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Popular >

integral from-2 to 1 of 5-x^2

Solution

\int_{- 2}^{1} 5 - x^{2} d x

Solution

12

Solution steps

\int_{- 2}^{1} 5 - 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_{- 2}^{1} 5 d x - \int_{- 2}^{1} x^{2} d x

\int_{- 2}^{1} 5 d x = 15

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

= 15 - 3

Simplify

= 12

Popular Examples

integral from-1 to 1 of-t*e^{-iwt}

\int_{- 1}^{1} - t \cdot e^{- i wt} d t

integral from pi/4 to pi/2 of ln(sin(x))

\int_{\frac{π}{4}}^{\frac{π}{2}} ln (sin (x)) d x

integral from 0 to x of 1/(1+x)

\int_{0}^{x} \frac{1}{1 + x} d x

integral from x to 2x of yzcos(x^5)

\int_{x}^{2 x} yz cos (x^{5}) d z

integral from pi/4 to pi/2 of sin(θ)

\int_{\frac{π}{4}}^{\frac{π}{2}} sin (θ) d θ

Frequently Asked Questions (FAQ)

What is the integral from-2 to 1 of 5-x^2 ?
The integral from-2 to 1 of 5-x^2 is 12