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Popular >

integral of 2x^3-8x

Solution

\int 2 x^{3} - 8 x d x

Solution

\frac{x ^{4}}{2} - 4 x^{2} + C

Solution steps

\int 2 x^{3} - 8 x d x

Apply the Sum Rule:

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

= \int 2 x^{3} d x - \int 8 x d x

\int 2 x^{3} d x = \frac{x ^{4}}{2}

\int 8 x d x = 4 x^{2}

= \frac{x ^{4}}{2} - 4 x^{2}

Add a constant to the solution

= \frac{x ^{4}}{2} - 4 x^{2} + C

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Frequently Asked Questions (FAQ)

What is the integral of 2x^3-8x ?
The integral of 2x^3-8x is (x^4)/2-4x^2+C