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Popular Calculus >

integral from 1 to 4 of x^3-1

Solution

\int_{1}^{4} x^{3} - 1 d x

Solution

\frac{243}{4}

+1

Decimal

60.75

Solution steps

\int_{1}^{4} x^{3} - 1 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{1}^{4} x^{3} d x - \int_{1}^{4} 1 d x

\int_{1}^{4} x^{3} d x = \frac{255}{4}

\int_{1}^{4} 1 d x = 3

= \frac{255}{4} - 3

Simplify

\frac{255}{4} - 3 : \frac{243}{4}

= \frac{243}{4}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 1 to 4 of x^3-1 ?
The integral from 1 to 4 of x^3-1 is 243/4