Give all formula for Integration of class 12 for JEE mains
Answers
Step-by-step explanation:
Differentiation is the action of computing a derivative. The derivative of a function y = f(x) of a variable x is a measure of the rate at which the value y of the function changes with respect to the change of the variable x. It is called the derivative of f with respect to x.
∫f(x)dx=F(x)+C,ifF′(x)=f(x). In this definition, the ∫ is called the integral symbol, f(x) is called the integrand, x is called the variable of integration, dx is called the differential of the variable x, and C is called the constant of integration.
Answer:
If f and g are functions of x such that g’(x) = f(x) then,
∫ f(x)dx = g(x)+c ⇔ \frac{d}{dx}\left \{g(x)+c \right \} = f(x)
dx
d
{g(x)+c}=f(x) , where c is called the constant of integration.