Question

Integrate (x + sinx)^2 dx

Answer 1

u need expand it before integrate

Answer 2

(x + sinx)^2 = x^2 + 2xsinx + sin^2 x

Answer 3

i got upto that part but what am I supposed to do next ?

Answer 4

just integrate each term

Answer 5

int x^2 dx = 1/3 x^3 , right :)

Answer 6

first term (x^2) is easy...
second term is integration by parts...
third term use: sin^2x = 1/2(1-cos2x)

Answer 7

int 2xsinx dx ---> use int by part OR use the table integral

Answer 8

how would u do it by parts? i'm confused with that ... I get it the easy way but not with this method

Answer 9

int (2x sinx) dx =