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Popular >

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

Solution

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

Solution

- \frac{22}{3}

+1

Decimal

- 7.33333 \dots

Solution steps

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

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

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

= \frac{26}{3} - 16

Simplify

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

= - \frac{22}{3}

Graph

Popular Examples

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\int_{1}^{5} \frac{4 ( ln ( x ) ) ^{3}}{x} d x

integral from 0 to t of sin(t-x)sin(x)

\int_{0}^{t} sin (t - x) sin (x) d x

integral from 2 to 3 of 8x^3+3x^2+6x

\int_{2}^{3} 8 x^{3} + 3 x^{2} + 6 x d x

integral from-pi to 0 of x^2

\int_{- π}^{0} x^{2} d x

integral from 1 to 25 of 3/(sqrt(x))

\int_{1}^{25} \frac{3}{x} d x

Frequently Asked Questions (FAQ)

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