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Integration by Parts

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Question

If in the product of two functions, one of the function is not directly integrable $(e . g . log (x |, {sin}^{- 1} x, etc .)$ , then we take it as a first function under ILATE.

False

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True

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Solution

The correct option is B True

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Similar questions

(e . g . log (x |, {sin}^{- 1} x, etc .)

f : A \to B

y = f (x)

g : B \to A

f (x) = y

g (y) = x \forall x ϵ A, y ϵ B

g = f^{- 1} : B \to A [{f (x), x} : {x, f (x)} ϵ f^{- 1}]

2 x^{2} - log x

x

f (x) = log (x - 2) + log (x - 3)

g (x) = log (x - 2) (x - 3)

f (x) = g (x)

f (x)

g (x)

A

B

f (x) = g (x) \forall x \in A

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