Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Evaluate 
dx
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Sol. We have,
I = 
dx
= 
x –11 (1+ x 4 ) –1/2 dx
Here, m = –11, n = 4 and p = – 
We have,
+ p = 
+ 
= 
– 
= –3, which is an integer.
Denominator of p is s = 2. So, we substitute ax –n + b = t s
i.e. x –4 + 1 = t 2 and –4x –5 dx = 2t dt.
∴ I = 
x –11 {x –4 (x –4 + 1)] –1/2 dx
= 
x –9 (x –4 +1) –1/2 dx
= 
x –9 (t 2 ) –1 . 
dt
= – 
x –4 t –1 dt
= – 
dt
= – 
dt
= – 
+ C
= 
+ 
log t + C
= 
+ 
log 
+ C
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