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Popular >

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

Solution

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

Solution

6

Solution steps

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

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

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

= 3 + 3

Simplify

= 6

Popular Examples

integral from 0 to 2 of [x]

\int_{0}^{2} [x] d x

integral from 0 to 2 of (x^2-5)

\int_{0}^{2} (x^{2} - 5) d x

integral from e to 2e of ln(x)

\int_{e}^{2 e} ln (x) d x

integral from 0 to 3 of (x^2)/(x^3+9)

\int_{0}^{3} \frac{x ^{2}}{x ^{3} + 9} d x

integral from 0 to x of (x-y)

\int_{0}^{x} (x - y) d y

Frequently Asked Questions (FAQ)

What is the integral from-2 to 1 of (x^2+1) ?
The integral from-2 to 1 of (x^2+1) is 6