Consider a real valued continuous function f such that f(x)=\sin x+\\int_{-\\pi\/ 2} ^{\\pi\/ 2}(\sin x+t f(t)) d t. If maximum value of the function is equal to k(\\pi+1), k \\in N, then the value of k is:

JEE Advanced 2021 Full Test 5 Paper 1

PART – III

Mathematics

SECTION – A (One Options Correct Type)
This section contains 06 multiple choice questions. Each question has four choices (A), (B), (C) and (D), out of which ONLY ONE option is correct.

Question : 37 of 54

Marks: +1, -0

Consider a real valued continuous function f such that f(x)=sin‌x+

π∕2

∫

−π∕2

(sin‌x+tf(t))dt. If maximum value of the function is equal to k(π+1),k∈N, then the value of k is:

Validate

Go to Question:

Prev Question

Next Question