Mister Exam

Lang:

Integral of -3/8 dy

You have entered [src]

    ___       
  \/ y        
    /         
   |          
   |   -3/8 dy
   |          
  /           
   ___        
-\/ y

$$\int\limits_{- \sqrt{y}}^{\sqrt{y}} \left(- \frac{3}{8}\right)\, dy$$

Integral(-3/8, (y, -sqrt(y), sqrt(y)))

Detail solution

The integral of a constant is the constant times the variable of integration:

$\int \left(- \frac{3}{8}\right)\, dy = - \frac{3 y}{8}$
Add the constant of integration:

$- \frac{3 y}{8}+ \mathrm{constant}$

The answer is:

$- \frac{3 y}{8}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                 
 |               3*y
 | -3/8 dy = C - ---
 |                8 
/

$$\int \left(- \frac{3}{8}\right)\, dy = C - \frac{3 y}{8}$$

Simplify

The answer [src]

     ___
-3*\/ y 
--------
   4

$$- \frac{3 \sqrt{y}}{4}$$

     ___
-3*\/ y 
--------
   4

$$- \frac{3 \sqrt{y}}{4}$$

-3*sqrt(y)/4

Use the examples entering the upper and lower limits of integration.