Question

Question #745b7

Answer 1

`y=2/7x^7-1/6x^6-3/2x^4+x^3+c`

Explanation:

I am assuming you require to find the function y

`color(blue)"integrate " y'" to obtain y"`

distribute the brackets.

`rArr(x^5-3x^2)(2x-1)`

`=2x^6-x^5-6x^3+3x^2`

Integrate each term using the `color(blue)"power rule"`

`• int(ax^n)=a/(n+1)x^(n+1) ; n!=-1`

`rArry=int(2x^6-x^5-6x^3+3x^2)dx`

`color(white)(rArry)=2/7x^7-1/6x^6-3/2x^4+x^3+c`

where c is the constant of integration.