Processing Math: Done
Lösung 2.1:5b
Aus Online Mathematik Brückenkurs 2
(Unterschied zwischen Versionen)
K (Robot: Automated text replacement (-{{Displayed math +{{Abgesetzte Formel)) |
K (Solution 2.1:5b moved to Lösung 2.1:5b: Robot: moved page) |
Version vom 10:19, 11. Mär. 2009
The integral is not in our list of known integrals, but we will try to rewrite the integrand as something more manageable.
In this case, we can use the formula for half-angles and write
The right-hand side contains only terms which we can integrate and the calculation becomes
 sin2xdx=21−cos2xdx= 21−21cos2x dx=x2−21 2sin2x+C=x2−4sin2x+C. |
(Notice how we compensate with a factor 2 in the denominator for the inner derivative of
