Question #e63af

Question

2062 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-01-04T11:19:29

The answer $==-73/504=-0.14484$

We need

$intx^ndx=x^(n+1)/(n+1)+C(x!=-1)$

Therefore,

$int_0^1x^6(4x^2+x-5)dx$

$=int_0^1(4x^8+x^7-5x^6)dx$

$=[4x^9/9+x^8/8-5x^7/7] _0^1$

$=(4/9+1/8-5/7)-(0)$

$=(224+63-360)/504$

$=-73/504=-0.14484$