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Popular >

integral of x^2+8x^5

Solution

\int x^{2} + 8 x^{5} d x

Solution

\frac{x ^{3}}{3} + \frac{4 x ^{6}}{3} + C

Solution steps

\int x^{2} + 8 x^{5} 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 x^{2} d x + \int 8 x^{5} d x

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

\int 8 x^{5} d x = \frac{4 x ^{6}}{3}

= \frac{x ^{3}}{3} + \frac{4 x ^{6}}{3}

Add a constant to the solution

= \frac{x ^{3}}{3} + \frac{4 x ^{6}}{3} + C

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Frequently Asked Questions (FAQ)

What is the integral of x^2+8x^5 ?
The integral of x^2+8x^5 is (x^3)/3+(4x^6)/3+C