MATH 126 SI – Montgomery
Ashley Luo [[email protected]]
Week 3: §6.2 & 6.3
Trig Integrals, Trig Subs, Partial Fractions
Concepts
Half-angle formulas
Double-angle formulas
Trig substitution
Problems
§6.2 Trig integrals and substitutions
Evaluate the integral.
1.
∫ sec
2.
∫ cos
4
2
x tan 4 x dx
x tan 3 x dx
www-sfc.usc.edu/~yululuo
dornsife.usc.edu/math126
Integrals of tanx, cotx, secx, cscx
3.
4.
x2
∫ (a 2 − x 2 )3/2 dx
∫
x2
2x − x 2
§6.3 Partial fractions
x2 − x + 6
5. Evaluate ∫ 3
dx .
x + 3x
Math Mirth:
Person 1: What's the integral of (1/cabin) with respect to cabin?
Person 2: A log cabin.
Person 1: No, a houseboat; you forgot to add the C!