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Popular >

integral from-1 to 0 of 2-x^2

Solution

\int_{- 1}^{0} 2 - x^{2} d x

Solution

\frac{5}{3}

+1

Solution steps

\int_{- 1}^{0} 2 - 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_{- 1}^{0} 2 d x - \int_{- 1}^{0} x^{2} d x

\int_{- 1}^{0} 2 d x = 2

\int_{- 1}^{0} x^{2} d x = \frac{1}{3}

= 2 - \frac{1}{3}

Simplify

2 - \frac{1}{3} : \frac{5}{3}

= \frac{5}{3}

Popular Examples

integral from 0 to 1 of (7-21/2 x)^2

\int_{0}^{1} (7 - \frac{21}{2} x)^{2} d x

integral from 0 to 14 of 8x

\int_{0}^{14} 8 x d x

integral from 0 to 4 of 3-x/4

\int_{0}^{4} 3 - \frac{x}{4} d x

integral from-1 to 5 of kx^2

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

integral from 1 to infinity of xe^{-15x}

\int_{1}^{\infty} x e^{- 15 x} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 0 of 2-x^2 ?
The integral from-1 to 0 of 2-x^2 is 5/3