

Question 04 (b) 

Evaluate the integral

Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? 
If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! 
Hint 

The substitution u = x^{2} almost works... 
Checking a solution serves two purposes: helping you if, after having used the hint, you still are stuck on the problem; or if you have solved the problem and would like to check your work.

Solution 

For the change of variable u = 1 + x^{2}, we have
So To write the remaining x^{2} in terms of u, we note that since u = 1 + x^{2} we have x^{2} = u − 1. Thus Is there a typo? Is this solution unclear? Let us know here, visit the discussion or suggest an alternative solution.

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