Today's calculation of Integral 333
Source: 1982 Ritsumeikan University entrance exam/Science and Technology
June 3, 2008
calculusintegrationfunctiontrigonometrycalculus computations
Problem Statement
Find the functions such that f(x)\plus{}\int_0^x g(t)\ dt\equal{}\sin x(\cos x\minus{}\sin x),\ \{f'(x)\}^2\plus{}\{g(x)\}^2\equal{}1.