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Popular >

integral from 1 to 2 of x^3-x

Solution

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

Solution

\frac{9}{4}

+1

Solution steps

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

\int_{1}^{2} x^{3} d x = \frac{15}{4}

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

= \frac{15}{4} - \frac{3}{2}

Simplify

\frac{15}{4} - \frac{3}{2} : \frac{9}{4}

= \frac{9}{4}

Popular Examples

integral from 4 to 6 of x/(4x^2+8)

\int_{4}^{6} \frac{x}{4 x ^{2} + 8} d x

integral from 0 to 0.75 of 2(-y+1)

\int_{0}^{0.75} 2 (- y + 1) d y

integral from 1 to x^3 of sin(x)

\int_{1}^{x^{3}} sin (x) d x

integral from 0 to t^{10 of}sqrt(u^7)

\int_{0}^{t^{10}} u^{7} d u

integral from 1 to 5 of 1/(4x)

\int_{1}^{5} \frac{1}{4 x} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of x^3-x ?
The integral from 1 to 2 of x^3-x is 9/4