karisos
Evaluate the integral by using multiple substitutions
∫5(3x^27)sin^5(x^37x) cos(x^37x) dx



This Question is Closed

karisos
Best Response
You've already chosen the best response.
0
\[\int\limits 5(3x^27)\sin^5(x^37x)\cos(x^37x)dx\]

Algebraic!
Best Response
You've already chosen the best response.
1
u= x^3−7x
du = 3x^27 dx

Lilith
Best Response
You've already chosen the best response.
0
well \[u=x^37x;du=3x^27\]
this leaves \[\int5sin^5(u)cos(u)du\]

Algebraic!
Best Response
You've already chosen the best response.
1
v =sin (u)
dv = cos(u) du

Lilith
Best Response
You've already chosen the best response.
0
so the answer would be \[5sin^6(x^37x)\]

karisos
Best Response
You've already chosen the best response.
0
Makes sense... THANK YOU BOTH!! ^_^

karisos
Best Response
You've already chosen the best response.
0
T.T i thought i could give both of u medals T.T