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  • Identical expressions

  • ((tg7x)^ four)/(cos7x)^ two
  • ((tg7x) to the power of 4) divide by ( co sinus of e of 7x) squared
  • ((tg7x) to the power of four) divide by ( co sinus of e of 7x) to the power of two
  • ((tg7x)4)/(cos7x)2
  • tg7x4/cos7x2
  • ((tg7x)⁴)/(cos7x)²
  • ((tg7x) to the power of 4)/(cos7x) to the power of 2
  • tg7x^4/cos7x^2
  • ((tg7x)^4) divide by (cos7x)^2
  • ((tg7x)^4)/(cos7x)^2dx
Solving integrals/ ((tg7x)^4)/(cos7x)^2

Integral of ((tg7x)^4)/(cos7x)^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1             
  /             
 |              
 |     4        
 |  tan (7*x)   
 |  --------- dx
 |     2        
 |  cos (7*x)   
 |              
/               
0
$$\int\limits_{0}^{1} \frac{\tan^{4}{\left(7 x \right)}}{\cos^{2}{\left(7 x \right)}}\, dx$$ 
Integral(tan(7*x)^4/cos(7*x)^2, (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                            
 |                                                             
 |    4                                                        
 | tan (7*x)           2*sin(7*x)      sin(7*x)      sin(7*x)  
 | --------- dx = C - ------------ + ----------- + ------------
 |    2                     3        35*cos(7*x)         5     
 | cos (7*x)          35*cos (7*x)                 35*cos (7*x)
 |                                                             
/
$$\int \frac{\tan^{4}{\left(7 x \right)}}{\cos^{2}{\left(7 x \right)}}\, dx = C + \frac{\sin{\left(7 x \right)}}{35 \cos{\left(7 x \right)}} - \frac{2 \sin{\left(7 x \right)}}{35 \cos^{3}{\left(7 x \right)}} + \frac{\sin{\left(7 x \right)}}{35 \cos^{5}{\left(7 x \right)}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
  1             
  /             
 |              
 |     4        
 |  tan (7*x)   
 |  --------- dx
 |     2        
 |  cos (7*x)   
 |              
/               
0
$$\int\limits_{0}^{1} \frac{\tan^{4}{\left(7 x \right)}}{\cos^{2}{\left(7 x \right)}}\, dx$$ 
=
= 
  1             
  /             
 |              
 |     4        
 |  tan (7*x)   
 |  --------- dx
 |     2        
 |  cos (7*x)   
 |              
/               
0
$$\int\limits_{0}^{1} \frac{\tan^{4}{\left(7 x \right)}}{\cos^{2}{\left(7 x \right)}}\, dx$$ 
Integral(tan(7*x)^4/cos(7*x)^2, (x, 0, 1))
Numerical answer [src] 
87995458.3854997
87995458.3854997

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

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