Answer (Detailed Solution Below)

Option 3 :
Free
ST 1: UPSC ESE (IES) Civil - Building Materials
20 Qs. 40 Marks 24 Mins

Detailed Solution

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Concept:

The product of function can be integrated by the method of "Integration by parts".

By the method of integration by parts we have,

Where f is the first function and g is the second function.

Which is chosen based on the order for the selection of the first function: ILATE (Inverse, Logarithmic, Algebraic, Trigonometric, Exponent)

Calculation:

From the above formula,

⇒ 

⇒ 

Hence,  = 

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