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Popular >

integral from 0 to 4 of (x^2-3x)

Solution

\int_{0}^{4} (x^{2} - 3 x) d x

Solution

- \frac{8}{3}

+1

Decimal Notation

- 2.66666 \dots

Solution steps

\int_{0}^{4} x^{2} - 3 x 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_{0}^{4} x^{2} d x - \int_{0}^{4} 3 x d x

\int_{0}^{4} x^{2} d x = \frac{64}{3}

\int_{0}^{4} 3 x d x = 24

= \frac{64}{3} - 24

Simplify

\frac{64}{3} - 24 : - \frac{8}{3}

= - \frac{8}{3}

Popular Examples

integral of 6/(x(x^2+25))

\int \frac{6}{x ( x ^{2} + 25 )} d x

derivative of sqrt(x^2-x+4)

\frac{d}{d x} (x^{2} - x + 4)

integral of (e^x)/(e^x+5)

\int \frac{e ^{x}}{e ^{x} + 5} d x

f(x)=arccot(sqrt(x))

f (x) = arccot (x)

integral of x^{13}cos(x^7)

\int x^{13} cos (x^{7}) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of (x^2-3x) ?
The integral from 0 to 4 of (x^2-3x) is -8/3