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Popular >

integral from-1 to 2 of 8x-x^2-7

Solution

\int_{- 1}^{2} 8 x - x^{2} - 7 d x

Solution

- 12

Solution steps

\int_{- 1}^{2} 8 x - x^{2} - 7 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} 8 x d x - \int_{- 1}^{2} x^{2} d x - \int_{- 1}^{2} 7 d x

\int_{- 1}^{2} 8 x d x = 12

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

\int_{- 1}^{2} 7 d x = 21

= 12 - 3 - 21

Simplify

= - 12

Graph

Popular Examples

integral from-1 to 0 of-2x+3

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

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

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

integral from 2 to 6 of x^2+7

\int_{2}^{6} x^{2} + 7 d x

integral from-pi to 0 of (pi+x)sin(nx)

\int_{- π}^{0} (π + x) sin (n x) d x

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

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

Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of 8x-x^2-7 ?
The integral from-1 to 2 of 8x-x^2-7 is -12