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xdx/cos^2(x^2)

Integral of xdx/cos^2(x^2) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

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 |     x       
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 |     2/ 2\   
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01xcos2(x2)dx\int\limits_{0}^{1} \frac{x}{\cos^{2}{\left(x^{2} \right)}}\, dx
Integral(x/cos(x^2)^2, (x, 0, 1))
The answer (Indefinite) [src]
                           / 2\   
  /                        |x |   
 |                      tan|--|   
 |    x                    \2 /   
 | -------- dx = C - -------------
 |    2/ 2\                   / 2\
 | cos \x /                  2|x |
 |                   -1 + tan |--|
/                             \2 /
xcos2(x2)dx=Ctan(x22)tan2(x22)1\int \frac{x}{\cos^{2}{\left(x^{2} \right)}}\, dx = C - \frac{\tan{\left(\frac{x^{2}}{2} \right)}}{\tan^{2}{\left(\frac{x^{2}}{2} \right)} - 1}
The graph
0.001.000.100.200.300.400.500.600.700.800.9005
Numerical answer [src]
0.778703862327451
0.778703862327451
The graph
Integral of xdx/cos^2(x^2) dx

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