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Integration of log tanx

For integration of log(tanx), we generally consider the definite integral over the interval from 0 to π/2 To calculate the definite integral of log(tanx) from (0) to π/2, we use a technique involving symmetry and the properties of logarithms. The integral is: π/20log(tanx)dx Let I=π/20log(tanx)dx

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integration of log cosx

For integration of log(cosx), we generally consider the definite integral over the interval from 0 to π/2 To calculate the definite integral of log(cosx) from (0) to π/2, we use a technique involving symmetry and the properties of logarithms. The integral is: π/20log(cosx)dx Let I=π/20log(cosx)dx

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integration of e^{ax} sin bx

The integral (eaxsin(bx)dx) is computed as: eaxsin(bx)dx=aeaxsin(bx)a2+b2beaxcos(bx)a2+b2+C Proof of Integration To solve the integral eaxsin(bx)dx, we can use the method of integration by parts, which is based on the formula: $$\int

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