Mathematics

Question: The area bounded by the curve \(|x| + |y| = 1\) is: वक्र \(|x| + |y| = 1\) से

Question: What is \(\int_a^b [x]\,dx + \int_a^b [-x]\,dx\) equal to, where \([.]\) is the greatest integer function? \(\int_a^b [x]\,dx +

Question: What is the length of the longest interval in which the function \(f(x) = 3\sin x – 4\sin^3 x\)

Question: What is \(\int \frac{x^{e-1} + e^{x-1}}{x^e + e^x}\,dx\) equal to? \(\int \frac{x^{e-1} + e^{x-1}}{x^e + e^x}\,dx\) किसके बराबर है?

Question: What is \(\lim_{h \to 0} \frac{\sqrt{2x+3h} – \sqrt{2x}}{2h}\) equal to? \(\lim_{h \to 0} \frac{\sqrt{2x+3h} – \sqrt{2x}}{2h}\) किसके बराबर है?

Question: If \(y = e^{x^2}\sin 2x\), then what is \(\frac{dy}{dx}\) at \(x = \pi\) equal to? यदि \(y = e^{x^2}\sin

Question: What is \(\lim_{x \to 0} \frac{\tan x}{\sin 2x}\) equal to? \(\lim_{x \to 0} \frac{\tan x}{\sin 2x}\) किसके बराबर है?

Question: The angles of elevation of the top of a tower standing on a horizontal plane from two points on

Question: What is the derivative of \(\sec^2(\tan^{-1} x)\) with respect to \(x\)? \(x\) के सापेक्ष \(\sec^2(\tan^{-1} x)\) का अवकलज (derivative)

Question: A lamp post stands on a horizontal plane. From a point situated at a distance of 150m from its