7. Consider the following integral: J 36 - 22 (a) Use trig substitution to rewrite the integral as a new integral which involves only 0. You don't have to simplify this integral or finish evaluating the integral. Start by filling in the following blank: The trig substitution I'm using is x = Next, set up the appropriate reference triangle. (b) Using the same trig substitution from part (a), express tand in terms of x.
14_2 Evaluate the integral: la dar 100 - 22 (A) Which trig substitution is correct for this integral? Or = 100 tan(0) OI= 100 sin(0) On = 100 sec(0) Or = 10 sin(0) DE 10 sec) 10 tan(0) -) От 10] D) 0) 10) 10) DO (B) Which integral do you obtain after substituting for x and simplifying? Note: to enter , type the word theta. de n Preview (C) What is the value of the above integral in terms...
23V22 - 100 Evaluate the integral: $23V22 dc (A) Which trig substitution is correct for this integral? Oo = 23 sin(0) Or = 100 sec(0) Ox= 10 sin(0) Ot= 10 tan(0) Or = 100 tan(0) or = 10 sec(0) (B) Which integral do you obtain after substituting for x and Note: to enter 0, type the word theta. de (C) What is the value of the above integral in terms of O?
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...
Evaluate the following integral using Integration by Parts or Trigonometric Substitution dc Show all your work: i.e. If you use Integration by Parts, clearly define u,du, v, dv or if you use Trig Sub clearly define what substitution you use for I as well as dr and other corresponding parts of your substitution
Evaluate the following integral using Integration by Parts or Trigonometric Substitution dc Show all your work: i.e. If you use Integration by Parts, clearly define u,du, v, dv or if you use Trig Sub clearly define what substitution you use for I as well as dr and other corresponding parts of your substitution
2. (20 points) Evaluate the following integral using Integration by Parts or Trigonometric Substitution dr Show all your work: i.e. If you use Integration by Parts, clearly define u,du, v, dv or if you use Trig Sub clearly define what substitution you use for r as well as dr and other corresponding parts of your substitution
Evaluate the integral using an appropriate trigonometric substitution dt V2 - 6t + 13 Evaluate the integral using an appropriate trigonometric substitution
Decide on what substitution to use, and then evaluate the given integral using a substitution. HINT See the FAQ a the end of the section for advice on deciding on u, and the examples for the mechanics of doing the substitution.] (4 10.2e344 dx +3.000024034x-4x + Decide on what substitution to use, and then evaluate the given integral using a substitution. HINT See the FAQ a the end of the section for advice on deciding on u, and the examples...
Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of integration.)