Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Evaluate 
x 13/2 (1+ x 5/2 ) 1/2 dx
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Sol . Here, m = 
, n = 
and p = 
We have, 
= 
= 3, an integer.
So, we substitute 1 + x
5/2 = t 3 and 
x 3/2 dx = 3t 2 dt
∴ 
(1+ x 5/2 ) 1/2 dx
= 
. 
dt
= 
x 5 . t 7/2 dt
= 
(t 3 –1) 2 t 7/2 dt
= 
(t 6 –2t 3 + 1) t 7/2 dt
= 
(t 19/2 – 2t 13/2 + t 7/2 ) dt
= 
+ C
= 
(1+ x 5/2 ) 7/2 – 
(1 + x 5/2 ) 5/2 + 
(1+ x 5/2 ) 3/2 + C
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems