Let ∫(1+x4)dx(1−x4)3/2=f(x)+C1 with f(0)=0 and ∫f(x)dx=g(x)+C2 w – InterviewSolution

1.	Let ∫(1+x4)dx(1−x4)3/2=f(x)+C1 with f(0)=0 and ∫f(x)dx=g(x)+C2 with g(0)=0. If g(1√2)=πk, then the value of k is
Answer» Let $\int \frac{(1 + x^{4}) d x}{(1 - x^{4})^{3 / 2}} = f (x) + C_{1}$ with $f (0) = 0$ and $\int f (x) d x = g (x) + C_{2}$ with $g (0) = 0.$ If $g (\frac{1}{\sqrt{2}}) = \frac{π}{k},$ then the value of $k$ 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.