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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

Decimal Notation

1.33333 \dots

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 0 to 3 of 9/(x^2+9)

\int_{0}^{3} \frac{9}{x ^{2} + 9} d x

integral of 5picos(pi)x

\int 5 π cos (π) x d x

integral of (x^{1.7}+11x^{4.5})

\int (x^{1.7} + 11 x^{4.5}) d x

y^'=(18(1+3y))/((3-3x)^2),y(2)=0

y^{^{'}} = \frac{18 ( 1 + 3 y )}{( 3 - 3 x ) ^{2}}, y (2) = 0

derivative of \sqrt[3]{x}+3/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