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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

Graph

Popular Examples

integral from 4 to 10 of g(t)

\int_{4}^{10} g (t) d t

integral from-4 to-2 of (x^2+1/(x^3))

\int_{- 4}^{- 2} (x^{2} + \frac{1}{x ^{3}}) d x

integral from 0 to 1 of pi(1-sqrt(x))^2

\int_{0}^{1} π (1 - x)^{2} d x

integral from 1 to 10 of (ln^3(x))/x

\int_{1}^{10} \frac{ln ^{3} ( x )}{x} d x

integral from 2 to 10 of sqrt(2x-4)

\int_{2}^{10} 2 x - 4 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