What is the integral from 0 to 3 of x^5 ?

The integral from 0 to 3 of x^5 is 243/2

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integral from 0 to 3 of x^5

\int_{0}^{3} x^{5} d x

\frac{243}{2}

Decimal

121.5

Solution steps

\int_{0}^{3} x^{5} d x

Apply the Power Rule

: [\frac{x ^{6}}{6}]_{0}^{3}

= [\frac{x ^{6}}{6}]_{0}^{3}

Compute the boundaries:

\frac{243}{2}

= \frac{243}{2}

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

\int_{3}^{11} x^{2} d x

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

\int_{2}^{5} \frac{1}{x ^{2} - 4 x + 13} d x

\int_{0}^{π} (1 + cos (θ))^{2} d θ

What is the integral from 0 to 3 of x^5 ?
The integral from 0 to 3 of x^5 is 243/2