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

Evaluate int_(-2)^(4) |x-1| dx.

Find the values of a and b such that the functio defined by f(x)={{:(5",","if",x le 2),(ax + b", ","if" ,2 lt x lt 10),(21", ","if" ,x ge10):} is continuous function.

Which one of the following is true? For the real function, f(x) = {{:(x + 2 ", if" x le 1),(x - 2 ", if" x gt 1):}

find the points of discontinuity of the function f defined by f(x) = {(x^3 - 3, x le 2),(x^2 + 1, x > 2):}

Find the relationship between a and b, so that the function f defined by f(x){{:(ax+1","," if " x le3),(bx+3","," if " xgt3):} is continuous at x=3.