What is the integral from 9 to 16 of (-x^{-1/2}+5) ?

The integral from 9 to 16 of (-x^{-1/2}+5) is 33

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 9 to 16 of (-x^{-1/2}+5)

\int_{9}^{16} (- x^{- \frac{1}{2}} + 5) d x

33

Solution steps

\int_{9}^{16} - x^{- \frac{1}{2}} + 5 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_{9}^{16} x^{- \frac{1}{2}} d x + \int_{9}^{16} 5 d x

\int_{9}^{16} x^{- \frac{1}{2}} d x = 2

\int_{9}^{16} 5 d x = 35

= - 2 + 35

Simplify

= 33

\int_{x}^{1} x y d y

\int_{0}^{y^{2} - 9 x^{2}} z d z

\int_{1}^{4} \frac{1}{7 x} d x

\int_{π}^{- π} sin (x) d x

\int_{- π}^{π} cos (x) cos (x) d x

What is the integral from 9 to 16 of (-x^{-1/2}+5) ?
The integral from 9 to 16 of (-x^{-1/2}+5) is 33