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Popular >

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

Solution

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

Solution

\frac{74}{3}

+1

Solution steps

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

\int_{2}^{4} x^{2} d x = \frac{56}{3}

\int_{2}^{4} 2 x d x = 12

\int_{2}^{4} 3 d x = 6

= \frac{56}{3} + 12 - 6

Simplify

\frac{56}{3} + 12 - 6 : \frac{74}{3}

= \frac{74}{3}

Popular Examples

integral from 1 to 3 of 1/(x^2+x)

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

integral from 27 to 64 of \sqrt[3]{x}

integral from 0 to 1 of 6x^2-6x^3

\int_{0}^{1} 6 x^{2} - 6 x^{3} d x

integral from 0 to 4 of x^2e^{-x}

\int_{0}^{4} x^{2} e^{- x} d x

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

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

Frequently Asked Questions (FAQ)

What is the integral from 2 to 4 of x^2+2x-3 ?
The integral from 2 to 4 of x^2+2x-3 is 74/3