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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{21}{4}

+1

Decimal Notation

5.25

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{21}{4}

= \frac{21}{4}

Popular Examples

integral from 1 to 3 of 1/(x+1)

\int_{1}^{3} \frac{1}{x + 1} d x

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

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

integral from e to e^3 of 1/(x(ln(x))^4)

\int_{e}^{e^{3}} \frac{1}{x ( ln ( x ) ) ^{4}} d x

integral from-1 to 1 of 1/2

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

integral from 0 to 4 of (7-t)sqrt(t)

\int_{0}^{4} (7 - t) t d t

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 21/4