things to know for math 1b

u = arctan(x)

du = dx / (1 + x²)

when do you need to change the limits?

When performing integration by substitution, you need to change the limits of integration to correspond to the new variable.

derivative formula

when do you integrate by parts

integral of sqaure root of asquared - xsquared dx

x = a sin(theta)

integral of sqaure root of a suared + x squared dx

x = a tan(theta)

integral of square root of x squared - a squared

x = asec(theta)