Please solve int(3x^5-2/x^3)dx?
int(3x^5-2/x^3)dx
1 Answer
Apr 12, 2018
I=1/2x^(6)+x^(-2)+C
Explanation:
We want to integrate
I=int3x^5-2/x^3dx=3intx^5dx-2intx^-3dx
Remember the power rule for integration
color(blue)(intx^ndx=(x^(n+1))/(n+1)+C
Thus, by the power rule
I=(3x^(5+1))/(5+1)-(2x^(-3+1))/(-3+1)+C
color(white)(I)=(3x^(6))/(6)-(2x^(-2))/(-2)+C
color(white)(I)=1/2x^(6)+x^(-2)+C