int_0^(pi ) sin^(10)(x)cos^(9)(x)dx= [Hint: Use the substitution u=x-((pi )/(2)).] sin10(x)cos(x) dx= 10 [Hint: Use the substitution u=x -(/2).]
Added by Jennifer D.
Close
Step 1
When u = x - π/2, we have x = u + π/2 and dx = du. Therefore, the integral becomes: ∫sin^10(u + π/2)cos^9(u)du Show more…
Show all steps
Your feedback will help us improve your experience
Rukhmani Jain and 95 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Give the proper trigonometric substitution and find the transformed integral, but do not integrate. $$\int \frac{d x}{\left(1-x^{2}\right)^{3 / 2}}$$
Methods of Integration
Integration by Trigonometric Substitution
Hello, I would like you to help me with this integral using the trigonometric substitution, thank you.
Sanchit J.
Find the following integrals. $$ \int \frac{\sec ^{2} x}{\operatorname{cosec}^{2} x} d x $$
Integrals
Introduction
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD