what is vertical integration and horizontal integration
Answers
Answer:
Integration is the process of anti differentiation
For example,
Consider x³, it's derivative would be 3x²
But now if you are want to get x³ from 3x², you integrate 3x²
Here you go,
\begin{gathered} \displaystyle{ \sf \: l = \int \: 3 {x}^{2}.dx } \\ \\ \leadsto \: \displaystyle{ \sf l = 3 \big[ \dfrac{ {x}^{2 + 1} }{2 + 1} \big]} \\ \\ \leadsto \: \boxed { \boxed{ \sf \: l = {x}^{3} + c }}\end{gathered}
l=∫3x
2
.dx
⇝l=3[
2+1
x
2+1
]
⇝
l=x
3
+c
Arbitrary Constant
C is referred to as Arbitrary Constant
C is added to the end result of the integration process
It represents all the function of the given integral
Significance Of Integration
Integration is used to find the area under a graph.
In physics,it helps us to find velocity from acceleration and so on
Integration is solved by using the formula :
\displaystyle \: \sf \: l = \int \: \dfrac{ {x}^{n + 1} }{n + 1}l=∫
n+1
x
n+1