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Question

18. sec x (sec x + tan x) a

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Solution

The integral is,

y= secx( secx+tanx ) dx

Here, y is the solution of integral.

Use the formulas of sec 2 xdx=tanx +Aand secx tanxdx=secx+E, where A and E are constants.

y= secx( secx+tanx ) dx = ( sec 2 x+secxtanx ) dx = sec 2 xdx+ ( secxtanx ) dx =tanx+secx+D

Here, D is constant.

Thus, the solution of integral is tanx+secx+D.


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