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Popular >

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

Solution

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

Solution

9

Solution steps

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

\int_{1}^{4} 4 x d x = 30

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

= 30 - 21

Simplify

= 9

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

Frequently Asked Questions (FAQ)

What is the integral from 1 to 4 of 4x-x^2 ?
The integral from 1 to 4 of 4x-x^2 is 9