Find int 2x^3 cos(x^2)dx

Joni Kenny

Joni Kenny

Answered question

2021-08-18

Find 2x3cos(x2)dx

Answer & Explanation

Brittany Patton

Brittany Patton

Skilled2021-08-19Added 100 answers

We have to find the following integral
2x3cos(x2)dx
Substitute u=x2 we have
du=2xdx
Thus we have
int 2x3cos(x2)dx=ucos(u)du
=usin(u)sin(u)du [Using integration by parts]
=x2sin(x2)(cos(x2))+C
2x3cos(x2)dx=x2sin(x2)(cos(x2))+C

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