How do you perform tabular integration if both functions infinitely repeat differentiation and integration respectively? (click to see example problem).
Thanks

Question

How do you perform tabular integration if both functions infinitely repeat differentiation and integration respectively? (click to see example problem).
Thanks

babyslapmafro · Answer

$$\int\limits_{}^{}\sin(x)\cos(x)dx$$

anonymous · Answer

Use the trigonometric identity: 2*sin(x)*cos(x) = sin(2x) http://www.sosmath.com/trig/Trig5/trig5/trig5.html Then differentiate that way. But if you need to integrate forcibly see this solution: http://answers.yahoo.com/question/index?qid=20071226235101AAaNJsH