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3/cos^2xdx

Integral of 3/cos^2x dx

The solution

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  0           
  /           
 |            
 |     3      
 |  ------- dx
 |     2      
 |  cos (x)   
 |            
/             
pi

$$\int\limits_{\pi}^{0} \frac{3}{\cos^{2}{\left(x \right)}}\, dx$$

Integral(3/cos(x)^2, (x, pi, 0))

Detail solution

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

$\int \frac{3}{\cos^{2}{\left(x \right)}}\, dx = 3 \int \frac{1}{\cos^{2}{\left(x \right)}}\, dx$
1. Don't know the steps in finding this integral.
  
  But the integral is
  
  $\frac{\sin{\left(x \right)}}{\cos{\left(x \right)}}$
So, the result is: $\frac{3 \sin{\left(x \right)}}{\cos{\left(x \right)}}$
Now simplify:

$3 \tan{\left(x \right)}$
Add the constant of integration:

$3 \tan{\left(x \right)}+ \mathrm{constant}$

The answer is:

$3 \tan{\left(x \right)}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                         
 |                          
 |    3             3*sin(x)
 | ------- dx = C + --------
 |    2              cos(x) 
 | cos (x)                  
 |                          
/

$$\int \frac{3}{\cos^{2}{\left(x \right)}}\, dx = C + \frac{3 \sin{\left(x \right)}}{\cos{\left(x \right)}}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

-oo

$$-\infty$$

-oo

$$-\infty$$

-oo

Numerical answer [src]

-3.08474538155669e+31

-3.08474538155669e+31

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

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Identical expressions

Integral of 3/cos^2x dx

Limits of integration:

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Piecewise:

The solution