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Solving integrals/ 1/sinx+sqrt^3x

Integral of 1/sinx+sqrt^3x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                       
  /                       
 |                        
 |  /                3\   
 |  |    1        ___ |   
 |  |1*------ + \/ x  | dx
 |  \  sin(x)         /   
 |                        
/                         
0
∫01((x)3+1⋅1sin⁡(x)) dx\int\limits_{0}^{1} \left(\left(\sqrt{x}\right)^{3} + 1 \cdot \frac{1}{\sin{\left(x \right)}}\right)\, dx
Simplify
The answer (Indefinite) [src] 
  /                                                                        
 |                                                                         
 | /                3\                                                  5/2
 | |    1        ___ |          log(-1 + cos(x))   log(1 + cos(x))   2*x   
 | |1*------ + \/ x  | dx = C + ---------------- - --------------- + ------
 | \  sin(x)         /                 2                  2            5   
 |                                                                         
/
−log⁡(cos⁡x+1)2+log⁡(cos⁡x−1)2+2 x525-{{\log \left(\cos x+1\right)}\over{2}}+{{\log \left(\cos x-1 \right)}\over{2}}+{{2\,x^{{{5}\over{2}}}}\over{5}}
Simplify
The answer [src] 
     pi*I
oo + ----
      2
%a{\it \%a} 
=
= 
     pi*I
oo + ----
      2
∞+iπ2\infty + \frac{i \pi}{2}
Simplify
Numerical answer [src] 
44.5790108686112
44.5790108686112

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

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