for the first, use the Taylor Series for cosine and insert x^2
then subtract 1 and divide every term by x.
I have two problems that I need to know how to do step by step. Thanks in advance for the help.
1) How do you evaluate the following integral as an infinite series?
∫ [(cos (x^2) - 1) / x] dx
2) How do I find the line tangent to x=ln(t), y=(1+t^2) at t=1?