Let \( f \) be a differentiable function satisfying the condition \( f\left(\frac{x}{y}\right)=\.... VIDEO
Let \( f \) be a differentiable function satisfying the condition \( f\left(\frac{x}{y}\right)=\frac{f(x)}{f(y)}(y \neq 0, f(y) \neq 0) \forall x, y \in R \)https://bit.ly/YTAI_PWAP https://www.pw.live
Other Videos By PW Solutions 2024-01-21 If \( f^{\prime}(x)=\tan ^{-1}(\sec x+\tan x), x \in\left(-\frac{\pi}{2} \frac{\pi}{2}\right) \).... 2024-01-21 Let \( \int \frac{\cos x}{\sin ^{3} x\left(1+\sin ^{6} x\right)^{2 / 3}} d x=f(x)\left(1+\sin ^{.... 2024-01-21 Let \( f(x) \) be a polynomial satisfying \( f(0)=2, f^{\prime}(0) \)
\( =3 \) and \( f^{\prime .... 2024-01-21 If
\[
I=\int \frac{e^{\tan ^{-1} x}}{\left(1+x^{2}\right)}\left\{\left(\sec ^{-1} \sqrt{1+x^{2}}.... 2024-01-21 \( \int \frac{x^{2}(1-\ln x)}{(\ln x)^{4}-x^{4}} d x \) is equal to.... 2024-01-21 Let \( g(x) \) be a differentiable function satisfying
\( \frac{d}{d x}\{g(x)\}=g(x) \) and \( g.... 2024-01-21 Match the following:
\begin{tabular}{|l|l|c|c|}
\hline \multicolumn{3}{|c|}{ Column-I } & \multi.... 2024-01-21 The integral \( \int\left(1+x-\frac{1}{x}\right) e^{x+\frac{1}{x}} d x \) is equal to.... 2024-01-21 If \( f\left(\frac{3 x-4}{3 x+4}\right)=x+2 \), then \( \int f(x) d x \) is equal to.... 2024-01-21 Area of the region bounded by \( [x]^{2}=[y]^{2} \),
if \( x \in[1,5] \), where [ ] denotes the .... 2024-01-21 Let \( f \) be a differentiable function satisfying the condition \( f\left(\frac{x}{y}\right)=\.... 2024-01-21 \[
\int f(x) \sin x \cos x d x=\frac{1}{2\left(a^{2}-b^{2}\right)} \log |f(x)|+C,
\]
\( P \)
the.... 2024-01-21 Passage
For \( j=0,1,2, \ldots n \) let \( S_{j} \) be the area of region bounded by
the \( x \).... 2024-01-21 Passage
For \( j=0,1,2, \ldots n \) let \( S_{j} \) be the area of region bounded by the \( x \).... 2024-01-21 The axis divides the region bounded by the
parabolas \( y=4 x-x^{2} \) and \( y=x^{2}-x \) in th.... 2024-01-21 Area enclosed by the curves \( y=x^{2}+1 \) and a normal
drawn to it with gradient -1 ; is equal.... 2024-01-21 The area defined by \( |y| \leq e^{-|x|}-\frac{1}{2} \) in cartesian co-
ordinate system, is:.... 2024-01-21 If \( f(x)=\max \left\{\sin x, \cos x, \frac{1}{2}\right\} \) then the area of the
region bounde.... 2024-01-21 The area of the figure bounded by the curves \( y=\mid x- \)
\( 1 \mid \) and \( y=3-|x| \) is
W.... 2024-01-21 The triangle formed by the tangent to the curve \( f(x) \)
\( =x^{2}+b x-b \) at the point \( (1.... 2024-01-21 The area of region enclosed by the curves \( y=x^{2} \) and
\( y=\sqrt{|x|} \) is:....
0