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Popular >

integral from 1 to 5 of x^2-5x

Solution

\int_{1}^{5} x^{2} - 5 x d x

Solution

- \frac{56}{3}

+1

Decimal Notation

- 18.66666 \dots

Solution steps

\int_{1}^{5} x^{2} - 5 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}^{5} x^{2} d x - \int_{1}^{5} 5 x d x

\int_{1}^{5} x^{2} d x = \frac{124}{3}

\int_{1}^{5} 5 x d x = 60

= \frac{124}{3} - 60

Simplify

\frac{124}{3} - 60 : - \frac{56}{3}

= - \frac{56}{3}

Popular Examples

integral from 0 to 1 of 1/((2x+3y)^2)

\int_{0}^{1} \frac{1}{( 2 x + 3 y ) ^{2}} d x

integral from 0 to 1 of 8

\int_{0}^{1} 8 d x

integral from 2 to 5 of (3x^2-4x+2)

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

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

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

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

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

Frequently Asked Questions (FAQ)

What is the integral from 1 to 5 of x^2-5x ?
The integral from 1 to 5 of x^2-5x is -56/3