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Popular >

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

Solution

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

Solution

\frac{33}{4}

+1

Decimal Notation

8.25

Solution steps

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

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

\int_{1}^{2} 3 x d x = \frac{9}{2}

= \frac{15}{4} + \frac{9}{2}

Simplify

\frac{15}{4} + \frac{9}{2} : \frac{33}{4}

= \frac{33}{4}

Popular Examples

integral from 50 to 100 of 1/x

\int_{50}^{100} \frac{1}{x} d x

integral from 2 to 4 of arctan(2/x)

\int_{2}^{4} arctan (\frac{2}{x}) d x

integral from 1 to 0 of ze^{-1}

\int_{1}^{0} z e^{- 1} d z

integral from 0 to pi of e^{-st}

\int_{0}^{π} e^{- s t} d t

integral from 1 to 3 of 6/(sqrt(x))

\int_{1}^{3} \frac{6}{x} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of x^3+3x ?
The integral from 1 to 2 of x^3+3x is 33/4