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Popular >

integral from-1 to 1 of 3-x^2

Solution

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

Solution

\frac{16}{3}

+1

Decimal

5.33333 \dots

Solution steps

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

\int_{- 1}^{1} 3 d x = 6

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

= 6 - \frac{2}{3}

Simplify

6 - \frac{2}{3} : \frac{16}{3}

= \frac{16}{3}

Graph

Popular Examples

integral from 0 to 3 of x/3 e^{x^2}

\int_{0}^{3} \frac{x}{3} e^{x^{2}} d x

integral from 0 to a of 7e^x

\int_{0}^{a} 7 e^{x} d x

integral from-pi/2 to pi/2 of 4cos^6(x)

\int_{- \frac{π}{2}}^{\frac{π}{2}} 4 cos^{6} (x) d x

integral from x^4 to x^3 of (2t-1)^3

\int_{x^{4}}^{x^{3}} (2 t - 1)^{3} d t

integral from 0 to infinity of 2ye^{-2y}

\int_{0}^{\infty} 2 y e^{- 2 y} d y

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of 3-x^2 ?
The integral from-1 to 1 of 3-x^2 is 16/3