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Popular >

integral of (x^5+8)

Solution

\int (x^{5} + 8) d x

Solution

\frac{x ^{6}}{6} + 8 x + C

Solution steps

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

\int x^{5} d x = \frac{x ^{6}}{6}

\int 8 d x = 8 x

= \frac{x ^{6}}{6} + 8 x

Add a constant to the solution

= \frac{x ^{6}}{6} + 8 x + C

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\int 6 (1 - x) d x

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\int (2 x + x^{2}) d x

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\int sec^{2} (x) + e^{2 x} d x

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integral of cos(x)cos(2x)sin(4x)

\int cos (x) cos (2 x) sin (4 x) d x

Frequently Asked Questions (FAQ)

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