Evaluate `int_(1)^(4)f(x)dx`, where `f(x)={{:(4x+3,"if" 1 le x le 2),(3x+5,"if" 2 le x le 4.):}`

Evaluate int_(1)^(4) f(x) dx, where f(x)={{:(4x+3",",1 le x le 2),(3x+5",",2 le x le 4):}

Prove that following: underset(1)overset(4)intf(x)dx, where f(x) ={ {:(4x+3, if 1 le x le2), (3x+5, if 2 le x le4)

Evaluate : int_(0)^(3) f(x) dx , where f(x)={(cos2x",",0 le x le (pi)/(2)),(3",",(pi)/(2) le x le 3):}

Evaluate int_1^4 f(x)dx , where f(x)={(2x+8,1lex,le,2),(6x,2lex,le,4):}

Evaluate int_1^4 f(x)dx , where f(x)={(2x+8,1lex,le,2),(6x,2lex,le,4):}

If f(x)={{:(,x^(2)+1,0 le x lt 1),(,-3x+5, 1 le x le 2):}

If f(x)={{:(,x^(2)+1,0 le x lt 1),(,-3x+5, 1 le x le 2):}

Evaluate: int_-2^2 f(x) dx where f(x)={:{(2x-1,-2 le x le1),(3x-2,1lex le2):}

Let f(x)={{:(1+x",", 0 le x le 2),(3-x"," ,2 lt x le 3):} find (fof) (x).

Let f(x)={{:(1+x",", 0 le x le 2),(3-x"," ,2 lt x le 3):} find (fof) (x).