Question: The general solution of the DE \(\dfrac{dy}{dx} = (\sqrt{1-x^2})(\sqrt{1-y^2})\) is अवकल समीकरण \(\dfrac{dy}{dx} = (\sqrt{1-x^2})(\sqrt{1-y^2})\) का व्यापक हल क्या
Question: Consider the curves y = |x − 1| and |x| = 2. What is the area of the region
Question: Let \(f(x) = Pe^x + Qe^{2x} + Re^{3x}\), where P, Q and R are real numbers. Further \(f(0) =
Question: The value of \(\int_0^{\pi/2} \cos x\, e^{\sin x}\,dx\) is \(\int_0^{\pi/2} \cos x\, e^{\sin x}\,dx\) का मान क्या है? Options:
Question: What is \(\int_0^{\pi} e^x \sin x\,dx\) equal to? \(\int_0^{\pi} e^x \sin x\,dx\) किसके बराबर है? Options: \(\dfrac{e^\pi + 1}{4}\)
Question: \(\int \dfrac{x\tan^{-1} x}{(1-x^2)^{3/2}}\,dx = ?\) \(\int \dfrac{x\tan^{-1} x}{(1-x^2)^{3/2}}\,dx\) किसके बराबर है? Options: \(\dfrac{x\tan^{-1} x}{\sqrt{1+x^2}} + \dfrac{1}{2}\log\left|\dfrac{x}{\sqrt{1+x^2}}\right| + C\) \(\dfrac{\tan^{-1}
Question: The value of \(\int \dfrac{1}{x + x\log x}\,dx\) is \(\int \dfrac{1}{x + x\log x}\,dx\) का मान क्या है? Options:
Question: \(\int \dfrac{1}{7 + 5\cos x}\,dx =\) \(\int \dfrac{1}{7 + 5\cos x}\,dx\) का मान क्या है? Options: \(\dfrac{1}{7}\tan^{-1}\left(\tan\dfrac{x}{2}\right) + c\)
Question: The function \(f(x) = kx – \sin x\) is strictly increasing for फलन \(f(x) = kx – \sin x\)
Question: The maximum value of \(x^{\frac{1}{x}}\), x > 0 is \(x > 0\) के लिए \(x^{\frac{1}{x}}\) का महत्तम मान क्या