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Popular >

integral from 0 to 4 of x^2+2x-3

Solution

\int_{0}^{4} x^{2} + 2 x - 3 d x

Solution

\frac{76}{3}

+1

Decimal Notation

25.33333 \dots

Solution steps

\int_{0}^{4} 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_{0}^{4} x^{2} d x + \int_{0}^{4} 2 x d x - \int_{0}^{4} 3 d x

\int_{0}^{4} x^{2} d x = \frac{64}{3}

\int_{0}^{4} 2 x d x = 16

\int_{0}^{4} 3 d x = 12

= \frac{64}{3} + 16 - 12

Simplify

\frac{64}{3} + 16 - 12 : \frac{76}{3}

= \frac{76}{3}

Popular Examples

integral from-8 to 4 of (-x^2-3x)

\int_{- 8}^{4} (- x^{2} - 3 x) d x

integral from 1 to 2 of 1/(5x)

\int_{1}^{2} \frac{1}{5 x} d x

integral from-infinity to-9 of 2e^{4x}

\int_{- \infty}^{- 9} 2 e^{4 x} d x

integral from-pi to pi of x^2e^{-inx}

\int_{- π}^{π} x^{2} e^{- in x} d x

integral from 3 to 4 of 6x-24

\int_{3}^{4} 6 x - 24 d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of x^2+2x-3 ?
The integral from 0 to 4 of x^2+2x-3 is 76/3