What is the integral from 0 to 4sqrt(2 of)2-x^{2/5} ?

The integral from 0 to 4sqrt(2 of)2-x^{2/5} is 8sqrt(2)-(40sqrt(2))/7

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integral from 0 to 4sqrt(2 of)2-x^{2/5}

\int_{0}^{42} 2 - x^{\frac{2}{5}} d x

82 - \frac{40 2}{7}

Decimal Notation

3.23248 \dots

Solution steps

\int_{0}^{42} 2 - x^{\frac{2}{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}^{42} 2 d x - \int_{0}^{42} x^{\frac{2}{5}} d x

\int_{0}^{42} 2 d x = 82

\int_{0}^{42} x^{\frac{2}{5}} d x = \frac{40 2}{7}

= 82 - \frac{40 2}{7}

\int tan (\frac{t}{2}) d t

\int_{0}^{1} (x + 7) (x - 8) d x

x \to - 4 lim (- x^{2} + 2 x - 8)

5 (e^{x})^{- 4}

f (x) = \frac{1}{x ^{6}}, (- 3, \frac{1}{729})

What is the integral from 0 to 4sqrt(2 of)2-x^{2/5} ?
The integral from 0 to 4sqrt(2 of)2-x^{2/5} is 8sqrt(2)-(40sqrt(2))/7