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Popular >

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

Solution

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

Solution

9

Solution steps

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

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

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

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

= 3 + 12 - 6

Simplify

= 9

Popular Examples

integral from-pi to 0 of-x^2-pix

\int_{- π}^{0} - x^{2} - π x d x

integral from 0 to t of 9/(sqrt(1-x^2))

\int_{0}^{t} \frac{9}{1 - x ^{2}} d x

integral from 9 to 36 of (sqrt(x)-2)

\int_{9}^{36} (x - 2) d x

integral from 1 to 4 of sqrt(3x-2)

\int_{1}^{4} 3 x - 2 d x

integral from 5 to 10 of ((5-x)^4)/(625)

\int_{5}^{10} \frac{( 5 - x ) ^{4}}{625} d x

Frequently Asked Questions (FAQ)

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