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Popular >

integral of x^2+x-2

Solution

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

Solution

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

Solution steps

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

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

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

\int 2 d x = 2 x

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

Add a constant to the solution

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

Graph

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n = 0 \sum \infty n! \cdot x^{n}

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(d^2)/(dx^2)((1-2x)/(1+2x))

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

integral from 2 to 6 of sqrt(1+1/4 x^1)

\int_{2}^{6} 1 + \frac{1}{4} x^{1} d x

Frequently Asked Questions (FAQ)

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