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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

Popular Examples

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

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

integral of sin(7x)sin(8x)

\int sin (7 x) sin (8 x) d x

integral of (x^3+2x-1)cos(4x)

\int (x^{3} + 2 x - 1) cos (4 x) d x

integral of 3(x+1)

\int 3 (x + 1) d x

integral of (t^3)/3+1

\int \frac{t ^{3}}{3} + 1 d t

Frequently Asked Questions (FAQ)

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