maths_mocktest1_12

Question

A. 1

B. 2

C. 3

D. 4

Comments

put y= √3 tanϴ and then the problem reduces to the integration of secϴ and afterwards everything is simple.

---

After that things aren't simple :P

---

I did the integration but it was lengthy  -- that is why I did not put it here.

Answer 1

f(x)= x.g(x)
find f'(x) which is g(x) + x*g'(x)

d/dx {integral 'a' to 'b' Z(x)dx}= Z(a)* d/dx(a)- Z(b)*d/dx(b)
where a and b are upper and lower limit respectively..

g'(x) is nothing but f(x^2)* d/dx(x^2)- f(1)*d/dx(1)..

Answer 2

I'm getting $2 \sqrt{5}$ . What's the correct answer?