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Popular >

integral from 1 to 5 of-x^2+6x-5

Solution

\int_{1}^{5} - x^{2} + 6 x - 5 d x

Solution

\frac{32}{3}

+1

Decimal

10.66666 \dots

Solution steps

\int_{1}^{5} - x^{2} + 6 x - 5 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} 6 x d x - \int_{1}^{5} 5 d x

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

\int_{1}^{5} 6 x d x = 72

\int_{1}^{5} 5 d x = 20

= - \frac{124}{3} + 72 - 20

Simplify

- \frac{124}{3} + 72 - 20 : \frac{32}{3}

= \frac{32}{3}

Graph

Popular Examples

integral from 0 to 1 of e^{2x+3}

\int_{0}^{1} e^{2 x + 3} d x

integral from 0 to ln(5) of 2e^{3x}

\int_{0}^{l n (5)} 2 e^{3 x} d x

integral from-1 to 1 of y^3-y

\int_{- 1}^{1} y^{3} - y d y

integral from 2 to 6 of 1/(sqrt(4x+1))

\int_{2}^{6} \frac{1}{4 x + 1} d x

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

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

Frequently Asked Questions (FAQ)

What is the integral from 1 to 5 of-x^2+6x-5 ?
The integral from 1 to 5 of-x^2+6x-5 is 32/3