Mathematics

The general solution of the differential equation $$ydx+(2\sqrt{xy}-x)dy=0$$ is?


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Subjective Medium Published on 17th 09, 2020
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Q1 Single Correct Medium
If $$\displaystyle \int f(x)dx =2\{f(x)\}^{3}+c {\it}$$,  and $$f(x) \neq 0$$   then $$f(x)$$ is
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Q3 Single Correct Hard
The value of $$\int_{0}^{1}{\dfrac{(x^{6}-x^{3})}{(2x^{3}+1)^{3}}dx}$$ is equal to :
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Q5 Single Correct Hard
Evaluate $$\displaystyle\int_{\displaystyle\sqrt{\frac{(3a^2+b^2)}{4}}}^{\displaystyle\sqrt{\frac{(a^2+b^2)}{2}}}{\frac{x}{\sqrt{(x^2-a^2)(b^2-x^2)}}dx}$$.
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