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Popular >

integral from 1 to 2 of x^3-1

Solution

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

Solution

\frac{11}{4}

+1

Solution steps

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

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

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

= \frac{15}{4} - 1

Simplify

\frac{15}{4} - 1 : \frac{11}{4}

= \frac{11}{4}

Popular Examples

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

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

integral from 0 to 8 of sqrt(x)

\int_{0}^{8} x d x

integral from 2 to 4 of (x^3+6x^2+9x+1)

\int_{2}^{4} (x^{3} + 6 x^{2} + 9 x + 1) d x

integral from 1 to 2 of x^{-4}

\int_{1}^{2} x^{- 4} d x

integral from 1 to 9 of 3sqrt(x)

\int_{1}^{9} 3 x d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of x^3-1 ?
The integral from 1 to 2 of x^3-1 is 11/4