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Question

Evaluate (x(tanx)+ln(secx))dx
(where C is constant of integration)

A
xln(secx)+C
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B
xln(secx)+C
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C
ln(secx)+C
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D
ln(secx)+C
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Solution

The correct option is A xln(secx)+C
Let I=(x(tanx)+ln(secx))dxClearly I is of the form :
(f(x)+xf(x))dx=xf(x)
We know, if f(x)=ln(secx) then f(x)=tanx
I=xln(secx)+C

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