integral and functions

JEE Advanced 2015 Answers › Calculus questions › integral and functions

If f(x) and Ï†(x) are continuous function in[0,4] satisfying f(x)=f(4-x),Ï†(x) + Ï†(4-x)=3 and âˆ«⁴₀f(x)dx=2,then the value of âˆ«⁴₀ f(x)Ï†(x)dx is:
NOTE:The upper and lower limits are 4 and 0

#Mathematics #Calculus #Relation & Functions

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Manish Shankar ·Jul 15 at 1:05

$I = \int 0 4 f (x) φ (x) d x = \int 0 4 f (4 - x) φ (4 - x) d x = \int 0 4 f (x) (3 - φ (x)) d x = \int 0 4 (3 f (x) - f (x) φ (x)) d x$

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Sushovan Halder thanks sir
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Basic Integral Calculus Operators Symbols Matrix Cases

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integral and functions

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