What is the integral from 1 to 4 of sqrt(5-x) ?

The integral from 1 to 4 of sqrt(5-x) is 14/3

Popular >

integral from 1 to 4 of sqrt(5-x)

\int_{1}^{4} 5 - x d x

\frac{14}{3}

Solution steps

\int_{1}^{4} 5 - x d x

Apply u-substitution

: \int_{4}^{1} - u d u

= \int_{4}^{1} - u d u

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{1}^{4} - u d u

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - (- \int_{1}^{4} u d u)

Apply the Power Rule

: [\frac{2}{3} u^{\frac{3}{2}}]_{1}^{4}

= - (- [\frac{2}{3} u^{\frac{3}{2}}]_{1}^{4})

Simplify

= [\frac{2}{3} u^{\frac{3}{2}}]_{1}^{4}

Compute the boundaries:

\frac{14}{3}

= \frac{14}{3}

\int_{0}^{4} \frac{1}{64 - x ^{2}} d x

\frac{\partial}{\partial x} (5 x y e^{- x^{2} - y^{2}})

e^{1}

k \to \infty lim \frac{( ( k + 1 ) ^{75} ( k + 4 ) )}{( k + 5 ) k ^{75}}

x \to \infty lim (ln (3))

What is the integral from 1 to 4 of sqrt(5-x) ?
The integral from 1 to 4 of sqrt(5-x) is 14/3