"Published in Suisun City, California, USA"
Evaluate
Solution:
Consider the given equation above
There are two functions in the given equation which are x3 and sin x, respectively. If
then
If
then
By applying the integration by parts, we have
Since the second term at the right side of the equation have two functions which are x2 and cos x, then we have to apply the integration by parts again. If
then
If
then
Again, by applying the integration by parts, we have
Therefore, the first integration by parts becomes
Since the second term at the right side of the equation have two functions which are x and sin x, then we have to apply the integration by parts again. If
then
If
then
Again, by applying the integration by parts, we have