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Question

What is dxx2a2 equal to?
where c is the constant of integration.

A
lnx+x2+a2a+c
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B
lnxx2+a2a+c
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C
lnx2+x2+a2a+c
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D
None of the above
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Solution

The correct option is D None of the above
Let I=dxx2a2
Also, let x=asecθdx=asecθtanθdθ

I=asecθtanθdθa2(sec2θ1)

I=asecθtanθdθa2tan2θ

I=asecθtanθdθatanθ

I=secθdθ

I=ln|secx+tanx|+c

I=lna+x2a2a+c

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