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:

int(sin 2x)/(sin x)dx

∫sin⁡2xsin⁡xdx \int \frac{\sin 2 x}{\sin x} d x =

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. ∫sin⁡2xsin⁡xdx \int \frac{\sin 2 x}{\sin x} d x =
  1. Simplify using trigonometric identities: Simplify the integral using trigonometric identities.\newline∫sin⁡2xsin⁡x dx=∫2sin⁡xcos⁡xsin⁡x dx=∫2cos⁡x dx \int \frac{\sin 2x}{\sin x} \, dx = \int \frac{2 \sin x \cos x}{\sin x} \, dx = \int 2 \cos x \, dx
  2. Integrate 22 cos x: Integrate 2cos⁡x2 \cos x.\newline∫2cos⁡x dx=2sin⁡x+C \int 2 \cos x \, dx = 2 \sin x + C

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

Question
Evaluate the integral.\newline∫−x4−3xdx \int-x 4^{-3 x} d x \newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
Evaluate the integral.\newline∫6x3e−2xdx \int 6 x^{3} e^{-2 x} d x \newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
Evaluate the integral.\newline∫x53xdx \int x 5^{3 x} d x \newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
Evaluate the integral.\newline∫−2xe2xdx \int-2 x e^{2 x} d x \newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
Evaluate the integral.\newline∫−2xcos⁡(−2x)dx \int-2 x \cos (-2 x) d x \newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
Evaluate the integral.\newline∫−xcos⁡(−3x)dx \int-x \cos (-3 x) d x \newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
Evaluate the integral.\newline∫6x253xdx \int 6 x^{2} 5^{3 x} d x \newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
Evaluate the integral.\newline∫−6x4−4xdx \int-6 x 4^{-4 x} d x \newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
Evaluate the integral.\newline∫6x223xdx \int 6 x^{2} 2^{3 x} d x \newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
Evaluate the integral.\newline∫−3xsin⁡(−2x)dx \int-3 x \sin (-2 x) d x \newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

View all (140)