Question

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Answer 1

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Answer 2

Answer:

Fundamental Theorem of Definite Integration

`int_a ^b f(x) dx = phi(b) - phi(a)`

Examples: `int_2 ^4 x / (x^2 + 1) dx`

Definite integration by substitution

Examples: `int_0 ^1 sin^-1 ((2x )/ (1 + x^2)) dx`

Property 1: Integration is independent of the change of variable. `int_a ^b f(x) dx = int_a ^b f(t) dt`

Property 2: If the limits of a definite integral are interchanged then its value changes. `int_a ^b f(x) dx = - int_b ^a f

Step-by-step explanation: