What is the integral from 3 to 4 of-12x^5 ?

The integral from 3 to 4 of-12x^5 is -6734

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integral from 3 to 4 of-12x^5

\int_{3}^{4} - 12 x^{5} d x

- 6734

Solution steps

\int_{3}^{4} - 12 x^{5} d x

Take the constant out:

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

= - 12 \cdot \int_{3}^{4} x^{5} d x

Apply the Power Rule

= - 12 [\frac{x ^{6}}{6}]_{3}^{4}

Compute the boundaries:

\frac{3367}{6}

= - 12 \cdot \frac{3367}{6}

Simplify

= - 6734

What is the integral from 3 to 4 of-12x^5 ?
The integral from 3 to 4 of-12x^5 is -6734