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Popular >

integral of (4x^3+7)

Solution

\int (4 x^{3} + 7) d x

Solution

x^{4} + 7 x + C

Solution steps

\int 4 x^{3} + 7 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 4 x^{3} d x + \int 7 d x

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

\int 7 d x = 7 x

= x^{4} + 7 x

Add a constant to the solution

= x^{4} + 7 x + C

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Frequently Asked Questions (FAQ)

What is the integral of (4x^3+7) ?
The integral of (4x^3+7) is x^4+7x+C