The simplified value of 

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

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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:

We have, I = 

By using the above concept,

I = 

or, I = 

or, I = 

or, I = 

After solving it,

I = 

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