Let ∫f′(x)g(x)−g′(x)f(x)(f(x)+g(x))√f(x)g(x)−(g(x))2dx=√ – InterviewSolution

1.	Let ∫f′(x)g(x)−g′(x)f(x)(f(x)+g(x))√f(x)g(x)−(g(x))2dx=√mtan−1(√f(x)−g(x)ng(x))+C, where m,n∈N, C is constant of integration and g(x)>0.. Then the value of (m2+n2) is
Answer» Let $\int \frac{f^{'} (x) g (x) - g^{'} (x) f (x)}{(f (x) + g (x)) \sqrt{f (x) g (x) - (g (x))^{2}}} d x = \sqrt{m} {tan}^{- 1} (\sqrt{\frac{f (x) - g (x)}{n g (x)}}) + C,$ where $m, n \in N,$ $C$ is constant of integration and $g (x) > 0.$ . Then the value of $(m^{2} + n^{2})$ is

Discussion

No Comment Found

Related InterviewSolutions

The number of ways of choosing 2 cards from a pack of 52 where atleast one face card is choosen
Let P(3,3) be a point on the hyperbola, x2a2−y2b2=1. If the normal to it at P intersects the x−axis at (9,0) and e is its eccentricity, then the ordered pair (a2,e2) is equal to
P speaks truth in 75% cases while Q in 90%.in what % r they likely to contradict each other in stating the same fact .? Do u think B is true Do
If f(x) has the second order derivative at x = c such that f '(c) = 0 and f ''(c) > 0, then c is a point of _______________.
An A.P. consists of 43 terms, if the sum of five middle-most terms is 195, then the sum of the A.P. is
Find the angle between two vectors a and b with magnitudes √3 and 2 respectively, having a.b=√6
If y={x}[x], then 3∫0y dx is equal to,where {.} and [.] are fractional part function and greatest integer function respectively.
The graph of f(x)=−|log(x−3)|+3 will be
1∫0ex⋅x(1+x)2dx is equal to
What is a set and list all formulas of set.