Ujjwal Garg
- Integration
Differential Calculus is centered on the concept of the derivative. The original motivation for the derivative was the problem of defining tangent lines to the graphs of functions and calculating the slope of such lines. Integral Calculus is motivated by the problem of defining and calculating the area of the region bounded by the graph of the functions.
Ujjwal
- Integration
The integral of the product of two functions is equal to first function times integral of the second function subtracted by Integral of differential coefficient of the first function times integral of the second function.
Ujjwal
- Integral
Alternatively, this integral can also be worked out by making substitution sin-1 x = θ and then integrating by parts will get the problem done in no time.
