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Popular >

integral from 0 to 4 of 3-x/4

Solution

\int_{0}^{4} 3 - \frac{x}{4} d x

Solution

10

Solution steps

\int_{0}^{4} 3 - \frac{x}{4} 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} 3 d x - \int_{0}^{4} \frac{x}{4} d x

\int_{0}^{4} 3 d x = 12

\int_{0}^{4} \frac{x}{4} d x = 2

= 12 - 2

Simplify

= 10

Popular Examples

integral from-1 to 5 of kx^2

\int_{- 1}^{5} k x^{2} d x

integral from 1 to infinity of xe^{-15x}

\int_{1}^{\infty} x e^{- 15 x} d x

integral from 0 to 2 of x^3*e^{x^4}

\int_{0}^{2} x^{3} \cdot e^{x^{4}} d x

integral from 1 to 5 of (x-5/x)^2

\int_{1}^{5} (x - \frac{5}{x})^{2} d x

integral from 0 to pi/6 of (cos(3x))^8

\int_{0}^{\frac{π}{6}} (cos (3 x))^{8} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of 3-x/4 ?
The integral from 0 to 4 of 3-x/4 is 10