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Popular >

integral from 2 to 3 of x^2+x-2

Solution

\int_{2}^{3} x^{2} + x - 2 d x

Solution

\frac{41}{6}

+1

Solution steps

\int_{2}^{3} 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_{2}^{3} x^{2} d x + \int_{2}^{3} x d x - \int_{2}^{3} 2 d x

\int_{2}^{3} x^{2} d x = \frac{19}{3}

\int_{2}^{3} x d x = \frac{5}{2}

\int_{2}^{3} 2 d x = 2

= \frac{19}{3} + \frac{5}{2} - 2

Simplify

\frac{19}{3} + \frac{5}{2} - 2 : \frac{41}{6}

= \frac{41}{6}

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\int_{- 2}^{2} 4^{\frac{x}{2}} d x

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\int_{x}^{5} 1 + t^{2} d t

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\int_{x}^{x^{4}} t^{4} d t

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\int_{0}^{1} x^{19} + 1 9^{x} d x

Frequently Asked Questions (FAQ)

What is the integral from 2 to 3 of x^2+x-2 ?
The integral from 2 to 3 of x^2+x-2 is 41/6