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Popular Calculus >

integral of x^3-2x+5

Solution

integral

x^{3} - 2 x + 5

Solution

\frac{x ^{4}}{4} - x^{2} + 5 x + C

Solution steps

\int x^{3} - 2 x + 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 x^{3} d x - \int 2 x d x + \int 5 d x

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

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

\int 5 d x = 5 x

= \frac{x ^{4}}{4} - x^{2} + 5 x

Add a constant to the solution

= \frac{x ^{4}}{4} - x^{2} + 5 x + C

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

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