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(A) For each of the following function f...

(A) For each of the following function f(x), verify that: `int_0^2 f(x) dx=int_0^1 f(x) dx+int_1^2 f(x) dx:` (i) f(x)=x+2 (ii) f(x)=`x^2+2` (iii) f(x)=`e^x` (B) For each of the following pairs of function `f(x)` and `g(x)`, verify that: `int_0^1 [f(x)+g(x)]dx=int_0^1 f(x) dx+int_0^1 g(x) dx:` (i) f(x)=1,g(x) =`x^2` (ii) `f(x)=e^x, g(x)=1`

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