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Popular >

integral of (3x^2+8)

Solution

\int (3 x^{2} + 8) d x

Solution

x^{3} + 8 x + C

Solution steps

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

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

\int 8 d x = 8 x

= x^{3} + 8 x

Add a constant to the solution

= x^{3} + 8 x + C

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\int (1 + x^{2})^{- 2} d x

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Frequently Asked Questions (FAQ)

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