# Please solve int(3x^5-2/x^3)dx?

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#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#