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Popular Calculus >

integral of (4x^3-5)

Solution

\int (4 x^{3} - 5) d x

Solution

x^{4} - 5 x + C

Solution steps

\int 4 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 4 x^{3} d x - \int 5 d x

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

\int 5 d x = 5 x

= x^{4} - 5 x

Add a constant to the solution

= x^{4} - 5 x + C

Graph

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Frequently Asked Questions (FAQ)

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