Chapter-wise Solutions

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This blog contains solutions to unsolved problems on the book. Some questions have complete solutions and explanations and some easier questions have hints to solve the problem. I assume that you've gone through the worked out problems and theory given in the book first. Feel free to leave a comment if you have any doubt or if you found a problem not done right.
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Friday 26 August 2016

Answer to Question 4.1.18

The denominator of this question needs to be transformed in the form (x+m)^2 + n (this form will be inside the square root) (please see question 4.1.15 here to know how you can find the values of m and n) and then we can use the standard integration formula :


After choosing values of m and n, the transformed equation looks like this :

Now we can use the standard integration formula. We have u=(x+3) and a = squareroot(8). This yields the answer :

NOTE : I use log instead of ln most of the time. So when I use log, consider it as ln(i.e natural log of base e).
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