CBSE Class 12 Math 2008 Solved Paper - Question 6 | ExamSiri

CBSE Class 12 Math 2008 Solved Paper

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Question : 6 of 29

Marks: +1, -0

Evaluate: ∫

x^2/{1+x^3}

dx

Solution:

∫

x^2/{1+x^3}

dx
Let 1 +

x^3

= t
⇒ 0 +

3x^2dx

= dt
⇒

x^2dx

=

{dt}/3

∴ ∫

(x^2/{1+x^3})

dx = ∫

{{dt}/3}/t

=

1/3 ∫ {dt}/t

=

1/3

log |t| + c
=

1/3

log

|1+x^3|

+ c

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