Question #745b7

1 Answer
Mar 26, 2017

#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.