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Question Number 141333 by cesarL last updated on 17/May/21

$$\int x^2\cos \left(\frac{x}{2}\right)dx$$

Answered by qaz last updated on 17/May/21

$$\int x^2\cos \frac{x}{2}dx$$$$=2x^2\sin \frac{x}{2}-4\int x\sin \frac{x}{2}dx$$$$=2x^2\sin \frac{x}{2}-4(-2x\cos \frac{x}{2}+2\int \cos \frac{x}{2}dx)$$$$=2x^2\sin \frac{x}{2}+8x\cos \frac{x}{2}-16\sin \frac{x}{2}+C$$

Commented by cesarL last updated on 17/May/21

$$Thankyoubro$$

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