What is the integral of 375-25sqrt(15x) ?

The integral of 375-25sqrt(15x) is 375x-(50sqrt(5))/(sqrt(3))x^{3/2}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 375-25sqrt(15x)

\int 375 - 25 15 x d x

375 x - \frac{50 5}{3} x^{\frac{3}{2}} + C

Solution steps

\int 375 - 25 15 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 375 d x - \int 25 15 x d x

\int 375 d x = 375 x

\int 25 15 x d x = \frac{50 5}{3} x^{\frac{3}{2}}

= 375 x - \frac{50 5}{3} x^{\frac{3}{2}}

Add a constant to the solution

= 375 x - \frac{50 5}{3} x^{\frac{3}{2}} + C

cos (x)

\int 3 x^{2} cos (7 x) d x

\int 9 x d x

\int_{0}^{20} 2^{\frac{t}{10}} d t

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

What is the integral of 375-25sqrt(15x) ?
The integral of 375-25sqrt(15x) is 375x-(50sqrt(5))/(sqrt(3))x^{3/2}+C