Question

Find the following integrals:
1. x sin(1+x²) dx​

Answer 1

Answer:

-cos(1+ x^{2} ) /2  + c

Explanation:

let t= 1+x^{2}

dt/dx = 2x

dt/2 =  x.dx

∫ x.sin(t).dx

∫sint.dt/2

1/2∫sin(t).dt

by integration

-cos(t)/2 + c    ,put value of t

hence ,  -cos(1+x^{2}) +c   ans