1. ## Integrals and Derivatives

(a) Integral from pi/6 to pi/4 of tan(x)e^(sec(x))sec(x)dx

(b) integral from x=0 to ln(2) of (e^2x)/(1+e^x)dx

(c) antiderivative of 1/(a+b sqrt(x))dx

(d) antiderivative of (ln(x))^2 x

2. ## Re: Integrals and Derivatives

(a) Integral from pi/6 to pi/4 of tan(x)e^(sec(x))sec(x)dx

use the substitution ... u = sec(x)

(b) integral from x=0 to ln(2) of (e^2x)/(1+e^x)dx

use the substitution ... u = 1+e^x

(c) antiderivative of 1/(a+b sqrt(x))dx

I'd try the substitution u = sqrt(x)

(d) antiderivative of (ln(x))^2 x

try the substitution u = ln(x) ... x = e^u
looks like integration by parts after that