Please explain all steps in detail from your own work for good feedback.

5. 6. Evaluate the integrals. a) tan x dx b) secx dx c) cot x dx d) csc x dx The integml in part b requires a trick Multiply the integrand by (sec x + tan x) /(sec x + tan x), which is just a fancy name for 1. Then use a u-substitution. Derivatives and integrals involving cot x and csc x tend to mimic the behavior of those in volving tan x and sec x , except there is often an extra negative sign. Evaluate the integrals. a) sin2x dx b) cos2x dx c) tan2x d x d) sec2 x dx