Desalegndagm388idn
Answered

Whether you're a student or a professional, IDNLearn.com has answers for everyone. Our experts provide accurate and detailed responses to help you navigate any topic or issue with confidence.

find integral∫cos³x dx) )?​

Sagot :

Masooqilliazidn

Answer:

sin(x)−1/3(sin3(x))+C

Step-by-step explanation:

use u substitution method to integrate

LammettHashidn

cos³(x) = cos(x) cos²(x)

… = cos(x) (1 - sin²(x))

Substitute u = sin(x) and du = cos(x) dx. Then in the integral, you get

∫ cos³(x) dx = ∫ (1 - u ²) du

… = u - 1/3 u ³ + C

… = sin(x) - 1/3 sin³(x) + C

Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. Your questions deserve accurate answers. Thank you for visiting IDNLearn.com, and see you again for more solutions.