Integration

Integration can be considered the reverse process of differentiation or called Inverse Differentiation. Integration is the process of finding a function with its derivative. Basic integration formulas on different functions are mentioned here. Apart from the basic integration formulas, classification of integral formulas and a few sample questions are also given here, which you can practice based on the integration formulas mentioned in this article. When we speak about integration by parts, it is about integrating the product of two functions, say y = uv. More integral calculus concepts are given, so keep learning integral formulas to solve problems accurately. Also, watch the video given below to clear your concept.

List of Integral Formulas

The list of basic integral formulas are

∫ 1 dx = x + C

∫ a dx = ax+ C

∫ xn dx = ((xn+1)/(n+1))+C ; n≠1

∫ sin x dx = – cos x + C

∫ cos x dx = sin x + C

∫ sec2x dx = tan x + C

∫ csc2x dx = -cot x + C

∫ sec x (tan x) dx = sec x + C

∫ csc x ( cot x) dx = – csc x + C

∫ (1/x) dx = ln |x| + C

∫ ex dx = ex+ C

∫ ax dx = (ax/ln a) + C ; a>0, a≠1