Question

e-r tan ()c Which, by the way, is exactly what a website like wolframalpha.com will tell you. Hints: 1. Begin by making the substitution u-e'. The resulting integral should be ripe for a trig substitution 2. Make a choice of trig substitution based on the ta2+bu2 term you see after the substitution With the right choice, after substituting and rewriting using sin/cos, you should again have something fairly nice to solve as a trig integral. 3. The substitution sin(20) = 2 sin(0) cos(0) is useful after you integrate. 4. Don't forget to back substitute (through several substitutions!) until everything is in terms of x

1. Begin by making the substitution u=ex . The resulting integral should be ripe for a trig substitution.

2. Make a choice of trig substitution based on the ±a2±b2u2 term you see after the substitution. With the right choice, after substituting and rewriting using sin/cos, you should again have something fairly nice to solve as a trig integral.

3. The substitution sin(2θ)=2sin(θ)cos(θ) is useful after you integrate.

4. Don’t forget to back substitute (through several substitutions!) until everything is in terms of x.

Answer 1

戈 du cosede gec'e de

으+ 2 Sino = u -t 2 Tant u 七 Tan(?