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Popular >

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

Solution

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

Solution

9

Solution steps

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

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

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

= - 3 + 12

Simplify

= 9

Graph

Popular Examples

integral from 1 to 3 of (5x-x^2)

\int_{1}^{3} (5 x - x^{2}) d x

integral from 4 to 5 of x^2

\int_{4}^{5} x^{2} d x

integral from 0 to 4 of (4-x)(sqrt(x))

\int_{0}^{4} (4 - x) (x) d x

integral from-6 to-3 of sqrt(-x-2)

\int_{- 6}^{- 3} - x - 2 d x

integral from 0 to 4 of (13-x)sqrt(x)

\int_{0}^{4} (13 - x) x d x

Frequently Asked Questions (FAQ)

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