Hard integration problem

[jaychay]

Can you please help me ?
I have tried to do it many times but still got the wrong answer.
Thank you in advance.

 

[Opalg]

Make the substitution $t = \sin x$.

 

[jaychay]

Make the substitution $t = \sin x$.

I am stuck here
Can you please help me ?

 

[Opalg]

Get the parentheses in the right place! It's not $\sin(u+u^6)$, but $\sin(u) + u^6$, which is much easier to integrate.

 

[jaychay]

Get the parentheses in the right place! It's not $\sin(u+u^6)$, but $\sin(u) + u^6$, which is much easier to integrate.

Thank you very much
I understand now