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Popular >

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

Solution

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

Solution

3

Solution steps

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

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

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

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

= 3 - 3 + 3

Simplify

= 3

Popular Examples

integral from-1 to 2 of sqrt(x+2)

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

integral from-1 to 1 of 1/(x^2-5x+6)

\int_{- 1}^{1} \frac{1}{x ^{2} - 5 x + 6} d x

integral from 2 to 4 of 8/(x^2)

\int_{2}^{4} \frac{8}{x ^{2}} d x

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

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

integral from 0 to 1 of 8pix

\int_{0}^{1} 8 π x d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 1 of x^2+2x+1 ?
The integral from-2 to 1 of x^2+2x+1 is 3