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

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

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integral from 3 to 4 of 4x^5

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

\frac{6734}{3}

Decimal

2244.66666 \dots

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

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

Compute the boundaries:

\frac{3367}{6}

= 4 \cdot \frac{3367}{6}

Simplify

= \frac{6734}{3}

\int_{1}^{4} 3 x^{3} ln (3 x^{3}) d x

\int_{0}^{1} x^{9} d x

\int_{0}^{π} 4 (4 - 3 cos (x))^{\frac{1}{3}} sin (x) d x

\int_{0}^{\frac{π}{5}} x^{2} sin (5 x) d x

\int_{0}^{\frac{5}{12}} \frac{1}{144 x ^{2} + 25} d x

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