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UCB - MCD4490 Advanced Mathematics - Trimester 1 - 2025

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By using a suitable substitution,   can be written as

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is equal to

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By using partial fractions,  can be written as

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is equal to

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By using a suitable substitution, can be written as

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Most suitable substitution to find is

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is equal to

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The region enclosed by the

graph of 

, the x

-axis and

the vertical line through the point

 is rotated about the x

-axis to form a solid of revolution.

The volume of this solid of revolution is given in cubic units by

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