Mister Exam

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Integral of d{x}:
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Identical expressions
5dx/sin^ two *x
5dx divide by sinus of squared multiply by x
5dx divide by sinus of to the power of two multiply by x
5dx/sin2*x
5dx/sin²*x
5dx/sin to the power of 2*x
5dx/sin^2x
5dx/sin2x
5dx divide by sin^2*x

Integral of 5dx/sin^2*x dx

The solution

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  0           
  /           
 |            
 |     5      
 |  ------- dx
 |     2      
 |  sin (x)   
 |            
/             
0

$$\int\limits_{0}^{0} \frac{5}{\sin^{2}{\left(x \right)}}\, dx$$

Integral(5/sin(x)^2, (x, 0, 0))

Detail solution

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

$\int \frac{5}{\sin^{2}{\left(x \right)}}\, dx = 5 \int \frac{1}{\sin^{2}{\left(x \right)}}\, dx$
1. Don't know the steps in finding this integral.
  
  But the integral is
  
  $- \frac{\cos{\left(x \right)}}{\sin{\left(x \right)}}$
So, the result is: $- \frac{5 \cos{\left(x \right)}}{\sin{\left(x \right)}}$
Now simplify:

$- \frac{5}{\tan{\left(x \right)}}$
Add the constant of integration:

$- \frac{5}{\tan{\left(x \right)}}+ \mathrm{constant}$

The answer is:

$- \frac{5}{\tan{\left(x \right)}}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                         
 |                          
 |    5             5*cos(x)
 | ------- dx = C - --------
 |    2              sin(x) 
 | sin (x)                  
 |                          
/

$$\int \frac{5}{\sin^{2}{\left(x \right)}}\, dx = C - \frac{5 \cos{\left(x \right)}}{\sin{\left(x \right)}}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

$$0$$

Numerical answer [src]

0.0

0.0

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

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Identical expressions

Integral of 5dx/sin^2*x dx

Limits of integration:

The graph:

Piecewise:

The solution