What is the integral from-1 to 3 of x^5 ?

The integral from-1 to 3 of x^5 is 364/3

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integral from-1 to 3 of x^5

\int_{- 1}^{3} x^{5} d x

\frac{364}{3}

Decimal

121.33333 \dots

Solution steps

\int_{- 1}^{3} x^{5} d x

Apply the Power Rule

: [\frac{x ^{6}}{6}]_{- 1}^{3}

= [\frac{x ^{6}}{6}]_{- 1}^{3}

Compute the boundaries:

\frac{364}{3}

= \frac{364}{3}

\frac{1}{x - 1}, 2

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

a x^{n} + b x^{n - 1}

\int 2 x^{3} - 6 x^{2} d x

\frac{d y}{d x} + y = \frac{1 - e ^{- 2 x}}{e ^{x} + e ^{- x}}

What is the integral from-1 to 3 of x^5 ?
The integral from-1 to 3 of x^5 is 364/3