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Popular >

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

Solution

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

Solution

\frac{56}{3}

+1

Decimal Notation

18.66666 \dots

Solution steps

\int_{- 4}^{4} x^{2} - 3 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_{- 4}^{4} x^{2} d x - \int_{- 4}^{4} 3 d x

\int_{- 4}^{4} x^{2} d x = \frac{128}{3}

\int_{- 4}^{4} 3 d x = 24

= \frac{128}{3} - 24

Simplify

\frac{128}{3} - 24 : \frac{56}{3}

= \frac{56}{3}

Popular Examples

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

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

integral from 0 to 1 of 1/(1-e^x)

\int_{0}^{1} \frac{1}{1 - e ^{x}} d x

integral from 1 to 2 of (x-2)/x

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

integral from 0 to 1 of 3x^2cos(x^3)

\int_{0}^{1} 3 x^{2} cos (x^{3}) d x

integral from 0 to pi/2 of 4xsin(2x)

\int_{0}^{\frac{π}{2}} 4 x sin (2 x) d x

Frequently Asked Questions (FAQ)

What is the integral from-4 to 4 of (x^2-3) ?
The integral from-4 to 4 of (x^2-3) is 56/3