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Popular >

integral from 1 to 3 of (4x-x^2)

Solution

\int_{1}^{3} (4 x - x^{2}) d x

Solution

\frac{22}{3}

+1

Decimal

7.33333 \dots

Solution steps

\int_{1}^{3} 4 x - x^{2} 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} 4 x d x - \int_{1}^{3} x^{2} d x

\int_{1}^{3} 4 x d x = 16

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

= 16 - \frac{26}{3}

Simplify

16 - \frac{26}{3} : \frac{22}{3}

= \frac{22}{3}

Graph

Popular Examples

integral of 1/(sqrt(x^2+2x+122))

\int \frac{1}{x ^{2} + 2 x + 122} d x

lcm (csc^2(x))/4 ,4sin^2(x)lcm

\frac{csc ^{2} ( x )}{4}, 4 sin^{2} (x)

integral of x^{5/2}

\int x^{\frac{5}{2}} d x

maclaurin ((e^x-e^{-x}))/2 maclaurin

\frac{( e ^{x} - e ^{- x} )}{2}

tangent of 4/(sqrt(x))tangent of

\frac{4}{x}

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of (4x-x^2) ?
The integral from 1 to 3 of (4x-x^2) is 22/3