Definite Integrals Part 3

Section: Mathematics
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Question : 114 of 115
 
Marks: +1, -0
Let ‌‌f(x)=x+‌
a
π2−4
s
i
n
‌x
+‌
b
π2−4
‌cos
‌x
, x∈ℝ be a function which satisfies f(x)=x+
π∕2
∫
0
sin‌(x+y)f(y)dy
. Then (a+b) is equal to
[29-Jan-2023 Shift 1]
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