What is the integral of x*sin(sqrt.(x^2 + 4))/sqrt.(x^2 + 4) ?
1 Answer
Jun 19, 2018
Explanation:
We want to integrate
I=∫x⋅sin(√x2+4)√x2+4dx
Make a substitution
I=∫x⋅sin(√u)√u⋅12xdu
I=12∫sin(√u)√udu
Make a substitution
I=12∫sin(s)s⋅2sds
I=∫sin(s)ds
I=−cos(s)+C
Substitute back
I=−cos(√x2+4)+C