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sinx*tanx
Solving integrals/ sinx*tanx

Integral of sinx*tanx dx

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The solution

You have entered [src] 
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 |  sin(x)*tan(x) dx
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∫01sin⁡(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        
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∫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
0.001.000.100.200.300.400.500.600.700.800.9002
Plot the graph f(x)
The answer [src] 
log(1 + sin(1))            log(1 - sin(1))
--------------- - sin(1) - ---------------
       2                          2
−sin⁡(1)+log⁡(sin⁡(1)+1)2−log⁡(1−sin⁡(1))2- \sin{\left(1 \right)} + \frac{\log{\left(\sin{\left(1 \right)} + 1 \right)}}{2} - \frac{\log{\left(1 - \sin{\left(1 \right)} \right)}}{2} 
=
= 
log(1 + sin(1))            log(1 - sin(1))
--------------- - sin(1) - ---------------
       2                          2
−sin⁡(1)+log⁡(sin⁡(1)+1)2−log⁡(1−sin⁡(1))2- \sin{\left(1 \right)} + \frac{\log{\left(\sin{\left(1 \right)} + 1 \right)}}{2} - \frac{\log{\left(1 - \sin{\left(1 \right)} \right)}}{2} 
log(1 + sin(1))/2 - sin(1) - log(1 - sin(1))/2
Numerical answer [src] 
0.384720186075621
0.384720186075621
The graph
Integral of sinx*tanx dx

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

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