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Popular >

integral from 3 to 6 of-5x+6

Solution

\int_{3}^{6} - 5 x + 6 d x

Solution

- \frac{99}{2}

+1

Decimal

- 49.5

Solution steps

\int_{3}^{6} - 5 x + 6 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}^{6} 5 x d x + \int_{3}^{6} 6 d x

\int_{3}^{6} 5 x d x = \frac{135}{2}

\int_{3}^{6} 6 d x = 18

= - \frac{135}{2} + 18

Simplify

- \frac{135}{2} + 18 : - \frac{99}{2}

= - \frac{99}{2}

Graph

Popular Examples

integral from 1 to 7 of 1/(5x)

\int_{1}^{7} \frac{1}{5 x} d x

integral from pi/6 to pi/3 of sin(θ)

\int_{\frac{π}{6}}^{\frac{π}{3}} sin (θ) d θ

integral from-3 to 0 of 2x+3

\int_{- 3}^{0} 2 x + 3 d x

integral from 0 to x of 1/2 x

\int_{0}^{x} \frac{1}{2} x d x

integral from 3 to 9 of 1/x

\int_{3}^{9} \frac{1}{x} d x

Frequently Asked Questions (FAQ)

What is the integral from 3 to 6 of-5x+6 ?
The integral from 3 to 6 of-5x+6 is -99/2