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Popular >

integral of x^2+2

Solution

\int x^{2} + 2 d x

Solution

\frac{x ^{3}}{3} + 2 x + C

Solution steps

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

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

\int 2 d x = 2 x

= \frac{x ^{3}}{3} + 2 x

Add a constant to the solution

= \frac{x ^{3}}{3} + 2 x + C

Popular Examples

derivative of (Ax+Be^{-2x})

\frac{d}{d x} ((A x + B) e^{- 2 x})

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\int \frac{- 5 x - 3}{x ^{2} + 3 x + 4} d x

(\partial)/(\partial x)(xe^w)

\frac{\partial}{\partial x} (x e^{w})

limit as x approaches 90 of tan(x)

x \to 90 lim (tan (x))

integral of (e^x)/(x^4)

\int \frac{e ^{x}}{x ^{4}} d x

Frequently Asked Questions (FAQ)

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