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Popular >

integral from 1 to 3 of x^2+2x-3

Solution

\int_{1}^{3} x^{2} + 2 x - 3 d x

Solution

\frac{32}{3}

+1

Decimal Notation

10.66666 \dots

Solution steps

\int_{1}^{3} x^{2} + 2 x - 3 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_{1}^{3} x^{2} d x + \int_{1}^{3} 2 x d x - \int_{1}^{3} 3 d x

\int_{1}^{3} x^{2} d x = \frac{26}{3}

\int_{1}^{3} 2 x d x = 8

\int_{1}^{3} 3 d x = 6

= \frac{26}{3} + 8 - 6

Simplify

\frac{26}{3} + 8 - 6 : \frac{32}{3}

= \frac{32}{3}

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\int_{0}^{1} \frac{5 x}{( x ^{2} + 4 ) ^{2}} d x

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\int_{- 1}^{1} x^{3} e^{x^{4}} d x

integral from 3.3 to 8.3 of (12x^2-6x+4)

\int_{3.3}^{8.3} (12 x^{2} - 6 x + 4) d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of x^2+2x-3 ?
The integral from 1 to 3 of x^2+2x-3 is 32/3