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Popular >

integral from 1 to 2 of (1-x^3)

Solution

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

Solution

- \frac{11}{4}

+1

Decimal

- 2.75

Solution steps

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

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

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

= 1 - \frac{15}{4}

Simplify

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

= - \frac{11}{4}

Graph

Popular Examples

integral from 2 to 5 of x/(x^2-4)

\int_{2}^{5} \frac{x}{x ^{2} - 4} d x

integral from 0 to pi of 4cos^2(θ)

\int_{0}^{π} 4 cos^{2} (θ) d θ

integral from 9 to 10 of x/9-9/x

\int_{9}^{10} \frac{x}{9} - \frac{9}{x} d x

integral from 0 to 4 of sqrt(2x)

\int_{0}^{4} 2 x d x

integral from-1 to 1 of xsin((npix)/2)

\int_{- 1}^{1} x sin (\frac{nπ x}{2}) d x

Frequently Asked Questions (FAQ)

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