Question

What is intrigation tell me auout it

Answer 1

$\sf \huge{Question:-}$

$\sf \: Define \: intrigation$

$\sf \huge{Answer:-}$

The process of finding a function, given its derivative, is called anti-differentiation (or integration).

$\sf \huge{Example:-}$

F(x) =cos x is an anti-derivative of sin x, and ex is an anti-derivative of ex.

$\sf \huge{★Note:-}$

if F(x) is an anti-derivative of f(x) then F(x) + c, where c is a constant (called the constant of integration) is also an anti-derivative of f(x), as the derivative of a constant function is 0. In fact they are the only anti-derivatives of f(x).

Integration and differentiation are reverse processes

We write the indefinite integral off(x) dx = F(x) + c.

if F'(x) = f(x) . We call this the indefinite integral of f(x) .

Thus in order to find the indefinite integral of a function, you need to be familiar with the techniques of differentiation.

Answer 2

$\huge\underline{\bf \orange{AnSweR :}}$

• The process of finding a function, given its derivative, is called anti-differentiation (or integration).
• F(x) =cos x is an anti-derivative of sin x, and ex is an anti-derivative of ex.