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Solving integrals/ sqrt(128sinx+72cosx)

Integral of sqrt(128sinx+72cosx) dx

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src] 
 pi                              
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 2                               
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 |  \/ 128*sin(x) + 72*cos(x)  dx
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0
∫0π2128sin⁡(x)+72cos⁡(x) dx\int\limits_{0}^{\frac{\pi}{2}} \sqrt{128 \sin{\left(x \right)} + 72 \cos{\left(x \right)}}\, dx 
Integral(sqrt(128*sin(x) + 72*cos(x)), (x, 0, pi/2))
The answer (Indefinite) [src] 
  /                                              /                           
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 |   ________________________              ___  |   ______________________   
 | \/ 128*sin(x) + 72*cos(x)  dx = C + 2*\/ 2 * | \/ 9*cos(x) + 16*sin(x)  dx
 |                                              |                            
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∫128sin⁡(x)+72cos⁡(x) dx=C+22∫16sin⁡(x)+9cos⁡(x) dx\int \sqrt{128 \sin{\left(x \right)} + 72 \cos{\left(x \right)}}\, dx = C + 2 \sqrt{2} \int \sqrt{16 \sin{\left(x \right)} + 9 \cos{\left(x \right)}}\, dx
Simplify
Numerical answer [src] 
17.6569672973688
17.6569672973688

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

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