What is the integral of 3y^5-20y^3 ?

The integral of 3y^5-20y^3 is (y^6)/2-5y^4+C

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integral of 3y^5-20y^3

\int 3 y^{5} - 20 y^{3} d y

\frac{y ^{6}}{2} - 5 y^{4} + C

Solution steps

\int 3 y^{5} - 20 y^{3} d y

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 3 y^{5} d y - \int 20 y^{3} d y

\int 3 y^{5} d y = \frac{y ^{6}}{2}

\int 20 y^{3} d y = 5 y^{4}

= \frac{y ^{6}}{2} - 5 y^{4}

Add a constant to the solution

= \frac{y ^{6}}{2} - 5 y^{4} + C

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What is the integral of 3y^5-20y^3 ?
The integral of 3y^5-20y^3 is (y^6)/2-5y^4+C