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Popular >

integral from 1 to 4 of (x^2-2x)

Solution

\int_{1}^{4} (x^{2} - 2 x) d x

Solution

6

Solution steps

\int_{1}^{4} x^{2} - 2 x 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^{2} d x - \int_{1}^{4} 2 x d x

\int_{1}^{4} x^{2} d x = 21

\int_{1}^{4} 2 x d x = 15

= 21 - 15

Simplify

= 6

Graph

Popular Examples

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\int_{0}^{10} \frac{ln ( x )}{x} d x

integral from-2 to 2 of (x^2+2)

\int_{- 2}^{2} (x^{2} + 2) d x

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\int_{- 5}^{10} e^{- 0.05 x} d x

integral from-2 to 1 of 2-y-y^2

\int_{- 2}^{1} 2 - y - y^{2} d y

Frequently Asked Questions (FAQ)

What is the integral from 1 to 4 of (x^2-2x) ?
The integral from 1 to 4 of (x^2-2x) is 6