x}{\sqrt{x^{2}-7}} d x
I
=
∫
x
2
−
7
x
d
x
Get tutor help
∫
5
x
cos
(
5
x
)
d
x
\int 5 x \cos (5 x) d x
∫
5
x
cos
(
5
x
)
d
x
Get tutor help
∫
cot
(
−
x
)
d
x
\int \cot(-x)\,dx
∫
cot
(
−
x
)
d
x
Get tutor help
∫
x
cos
x
d
x
\int x \cos x d x
∫
x
cos
x
d
x
Get tutor help
Evaluate the integral:
∫
2
x
x
2
−
36
d
x
\int \frac{2}{x \sqrt{x^{2}-36}} d x
∫
x
x
2
−
36
2
d
x
Get tutor help
Given the function
f
(
x
)
=
∣
x
−
3
∣
f(x)=|x-3|
f
(
x
)
=
∣
x
−
3∣
, what is the value of
∫
2
5
f
(
x
)
d
x
\int_{2}^{5} f(x) d x
∫
2
5
f
(
x
)
d
x
?\
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∫
cos
x
x
d
x
\int \frac{\cos \sqrt{x}}{\sqrt{x}} d x
∫
x
c
o
s
x
d
x
=
Get tutor help
∫
3
∞
1
x
x
2
−
9
d
x
\int_{3}^{\infty}\frac{1}{x\sqrt{x^{2}-9}}dx
∫
3
∞
x
x
2
−
9
1
d
x
Get tutor help
∫
2
4
2
x
x
2
−
4
d
x
\int_{2}^{4}\frac{2}{x\sqrt{x^{2}-4}}dx
∫
2
4
x
x
2
−
4
2
d
x
Get tutor help
Use the graph of the integrand to evaluate the integral.
\newline
∫
−
1
1
(
1
+
1
−
x
2
)
d
x
\int_{-1}^{1}(1+\sqrt{1-x^{2}})\,dx
∫
−
1
1
(
1
+
1
−
x
2
)
d
x
Get tutor help
Solve:
∫
ln
(
x
)
+
5
x
d
x
\int \frac{\ln(x) + 5}{x} \, dx
∫
x
l
n
(
x
)
+
5
d
x
Get tutor help
Find integral:
∫
x
(
x
)
d
x
\int x^{(x)}\,dx
∫
x
(
x
)
d
x
Get tutor help
Solve for
x
x
x
and graph the solution on the number line below.
\newline
x
−
2
<
0
\frac{x}{-2} < 0
−
2
x
<
0
\newline
Answer Attempt
1
1
1
out of
2
2
2
\newline
<
<
<
\newline
≥
\geq
≥
\newline
≥
\geq
≥
or
\newline
Inequality Notation:
\newline
Number Line:
Get tutor help
∫
d
x
3
x
−
1
−
4
x
−
1
3
\int \frac{d x}{3 \sqrt{x-1}-4 \sqrt[3]{x-1}}
∫
3
x
−
1
−
4
3
x
−
1
d
x
Get tutor help
∫
cos
x
d
x
sin
2
x
+
4
sin
x
−
1
\int \frac{\cos x d x}{\sqrt{\sin ^{2} x+4 \sin x-1}}
∫
s
i
n
2
x
+
4
s
i
n
x
−
1
c
o
s
x
d
x
Get tutor help
Integration techniques: Evaluate
∫
(
x
2
+
3
x
−
2
)
d
x
\int (x^2 + 3x - 2) \, dx
∫
(
x
2
+
3
x
−
2
)
d
x
using appropriate integration methods.
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∫
x
d
x
+
∫
2
d
x
\int x d x+\int 2 d x
∫
x
d
x
+
∫
2
d
x
Get tutor help
1
2
3
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