Functions and Integration

Calculus Level 4

If \(f(x)\) and \(\phi(x)\) are continuous functions on the interval \([0,6]\) satisfying \(f(x)=f(6-x)\) and \(\phi(x)+f(6-x)=5\) and \(\displaystyle \int _{0}^{6} f(x)=3\) then the value of

\(\large{\{\displaystyle \int ^{6}_{0} f(x) \phi(x) .dx\}}\)

where \(\{x\}\) denotes fractional part of \(x\)

×

Problem Loading...

Note Loading...

Set Loading...