What is the integral from 0 to 2 of x^5 ?

The integral from 0 to 2 of x^5 is 32/3

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integral from 0 to 2 of x^5

\int_{0}^{2} x^{5} d x

\frac{32}{3}

Decimal

10.66666 \dots

Solution steps

\int_{0}^{2} x^{5} d x

Apply the Power Rule

: [\frac{x ^{6}}{6}]_{0}^{2}

= [\frac{x ^{6}}{6}]_{0}^{2}

Compute the boundaries:

\frac{32}{3}

= \frac{32}{3}

\int cos^{4} (2 t) d t

f (x) = x^{4} + 4 x

\int (1 + tan (x))^{2} d x

y^{2} + y

x \to 3 - lim (\frac{- x}{x - 3})

What is the integral from 0 to 2 of x^5 ?
The integral from 0 to 2 of x^5 is 32/3