Question icon
Grade 12th passIntegral Calculus

What is the integration of:
ax+b (ax^2+b)^1/2 dx ?
The answer is 1/3(ax^2 + b)^3/2 + (b/2)x (ax^2+b)^1/2 + b^2/2a^1/2 log a^1/2 x + (ax^2 + b)^1/2 + c

Profile image of Nishi Kaur
6 Years agoGrade 12th pass
Answers icon

1 Answer

Profile image of Arun
6 Years ago
Dear student
 
its Integration can be achieved by formula directly.
 
1/3(ax^2  + b)^3/2 + (b/2)x (ax^2+b)^1/2 + b^2/2a^1/2 log a^1/2  x + (ax^2  + b)^1/2