Find the following integrals. 1. ∫sec^2x/cosec^2x dx

Question

Find the following integrals.

1. \(\int \frac{sec^2x}{cosec^2x}dx\)

2. \(\int \frac{1}{x^2-6x + 13}dx\)

Answer 1

= ∫(sec²x – 1)dx = tanx – x + c.

2. \(\int \frac{1}{x^2-6x+13}dx\)