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Popular >

integral from 3 to 5 of x^2-4x

Solution

\int_{3}^{5} x^{2} - 4 x d x

Solution

\frac{2}{3}

+1

Decimal Notation

0.66666 \dots

Solution steps

\int_{3}^{5} 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_{3}^{5} x^{2} d x - \int_{3}^{5} 4 x d x

\int_{3}^{5} x^{2} d x = \frac{98}{3}

\int_{3}^{5} 4 x d x = 32

= \frac{98}{3} - 32

Simplify

\frac{98}{3} - 32 : \frac{2}{3}

= \frac{2}{3}

Popular Examples

integral from 0.8 to 1 of 5(1-x)

\int_{0.8}^{1} 5 (1 - x) d x

integral from 0 to pi/3 of xsin(x+y)

\int_{0}^{\frac{π}{3}} x sin (x + y) d y

integral from x to 2 of (xy)/2

\int_{x}^{2} \frac{x y}{2} d y

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

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

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

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

Frequently Asked Questions (FAQ)

What is the integral from 3 to 5 of x^2-4x ?
The integral from 3 to 5 of x^2-4x is 2/3