MathDB

203

Part of 2007 Today's Calculation Of Integral

Problems(1)

Today's calculation of Integral 203

Source: Tokyo Instutute of Technology entrance exam 1967

5/15/2007
Let α, β\alpha ,\ \beta be the distinct positive roots of the equation of 2x=tan⁡x2x=\tan x. Evaluate the following definite integral. ∫01sin⁡αxsin⁡βx dx\int_{0}^{1}\sin \alpha x\sin \beta x\ dx
calculusintegrationtrigonometrycalculus computations