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Popular >

integral from-1 to 2 of (x+x^4)

Solution

\int_{- 1}^{2} (x + x^{4}) d x

Solution

\frac{81}{10}

+1

Decimal

8.1

Solution steps

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

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

\int_{- 1}^{2} x^{4} d x = \frac{33}{5}

= \frac{3}{2} + \frac{33}{5}

Simplify

\frac{3}{2} + \frac{33}{5} : \frac{81}{10}

= \frac{81}{10}

Graph

Popular Examples

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\int_{0}^{2} 0.5 e^{- 0.5 x} d x

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\int_{0}^{1} (x^{3} + 3 x^{2}) d x

integral from 0 to 3 of (3x(8-x))/(256)

\int_{0}^{3} \frac{3 x ( 8 - x )}{256} d x

integral from 1 to infinity of 1/(2x+3)

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

integral from 0 to pi/2 of 1/(3+cos(2a))

\int_{0}^{\frac{π}{2}} \frac{1}{3 + cos ( 2 a )} d a

Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of (x+x^4) ?
The integral from-1 to 2 of (x+x^4) is 81/10