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Popular >

integral of (x^2+5)

Solution

\int (x^{2} + 5) d x

Solution

\frac{x ^{3}}{3} + 5 x + C

Solution steps

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

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

\int 5 d x = 5 x

= \frac{x ^{3}}{3} + 5 x

Add a constant to the solution

= \frac{x ^{3}}{3} + 5 x + C

Popular Examples

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\frac{cos ( ln ( x ) )}{x}

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\int \frac{x + 1}{x} d x

y^{^{'}} = 4 y^{2} + 1

integral of cos(k)x

\int cos (k) x d x

derivative of 5ln(\sqrt[5]{e^{x^3}})

Frequently Asked Questions (FAQ)

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