Solve: ∫[2x/(x^{4}+1)] dx

Let x^{2} = t and 2x dx = dt => ∫[dt/(t^{2}+1)] dt => tan^{-1}(t) + c => tan^{-1} x^{2} + c

In a 900 meter marathon, if Akhil beats Suraj by 150 meters and Suraj beats Puneet by 300 meters, then find the distance by which Akhil beats ‘C’.

If the sum of upstream and downstream speed is 32 km/hr and the speed of the current is 6 km/hr. Then find time taken to cover 44 km in downward?

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