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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

integral of 1/(sqrt(8-6x-9x^2))

\int \frac{1}{8 - 6 x - 9 x ^{2}} d x

derivative of (x^2+sec(x))/(x-2e^x)derivative of

\frac{x ^{2} + sec ( x )}{x - 2 e ^{x}}

derivative of (x^4/8+1/(4y^2))

\frac{d}{d x} (\frac{x ^{4}}{8} + \frac{1}{4 y ^{2}})

integral of (tan^3(x)+tan(x))

\int (tan^{3} (x) + tan (x)) d x

integral of (x^3)/(sqrt(x^2+7))

\int \frac{x ^{3}}{x ^{2} + 7} d x

Frequently Asked Questions (FAQ)

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