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Popular >

integral from-1 to 2 of 2x^2-2x-4

Solution

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

Solution

- 9

Solution steps

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

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

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

\int_{- 1}^{2} 4 d x = 12

= 6 - 3 - 12

Simplify

= - 9

Graph

Popular Examples

integral from 0 to 2 of 2^x-1-(3x)/2

\int_{0}^{2} 2^{x} - 1 - \frac{3 x}{2} d x

integral from 0 to 2 of 1/(x^2+4x+3)

\int_{0}^{2} \frac{1}{x ^{2} + 4 x + 3} d x

integral from 1 to 2 of 1/((3x-1)^2)

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

integral from pi to 2pi of sin(x)cos(nx)

\int_{π}^{2 π} sin (x) cos (n x) d x

integral from-5 to 5 of x^3

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

Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of 2x^2-2x-4 ?
The integral from-1 to 2 of 2x^2-2x-4 is -9