Let f(x) be a continuous and differentiable function for all x∈(0,π – InterviewSolution

InterviewSolution

1.	Let f(x) be a continuous and differentiable function for all x∈(0,π2), such that (f(x))2=∫x0f(t)⋅2sec2t4+tantdt,f(x)≠0,f(π3)=ln(4+√3). Then which of the following is/are correct
Answer» Let $f (x)$ be a continuous and differentiable function for all $x \in (0, \frac{π}{2})$ , such that $(f (x))^{2} = \int_{0}^{x} f (t) \cdot \frac{2 {sec}^{2} t}{4 + tan t} d t, f (x) \neq 0, f (\frac{π}{3}) = ln (4 + \sqrt{3}) .$ Then which of the following is/are correct

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.