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Popular >

integral from 0 to 1 of (1+8x^5)

Solution

\int_{0}^{1} (1 + 8 x^{5}) d x

Solution

\frac{7}{3}

+1

Decimal

2.33333 \dots

Solution steps

\int_{0}^{1} 1 + 8 x^{5} 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_{0}^{1} 1 d x + \int_{0}^{1} 8 x^{5} d x

\int_{0}^{1} 1 d x = 1

\int_{0}^{1} 8 x^{5} d x = \frac{4}{3}

= 1 + \frac{4}{3}

Simplify

1 + \frac{4}{3} : \frac{7}{3}

= \frac{7}{3}

Graph

Popular Examples

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\int_{0}^{1} x (6 x - 6 x^{2}) d x

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\int_{3}^{9} (3 - x) (x - 9) d x

integral from 0 to 10 of (100-x^2)

\int_{0}^{10} (100 - x^{2}) d x

integral from 0 to 1 of x-(x^2)/4

\int_{0}^{1} x - \frac{x ^{2}}{4} d x

integral from 0 to 5/4 pi of 4/(25+x^2)

\int_{0}^{\frac{5}{4} π} \frac{4}{25 + x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of (1+8x^5) ?
The integral from 0 to 1 of (1+8x^5) is 7/3