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(tg^6*(7x))/(cos^2*(7x))

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  • Integral of d{x}:
  • Integral of 5^x Integral of 5^x
  • Integral of (log(x))/x
  • Integral of ln(x)/x^3
  • Integral of sinx/x Integral of sinx/x

  • Identical expressions

  • (tg^ six *(7x))/(cos^ two *(7x))
  • (tg to the power of 6 multiply by (7x)) divide by ( co sinus of e of squared multiply by (7x))
  • (tg to the power of six multiply by (7x)) divide by ( co sinus of e of to the power of two multiply by (7x))
  • (tg6*(7x))/(cos2*(7x))
  • tg6*7x/cos2*7x
  • (tg⁶*(7x))/(cos²*(7x))
  • (tg to the power of 6*(7x))/(cos to the power of 2*(7x))
  • (tg^6(7x))/(cos^2(7x))
  • (tg6(7x))/(cos2(7x))
  • tg67x/cos27x
  • tg^67x/cos^27x
  • (tg^6*(7x)) divide by (cos^2*(7x))
  • (tg^6*(7x))/(cos^2*(7x))dx
Solving integrals/ (tg^6*(7x))/(cos^2*(7x))

Integral of (tg^6*(7x))/(cos^2*(7x)) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1             
  /             
 |              
 |     6        
 |  tan (7*x)   
 |  --------- dx
 |     2        
 |  cos (7*x)   
 |              
/               
0
$$\int\limits_{0}^{1} \frac{\tan^{6}{\left(7 x \right)}}{\cos^{2}{\left(7 x \right)}}\, dx$$ 
Integral(tan(7*x)^6/cos(7*x)^2, (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                                           
 |                                                                            
 |    6                                                                       
 | tan (7*x)           3*sin(7*x)      sin(7*x)      sin(7*x)      3*sin(7*x) 
 | --------- dx = C - ------------ - ----------- + ------------ + ------------
 |    2                     5        49*cos(7*x)         7              3     
 | cos (7*x)          49*cos (7*x)                 49*cos (7*x)   49*cos (7*x)
 |                                                                            
/
$$\int \frac{\tan^{6}{\left(7 x \right)}}{\cos^{2}{\left(7 x \right)}}\, dx = C - \frac{\sin{\left(7 x \right)}}{49 \cos{\left(7 x \right)}} + \frac{3 \sin{\left(7 x \right)}}{49 \cos^{3}{\left(7 x \right)}} - \frac{3 \sin{\left(7 x \right)}}{49 \cos^{5}{\left(7 x \right)}} + \frac{\sin{\left(7 x \right)}}{49 \cos^{7}{\left(7 x \right)}}$$
Simplify
The graph
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Numerical answer [src] 
160667999643.228
160667999643.228
The graph
Integral of (tg^6*(7x))/(cos^2*(7x)) dx

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

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