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Popular >

integral from-2 to-1 of 3x-9

Solution

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

Solution

- \frac{27}{2}

+1

Decimal

- 13.5

Solution steps

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

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

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

= - \frac{9}{2} - 9

Simplify

- \frac{9}{2} - 9 : - \frac{27}{2}

= - \frac{27}{2}

Graph

Popular Examples

integral from-pi to pi of xcos(n)x

\int_{- π}^{π} x cos (n) x d x

integral from 0 to sin(z) of x-1

\int_{0}^{s i n (z)} x - 1 d x

integral from pi/4 to (3pi)/4 of csc(x)

\int_{\frac{π}{4}}^{\frac{3 π}{4}} csc (x) d x

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

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

integral from-pi/6 to pi/6 of tan^3(x)

\int_{- \frac{π}{6}}^{\frac{π}{6}} tan^{3} (x) d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to-1 of 3x-9 ?
The integral from-2 to-1 of 3x-9 is -27/2