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Integral of 1/(cos^xsin^x) dx

Limits of integration:

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Piecewise:

The solution

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 |        1          
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 |            / x\   
 |            \x /   
 |  (cos(sin))       
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$$\int\limits_{0}^{1} \frac{1}{\cos^{x^{x}}{\left(\sin \right)}}\, dx$$
Integral(1/(cos(sin)^(x^x)), (x, 0, 1))

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