What is the integral from 3 to 4 of 7x^3 ?

The integral from 3 to 4 of 7x^3 is 1225/4

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integral from 3 to 4 of 7x^3

\int_{3}^{4} 7 x^{3} d x

\frac{1225}{4}

Decimal

306.25

Solution steps

\int_{3}^{4} 7 x^{3} d x

Take the constant out:

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

= 7 \cdot \int_{3}^{4} x^{3} d x

Apply the Power Rule

: [\frac{x ^{4}}{4}]_{3}^{4}

= 7 [\frac{x ^{4}}{4}]_{3}^{4}

Compute the boundaries:

\frac{175}{4}

= 7 \cdot \frac{175}{4}

Simplify

= \frac{1225}{4}

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What is the integral from 3 to 4 of 7x^3 ?
The integral from 3 to 4 of 7x^3 is 1225/4