Integral of -sqrt(y) dx

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  1          
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 |  -\/ y  dy
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$$\int\limits_{0}^{1} \left(- \sqrt{y}\right)\, dy$$

Integral(-sqrt(y), (y, 0, 1))

Detail solution

The integral of a constant times a function is the constant times the integral of the function:

$\int \left(- \sqrt{y}\right)\, dy = - \int \sqrt{y}\, dy$
1. The integral of $y^{n}$ is $\frac{y^{n + 1}}{n + 1}$ when $n \neq -1$ :
  
  $\int \sqrt{y}\, dy = \frac{2 y^{\frac{3}{2}}}{3}$
So, the result is: $- \frac{2 y^{\frac{3}{2}}}{3}$
Add the constant of integration:

$- \frac{2 y^{\frac{3}{2}}}{3}+ \mathrm{constant}$

The answer is:

$- \frac{2 y^{\frac{3}{2}}}{3}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                      
 |                    3/2
 |    ___          2*y   
 | -\/ y  dy = C - ------
 |                   3   
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$$\int \left(- \sqrt{y}\right)\, dy = C - \frac{2 y^{\frac{3}{2}}}{3}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

-2/3

$$- \frac{2}{3}$$

-2/3

$$- \frac{2}{3}$$

-2/3

Numerical answer [src]

-0.666666666666667

-0.666666666666667

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