$\begin{array}{l}y = \frac{{{x^4} – {x^2}}}{{{x^6} + 2{x^3} – 1}},x > 1\\{y_{\max }} = ?\end{array}$
Tag Archives: Calculus
$f(x)=\frac {\sqrt {1+\sin x}-\sqrt {1-\sin x}}{x}$
$\int\limits_0^{ – 2a} {f(x)dx} = ………$
If the system of equations 2x – y + z =0, x- 2y + z = 0 and ax – y + 2z = 0 has infinitely many solutions and f(x) is continuous function satisfying f(x)+f(x+5) = 2, then $\int\limits_0^{ – 2a} {f(x)dx}$ is equal to
a) 0
b) 5
c) a
d) –2a
Solution
Prove that $$\sqrt {n + 1} – \sqrt n < {1 \over {2N}}{\rm{ }}…….$$
Largest Value of Non-Negative Integer $$a$$
The largest value of the nonnegative integer a for which
is
[JEE Advanced 2014]
Continue reading Largest Value of Non-Negative Integer $$a$$
Tangents to Curve $$y = \int\limits_0^x {|t|dt}$$
The intercepts on x-axis made by tangents to the curve, 
, which are parallel to the line y = 2x, are equal to:
(1) 
(2) 
(3) 
(4) 
[JEE Main 2013]
Continue reading Tangents to Curve $$y = \int\limits_0^x {|t|dt}$$