Solve: ∫[2x/(x4+1)] dx
Let x2 = t and 2x dx = dt => ∫[dt/(t2+1)] dt => tan-1(t) + c => tan-1 x2 + c
The speed of current is 10 km/h. What will be the respective downstream speed and upstream speed of a boy rowing a boat, if one sixth of the distance co...
X started to run from point ‘A’ to ‘B’ at a speed of 23 km/hr at 9:00 am and Y started to run from point ‘B’ to ‘A’ at a speed of 20 km/...
Sumit covered a distance of 1000 km in 5 hours on a bike. How much distance will he cover on a bicycle in 7 hours if he rides the bicycle at 2/5th<...
A car running with a speed of ‘x’ m/sec makes 9 rounds of a circular field having radius 49 metres, in 12 seconds. Find the time taken by ca...
A train travels at an average speed of 75 km per hour without stoppage and with stoppages it covers the same distance at an average speed of 55 km/hr. H...
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’.
1322 metres long train crosses a man who is moving in the same direction with a certain speed, in 40 seconds. If the same train can cross a tree in 20 s...
A car running with a speed of 65 km/hr takes 12 hours to go from 'A' to 'B'. If on the way back from 'B' to 'A', the car takes 20% less time than it tak...
Two cars X and Y start from two places A and B respectively which are 700 km apart at 9 a.m. Both the cars run at an average speed of 60 km/hr towards e...
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?