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Popular >

integral of (x^3+8)

Solution

\int (x^{3} + 8) d x

Solution

\frac{x ^{4}}{4} + 8 x + C

Solution steps

\int x^{3} + 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^{3} d x + \int 8 d x

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

\int 8 d x = 8 x

= \frac{x ^{4}}{4} + 8 x

Add a constant to the solution

= \frac{x ^{4}}{4} + 8 x + C

Graph

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\int 10 - 5 x d x

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\int \frac{1}{e ^{- x} 4 - e ^{- 2 x}} d x

Frequently Asked Questions (FAQ)

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