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Popular >

integral from-3 to 6 of 3x-5

Solution

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

Solution

- \frac{9}{2}

+1

Decimal

- 4.5

Solution steps

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

\int_{- 3}^{6} 3 x d x = \frac{81}{2}

\int_{- 3}^{6} 5 d x = 45

= \frac{81}{2} - 45

Simplify

\frac{81}{2} - 45 : - \frac{9}{2}

= - \frac{9}{2}

Graph

Popular Examples

integral from 0 to 1 of (7x^2-8x+6)

\int_{0}^{1} (7 x^{2} - 8 x + 6) d x

integral from 1 to 5 of x^2-2x-15

\int_{1}^{5} x^{2} - 2 x - 15 d x

integral from 1 to 5 of (3x^2)

\int_{1}^{5} (3 x^{2}) d x

integral from 3 to 6 of (x-3)^2

\int_{3}^{6} (x - 3)^{2} d x

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

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

Frequently Asked Questions (FAQ)

What is the integral from-3 to 6 of 3x-5 ?
The integral from-3 to 6 of 3x-5 is -9/2