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Popular >

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

Solution

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

Solution

\frac{16}{3}

+1

Decimal

5.33333 \dots

Solution steps

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

\int_{2}^{4} 4 x d x = 24

\int_{2}^{4} x^{2} d x = \frac{56}{3}

= 24 - \frac{56}{3}

Simplify

24 - \frac{56}{3} : \frac{16}{3}

= \frac{16}{3}

Graph

Popular Examples

integral from 0 to 1 of (4x-3)^2

\int_{0}^{1} (4 x - 3)^{2} d x

integral from 0 to 2 of 3/2 x^2

\int_{0}^{2} \frac{3}{2} x^{2} d x

integral from 0 to 3 of (3t-1)^{56}

\int_{0}^{3} (3 t - 1)^{56} d t

integral from-2 to 1 of sqrt(3t^2-1)

\int_{- 2}^{1} 3 t^{2} - 1 d t

integral from-2 to 2 of 3-|x|^3

\int_{- 2}^{2} 3 - ∣ x ∣^{3} d x

Frequently Asked Questions (FAQ)

What is the integral from 2 to 4 of 4x-x^2 ?
The integral from 2 to 4 of 4x-x^2 is 16/3