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Popular >

integral from-1 to 2 of (3x+6)

Solution

\int_{- 1}^{2} (3 x + 6) d x

Solution

\frac{45}{2}

+1

Decimal

22.5

Solution steps

\int_{- 1}^{2} 3 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_{- 1}^{2} 3 x d x + \int_{- 1}^{2} 6 d x

\int_{- 1}^{2} 3 x d x = \frac{9}{2}

\int_{- 1}^{2} 6 d x = 18

= \frac{9}{2} + 18

Simplify

\frac{9}{2} + 18 : \frac{45}{2}

= \frac{45}{2}

Graph

Popular Examples

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

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

integral from 1 to 5 of ((3x^2+6x+1)/x)

\int_{1}^{5} (\frac{3 x ^{2} + 6 x + 1}{x}) d x

integral from 0 to pi/2 of sqrt(x)

\int_{0}^{\frac{π}{2}} x d x

integral from 0 to 1 of (sqrt(x))-(x^2)

\int_{0}^{1} (x) - (x^{2}) d x

integral from 0 to infinity of 3e^{-4x}

\int_{0}^{\infty} 3 e^{- 4 x} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of (3x+6) ?
The integral from-1 to 2 of (3x+6) is 45/2