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Popular >

integral from 0 to 4 of (4-4x)

Solution

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

Solution

- 16

Solution steps

\int_{0}^{4} 4 - 4 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_{0}^{4} 4 d x - \int_{0}^{4} 4 x d x

\int_{0}^{4} 4 d x = 16

\int_{0}^{4} 4 x d x = 32

= 16 - 32

Simplify

= - 16

Popular Examples

integral from 0 to 1 of x*6x(1-x)

\int_{0}^{1} x \cdot 6 x (1 - x) d x

integral from 5 to 11 of y/(y^2-y-2)

\int_{5}^{11} \frac{y}{y ^{2} - y - 2} d y

integral from 0 to 2z of-1+x

\int_{0}^{2 z} - 1 + x d x

integral from 0 to 5 of sqrt(x)sqrt(5-x)

\int_{0}^{5} x 5 - x d x

integral from 1 to 3 of (e^xln(x))

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of (4-4x) ?
The integral from 0 to 4 of (4-4x) is -16