Question

integration of x\2

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Answer 1

$let \: \frac{x}{2} = t$

$\frac{1}{2} dx = dt$

given

$= integral( { \sec(t)) }^{2}(2 dt)$

$2tant + c$

$2 \tan( \frac{x}{2} ) + c$

Answer 2

There is X/2 in the place of X. so,simply apply the formula sec^2 x/2 = tan X/2 and add the constant behind answer.

Answer is tan X/2 + c.