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Integral of tan^2(5x)
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Identical expressions
tan^ two (5x)
tangent of squared (5x)
tangent of to the power of two (5x)
tan2(5x)
tan25x
tan²(5x)
tan to the power of 2(5x)
tan^25x
tan^2(5x)dx

Solving integrals/ tan^2(5x)

Integral of tan^2(5x) dx

The solution

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  1             
  /             
 |              
 |     2        
 |  tan (5*x) dx
 |              
/               
0

$$\int\limits_{0}^{1} \tan^{2}{\left(5 x \right)}\, dx$$

Integral(tan(5*x)^2, (x, 0, 1))

Detail solution

Rewrite the integrand:

$\tan^{2}{\left(5 x \right)} = \sec^{2}{\left(5 x \right)} - 1$
Integrate term-by-term:
1. Don't know the steps in finding this integral.
  
  But the integral is
  
  $\frac{\sin{\left(5 x \right)}}{5 \cos{\left(5 x \right)}}$
1. The integral of a constant is the constant times the variable of integration:
  
  $\int \left(-1\right)\, dx = - x$
The result is: $- x + \frac{\sin{\left(5 x \right)}}{5 \cos{\left(5 x \right)}}$
Now simplify:

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

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

The answer is:

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

The answer (Indefinite) [src]

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

$${{\tan \left(5\,x\right)-5\,x}\over{5}}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

oo

$${{\tan 5-5}\over{5}}$$

oo

$$\infty$$

Упростить

Numerical answer [src]

241.799578144155

241.799578144155

The graph

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

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Identical expressions

Integral of tan^2(5x) dx

Limits of integration:

The graph:

Piecewise:

The solution