Question

integration of (sinx.cosx)/(tan²x+log(x²)+5)
From -2 to 2

Answer 1

There is a property in definite integration which says that,

Integral -a to a f(x)

= 0 when f(-x) = -f(x)

=2 × integral 0 to a when f(-x) = f(x).

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Here, f(-x) = -f(x)

Because sin(-x) = -sinx.

So f(-x) will be -f(x).

So, the correct answer to this particular problem is 0.

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