MathDB

609

Part of 2010 Today's Calculation Of Integral

Problems(1)

Today's calculation of Integral 609

Source:

6/2/2010
Prove that for positive number tt, the function F(t)=∫0tsin⁡x1+x2dxF(t)=\int_0^t \frac{\sin x}{1+x^2}dx always takes positive number.
1972 Tokyo University of Education entrance exam
calculusintegrationfunctiontrigonometrycalculus computations