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Popular >

integral of (8x^3+5)

Solution

\int (8 x^{3} + 5) d x

Solution

2 x^{4} + 5 x + C

Solution steps

\int 8 x^{3} + 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 8 x^{3} d x + \int 5 d x

\int 8 x^{3} d x = 2 x^{4}

\int 5 d x = 5 x

= 2 x^{4} + 5 x

Add a constant to the solution

= 2 x^{4} + 5 x + C

Graph

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Frequently Asked Questions (FAQ)

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