Class XII - Integration Online Test


Class XII Mathematics. Topic Integration- Indefinite Integrals. A function f(x) is called aprimitive (or an antiderivative or an integral) of a function g(x) if f`(x)= g(x).

Let f(x) be a function. Then the family of all its primitives (or antiderivatives ) is called the indefinite integral of f(x) and is denoted by ʃf(x) dx .

Thus d/dx [g(x)+C]=f(x)<=>ʃ f(x)dx=g(x)+C
where g(x) is primitive of f(x) and C is any arbitrary constant known as the constant of integration.

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