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askor
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Can someone please show me an example of integration using hyperbolic substitution?
Thank you
Thank you
I Integration Using Hyperbolic Substitution
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Integration using hyperbolic substitution can simplify certain integrals by transforming them into more manageable forms. A common example involves substituting variables in integrals that contain expressions like √(x² + a²) or √(x² - a²). The hyperbolic identities, such as sinh²(u) + 1 = cosh²(u), are often utilized in these substitutions. Online resources provide detailed examples and explanations for better understanding. For practical applications, refer to websites that specialize in mathematical substitutions and integration techniques.
Hello!
I tried to calculate projections of curl using rotation of coordinate system but I encountered with following problem.
Given:
##rot_xA=\frac{\partial A_z}{\partial y}-\frac{\partial A_y}{\partial z}=0##
##rot_yA=\frac{\partial A_x}{\partial z}-\frac{\partial A_z}{\partial x}=1##
##rot_zA=\frac{\partial A_y}{\partial x}-\frac{\partial A_x}{\partial y}=0##
I rotated ##yz##-plane of this coordinate system by an angle ##45## degrees about ##x##-axis and used rotation matrix to...
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