What is the integral from 9 to 10 of xsqrt(x-9) ?

The integral from 9 to 10 of xsqrt(x-9) is 32/5

Popular >

integral from 9 to 10 of xsqrt(x-9)

\int_{9}^{10} x x - 9 d x

\frac{32}{5}

Decimal Notation

6.4

Solution steps

\int_{9}^{10} x x - 9 d x

Apply u-substitution

: \int_{0}^{1} (u + 9) u d u

= \int_{0}^{1} (u + 9) u d u

Expand

(u + 9) u : u^{\frac{3}{2}} + 9 u

= \int_{0}^{1} u^{\frac{3}{2}} + 9 u d u

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}^{1} u^{\frac{3}{2}} d u + \int_{0}^{1} 9 u d u

\int_{0}^{1} u^{\frac{3}{2}} d u = \frac{2}{5}

\int_{0}^{1} 9 u d u = 6

= \frac{2}{5} + 6

Simplify

\frac{2}{5} + 6 : \frac{32}{5}

= \frac{32}{5}

\int e^{x^{5}} d x

y = (2 x + 5)^{5} (4 x + 5)^{- 4}

\frac{d y}{d x} = \frac{x ^{6} - 4 y}{x}

\frac{d y}{d x} = 2 x (x - 2)

\frac{\partial}{\partial x} (\frac{1}{1 + e ^{- w^{T} x}})

What is the integral from 9 to 10 of xsqrt(x-9) ?
The integral from 9 to 10 of xsqrt(x-9) is 32/5