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Popular >

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

Solution

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

Solution

9

Solution steps

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

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

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

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

= 12 - 6 + 3

Simplify

= 9

Popular Examples

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

\int_{1}^{4} (x + x^{2}) d x

integral from 1/e to e of (|ln(x)|)/x

\int_{\frac{1}{e}}^{e} \frac{∣ ln ( x ) ∣}{x} d x

integral from 0 to 0.4 of ln(1+x^4)

\int_{0}^{0.4} ln (1 + x^{4}) d x

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

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

integral from 1 to 2 of x^3-x

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

Frequently Asked Questions (FAQ)

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