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Popular >

integral of (x^2+11)

Solution

\int (x^{2} + 11) d x

Solution

\frac{x ^{3}}{3} + 11 x + C

Solution steps

\int x^{2} + 11 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 11 d x

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

\int 11 d x = 11 x

= \frac{x ^{3}}{3} + 11 x

Add a constant to the solution

= \frac{x ^{3}}{3} + 11 x + C

Graph

Popular Examples

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\int \frac{1}{x} - \frac{5}{4 x ^{2} + 1} d x

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\int tan^{2} (x) d x

integral of-18xsin(9x^2-7)

\int - 18 x sin (9 x^{2} - 7) d x

integral of (x^2)/(sqrt(2x^3+1))

\int \frac{x ^{2}}{2 x ^{3} + 1} d x

integral of 1/(x+sqrt(1+x))

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

Frequently Asked Questions (FAQ)

What is the integral of (x^2+11) ?
The integral of (x^2+11) is (x^3)/3+11x+C