Mister Exam

Other calculators

Solving integrals/ -sinx*tanx

Integral of -sinx*tanx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                  
  /                  
 |                   
 |  -sin(x)*tan(x) dx
 |                   
/                    
0
∫01−sin⁡(x)tan⁡(x) dx\int\limits_{0}^{1} - \sin{\left(x \right)} \tan{\left(x \right)}\, dx 
Integral((-sin(x))*tan(x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                                   
 |                         log(-1 + sin(x))   log(1 + sin(x))         
 | -sin(x)*tan(x) dx = C + ---------------- - --------------- + sin(x)
 |                                2                  2                
/
∫−sin⁡(x)tan⁡(x) dx=C+log⁡(sin⁡(x)−1)2−log⁡(sin⁡(x)+1)2+sin⁡(x)\int - \sin{\left(x \right)} \tan{\left(x \right)}\, dx = C + \frac{\log{\left(\sin{\left(x \right)} - 1 \right)}}{2} - \frac{\log{\left(\sin{\left(x \right)} + 1 \right)}}{2} + \sin{\left(x \right)}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.901-2
Plot the graph f(x)
The answer [src] 
log(1 - sin(1))   log(1 + sin(1))         
--------------- - --------------- + sin(1)
       2                 2
log⁡(1−sin⁡(1))2−log⁡(sin⁡(1)+1)2+sin⁡(1)\frac{\log{\left(1 - \sin{\left(1 \right)} \right)}}{2} - \frac{\log{\left(\sin{\left(1 \right)} + 1 \right)}}{2} + \sin{\left(1 \right)} 
=
= 
log(1 - sin(1))   log(1 + sin(1))         
--------------- - --------------- + sin(1)
       2                 2
log⁡(1−sin⁡(1))2−log⁡(sin⁡(1)+1)2+sin⁡(1)\frac{\log{\left(1 - \sin{\left(1 \right)} \right)}}{2} - \frac{\log{\left(\sin{\left(1 \right)} + 1 \right)}}{2} + \sin{\left(1 \right)} 
log(1 - sin(1))/2 - log(1 + sin(1))/2 + sin(1)
Numerical answer [src] 
-0.384720186075621
-0.384720186075621

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

    © Mister Exam – Calculator