Manganese is required in

$\int e^x \left( \frac{1 + \sin x}{1 + \cos x} \right) dx = $ . . . . . . $+ C$.

In leaves of $C_4$ plants,malic acid synthesis during $CO_2$ fixation occurs in :-

Flux $\phi$ (in weber) in a closed circuit of resistance $10\,\Omega$ varies with time $t$ (in sec) according to the equation $\phi = 6t^2 - 5t + 1$. What is the magnitude of the induced current at $t = 0.25\,s$ (in $,A$)?

Which one of the following elements shows the maximum number of different oxidation states in its compounds?

Suppose there is a hole in a copper plate. On heating the plate,the diameter of the hole would: