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Popular >

integral from 1 to 4 of x^3-1

Solution

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

Solution

\frac{243}{4}

+1

Decimal Notation

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}

Popular Examples

integral from 4 to 2 of 6x

\int_{4}^{2} 6 x d x

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\int_{- 1}^{1} x cos (x^{2}) d x

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\int_{0}^{x} 30 e^{- 30 x} d x

integral from 1 to e of ln|x|

\int_{1}^{e} ln ∣ x ∣ d x

integral from 0 to 2 of 4y^2

\int_{0}^{2} 4 y^{2} d y

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