Answer to question 4.1.20

This is a simple question. We must first make the coefficient of x^2 to 1 and then integrate using the standard formula :

So, Let us first take 10 common from the denominator to make the coefficient of x as 1 :

Now, let's use the standard formula to integrate. We have u=x and a=squareroot(7/10). Putting these values in the standard formula given above will yield this :

After further simplification by dividing root(10) by 10 and taking common denominator inside log, we obtain the answer as :

Please note that I use log instead of ln so in this blog, log means natural log.