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Popular >

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

Solution

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

Solution

\frac{4}{3}

+1

Solution steps

\int_{- 1}^{3} x^{2} - 2 x 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} x^{2} d x = \frac{28}{3}

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

= \frac{28}{3} - 8

Simplify

\frac{28}{3} - 8 : \frac{4}{3}

= \frac{4}{3}

Popular Examples

integral from-1 to 2 of 6x

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

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

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

integral from 0 to 2 of 2^{5x}

\int_{0}^{2} 2^{5 x} d x

integral from 0 to 3 of (2x+5)

\int_{0}^{3} (2 x + 5) d x

integral from 0 to 1 of cosh^2(x)

\int_{0}^{1} cosh^{2} (x) d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 3 of x^2-2x ?
The integral from-1 to 3 of x^2-2x is 4/3