Question

Explain Integration with one example..​

Answer 1

Answer:

the inverse of derivation is calld integration

example ....

derivative of x is 1 so integration of 1 is x

Answer 2

$\huge\mathfrak{solution}$

$\boxed{\huge {integration}}$

=> Integration is the reverse process of differentiation .

•Synonym = Anti derivative and Premitive.

If ,

$\frac{d(f(x) + c)}{dx} = f(x)$

then,

$\int \: f(x)dx = f(x) + c$

where ,

C is Arbitrary constant .

$\bf \: \boxed{formula}$

$1) \int {x}^{y}dx = \frac{ {x}^{y + 1} }{y + 1} + c \\ 2) \int \frac{1}{x} dx = log(x) + c \: \\ 3) \int {e}^{x} dx = {e}^{x} + c \\ 4) \int \frac{dx}{ {x}^{2} } = \frac{ - 1}{x} + c \\ 5) \int {a}^{x} dx = \frac{ {a}^{x} }{ log(a) } + c$