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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

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}

Graph

Popular Examples

integral from-1 to 2 of 6x(x^2-1)^2

\int_{- 1}^{2} 6 x (x^{2} - 1)^{2} d x

integral from 1 to 6 of 1/(25+(x+4)^2)

\int_{1}^{6} \frac{1}{25 + ( x + 4 ) ^{2}} d x

integral from 5 to 9 of 1/(sqrt(x-5))

\int_{5}^{9} \frac{1}{x - 5} d x

integral from 0 to 4 of (x^2-4)

\int_{0}^{4} (x^{2} - 4) d x

integral from 2 to infinity of 1/(ln(n))

\int_{2}^{\infty} \frac{1}{ln ( n )}

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