Set, Relation and FunctionHard
Question
Let f (x) be a non-negative continuous function such that the area bounded by the curve y = f(x), x-axis and the ordinates x = 
and x = β > is 
. Then f
is
and x = β > is . Then f is Options
A.
B.
C.
D.
Solution
Given that
f(x)dx = β sin β + 
cos β + √2β
Differentiating w. r. t β
f(β) = β cosβ + sinβ - sinβ + √2
f(x)dx = β sin β + cos β + √2β Differentiating w. r. t β
f(β) = β cosβ + sinβ -
sinβ + √2 Create a free account to view solution
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