337

Part of 2008 Today's Calculation Of Integral

Problems(1)

Today's calculation of Integral 337

Source: 1996 Tokyo University of Agriculture and Technology entrance exam

Find \lim_{n\to\infty} \int_0^{\frac{\pi}{2}} \sum_{k\equal{}1}^n \sin kx \sin x\ dx.

calculusintegrationlimittrigonometrycalculus computations