Can someone show me the steps to get to the answers?
x*sin(2*x) dx;
The answer is:
1/4*sin(2*x)-1/2*x*cos(2*x)
1/(x^2*(x^2+4)) dx;
The answer is -1/8*arctan(1/2*x)-1/(4*x)
(sin*(x))/(1+cos^2*(x)) dx;
The answer is:
sin/cos^2*x-sin/cos^4*ln(1+cos^2*x)
x/(sqrt(9-x^2)) dx 0to1
The answer is:
1/(3+2*2^(1/2))
You should try to show some effort. You're not suppose to just post problem after problem for others to solve. I don't think there's any rule against posting more then one problem, but you really should show that you've attempted to do this yourself. That way we know what topic you need to work on. However, I'll help get you started with the first integral.
I'll use a substitution to modify it.
Let so that . The integral becomes .
Now use integration by parts to finish. The formula is:
Let and .
Now see if you can use this information to find .