Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

∫xxdx\int \frac{x}{x}dx\newline∫(sin⁡x+sinh⁡x)dx\int(\sin x+\sinh x)dx

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Calculusright chevron icon
Find indefinite integrals using the substitution and by partsright chevron icon

Full solution

Q. ∫xxdx\int \frac{x}{x}dx\newline∫(sin⁡x+sinh⁡x)dx\int(\sin x+\sinh x)dx
  1. Simplify xx\frac{x}{x} Integral: Simplify the integral of xx\frac{x}{x} dx.\newlineCalculation: ∫(xx)dx=∫1dx=x+C\int(\frac{x}{x}) dx = \int1 dx = x + C.
  2. Simplify sin⁡x+sinh⁡x\sin x + \sinh x Integral: Simplify the integral of (sin⁡x+sinh⁡x) dx(\sin x + \sinh x) \, dx.\newlineCalculation: ∫(sin⁡x+sinh⁡x) dx=−cos⁡x+cosh⁡x+C\int(\sin x + \sinh x) \, dx = -\cos x + \cosh x + C.

More problems from Find indefinite integrals using the substitution and by parts

Question
Find d2dx2[5ln⁡(x5)] \frac{d^{2}}{d x^{2}}\left[5 \ln \left(x^{5}\right)\right]
Get tutor helpright-arrow

Posted 3 months ago

Question
Consider the curve given by the equation xy2−x3y=8 x y^{2}-x^{3} y=8 . It can be shown that dydx=3x2y−y22xy−x3 \frac{d y}{d x}=\frac{3 x^{2} y-y^{2}}{2 x y-x^{3}} .\newlineWrite the equation of the vertical line that is tangent to the curve.
Get tutor helpright-arrow

Posted 3 months ago

Question
Consider the curve given by the equation 2x2−12x+y3=107 2 x^{2}-12 x+y^{3}=107 . It can be shown that dydx=4(3−x)3y2 \frac{d y}{d x}=\frac{4(3-x)}{3 y^{2}} .\newlineFind the point on the curve where the line tangent to the curve is horizontal. \newline(□(\square , □)\square)
Get tutor helpright-arrow

Posted 3 months ago

Question
Can this differential equation be solved using separation of variables?\newlinedydx=3x2y−8y \frac{d y}{d x}=\frac{3}{x^{2} y-8 y} \newlineChoose 11 answer:\newline(A) Yes\newline(B) No
Get tutor helpright-arrow

Posted 3 months ago

Question
y=x4dydx= \begin{array}{c}y=x^{4} \\ \frac{d y}{d x}=\end{array}
Get tutor helpright-arrow

Posted 3 months ago

Question
Solve the equation. Check your solution\newline19=2−(z+5)19=2-(z+5)\newlineThe solution set is \(\{\longrightarrow\}. (Simplify your answer
Get tutor helpright-arrow

Posted 2 months ago

Question
∫t2sin⁡(1−t3)tan⁡(1−t3) dt\int \frac{t^{2}}{\sin(1-t^{3})\tan(1-t^{3})} \, dt
Get tutor helpright-arrow

Posted 2 months ago

Question
Write the answer in proper scientific notation:\newline(8×105×10−7)4(8 \times 10^{5} \times 10^{-7})^{4}
Get tutor helpright-arrow

Posted 2 months ago

Question
Solve for xx and graph the solution on the number line below.\newlinex−2<0\frac{x}{-2} < 0\newlineAnswer Attempt 11 out of 22\newline<<\newline≥\geq\newline≥\geq or\newlineInequality Notation:\newlineNumber Line:
Get tutor helpright-arrow

Posted 2 months ago

Question
−∫t4(1−t2)2 dt-\int \frac{t^{4}}{(1-t^{2})^{2}} \, dt
Get tutor helpright-arrow

Posted 2 months ago

View all (5)