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Popular >

integral from 0 to 4 of (6-6x)

Solution

\int_{0}^{4} (6 - 6 x) d x

Solution

- 24

Solution steps

\int_{0}^{4} 6 - 6 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} 6 d x - \int_{0}^{4} 6 x d x

\int_{0}^{4} 6 d x = 24

\int_{0}^{4} 6 x d x = 48

= 24 - 48

Simplify

= - 24

Popular Examples

integral from-1 to 0 of 1/(sqrt(-x))

\int_{- 1}^{0} \frac{1}{- x} d x

integral from 1 to 4 of 4x^3+5x^4+2

\int_{1}^{4} 4 x^{3} + 5 x^{4} + 2 d x

integral from 0 to 1/e of 1/(x(ln(x))^2)

\int_{0}^{\frac{1}{e}} \frac{1}{x ( ln ( x ) ) ^{2}} d x

integral from 0 to x^{10 of}cos(sqrt(t))

\int_{0}^{x^{10}} cos (t) d t

integral from 0 to pi/3 of 1/(cos^2(2x))

\int_{0}^{\frac{π}{3}} \frac{1}{cos ^{2} ( 2 x )} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of (6-6x) ?
The integral from 0 to 4 of (6-6x) is -24