What is the integral from-1 to 5 of 6x^5 ?

The integral from-1 to 5 of 6x^5 is 15624

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integral from-1 to 5 of 6x^5

\int_{- 1}^{5} 6 x^{5} d x

15624

Solution steps

\int_{- 1}^{5} 6 x^{5} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 6 \cdot \int_{- 1}^{5} x^{5} d x

Apply the Power Rule

: [\frac{x ^{6}}{6}]_{- 1}^{5}

= 6 [\frac{x ^{6}}{6}]_{- 1}^{5}

Compute the boundaries:

2604

= 6 \cdot 2604

Simplify

= 15624

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What is the integral from-1 to 5 of 6x^5 ?
The integral from-1 to 5 of 6x^5 is 15624