Given fuction,{(x^(2), "for" 0 le x lt1)...

Given fuction,`{(x^(2), "for" 0 le x lt1),(sqrtx, "for" 1le x le 2):}`
Evaluate `int_(0)^(2) f(x) d x `.

Verified by Experts

The correct Answer is:

`(1)/(3)(4sqrt(2)-1)`

Similar Questions

Explore conceptually related problems

Given function f(x) ={:{(x^(2),"for " 0 lexlt1),(sqrt(x),"for "1 le x le2):}, "then" int_(0)^(2)f(x)dx is equal to

If {:(f(x)=x^(2)", if "0 le x le 1),(" "= sqrt(x)", if " 1 le x le 2","):} then int_(0)^(2)f(x)dx=

Let f(x) ={:{(x, "for", 0 le x lt1),( 3-x,"for", 1 le x le2):} Then f(x) is

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

If f(x)={:{(x", for " 0 le x lt 1/2),(1-x", for " 1/2 le x lt 1):} , then

If f(x)=[{:(sqrt(1-x), , , 0 le x le 1),((7x-6)^(-1) , , ,1 le x le 2):} then int_(0)^(2)f(x)dx equals

If f(x)={:{(x", for " 0 le x lt 1),(2", for " x=1),(x+1", for " 1 lt x le 2):} , then f is