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Popular >

integral from 1 to 4 of (4-x)

Solution

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

Solution

\frac{9}{2}

+1

Decimal

4.5

Solution steps

\int_{1}^{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_{1}^{4} 4 d x - \int_{1}^{4} x d x

\int_{1}^{4} 4 d x = 12

\int_{1}^{4} x d x = \frac{15}{2}

= 12 - \frac{15}{2}

Simplify

12 - \frac{15}{2} : \frac{9}{2}

= \frac{9}{2}

Graph

Popular Examples

integral from-1 to 1 of (x+3)/(x^2+2x+5)

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

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

\int_{0}^{1} \frac{x}{x ^{2} - 3 x} d x

integral from 0 to t of e^{-u}(t-u)^2

\int_{0}^{t} e^{- u} (t - u)^{2} d u

integral from 0 to pi/4 of (7sec^2(x))

\int_{0}^{\frac{π}{4}} (7 sec^{2} (x)) d x

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

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

Frequently Asked Questions (FAQ)

What is the integral from 1 to 4 of (4-x) ?
The integral from 1 to 4 of (4-x) is 9/2