Mister Exam

Other calculators

x(tanx)^2
Solving integrals/ x(tanx)^2

Integral of x(tanx)^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1             
  /             
 |              
 |       2      
 |  x*tan (x) dx
 |              
/               
0
∫01xtan⁡2(x) dx\int\limits_{0}^{1} x \tan^{2}{\left(x \right)}\, dx 
Integral(x*tan(x)^2, (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                   
 |                     2      /       2   \           
 |      2             x    log\1 + tan (x)/           
 | x*tan (x) dx = C - -- - ---------------- + x*tan(x)
 |                    2           2                   
/
∫xtan⁡2(x) dx=C−x22+xtan⁡(x)−log⁡(tan⁡2(x)+1)2\int x \tan^{2}{\left(x \right)}\, dx = C - \frac{x^{2}}{2} + x \tan{\left(x \right)} - \frac{\log{\left(\tan^{2}{\left(x \right)} + 1 \right)}}{2}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.900.02.5
Plot the graph f(x)
The answer [src] 
         /       2   \         
  1   log\1 + tan (1)/         
- - - ---------------- + tan(1)
  2          2
−log⁡(1+tan⁡2(1))2−12+tan⁡(1)- \frac{\log{\left(1 + \tan^{2}{\left(1 \right)} \right)}}{2} - \frac{1}{2} + \tan{\left(1 \right)} 
=
= 
         /       2   \         
  1   log\1 + tan (1)/         
- - - ---------------- + tan(1)
  2          2
−log⁡(1+tan⁡2(1))2−12+tan⁡(1)- \frac{\log{\left(1 + \tan^{2}{\left(1 \right)} \right)}}{2} - \frac{1}{2} + \tan{\left(1 \right)} 
-1/2 - log(1 + tan(1)^2)/2 + tan(1)
Numerical answer [src] 
0.441781254268888
0.441781254268888
The graph
Integral of x(tanx)^2 dx

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

    © Mister Exam – Calculator