Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of integration.)
$$ \int \frac{x^{3}}{\sqrt{x^{2}+25}} d x, \quad x=5 \tan (\theta) $$
Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of integration.)
Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of integration.)
Use trigonometric substitution to find or evaluate the integral. (Use C for the constant of integration.) dx There 276 sec’e - 6/6 sec(0) + C * 6 + x²
Evaluate the integral by making the given substitution. (Use C for the constant of integration. Remember to use absolute values where appropriate.) x3 dx, u = x4 – 5 5 Evaluate the indefinite integral. (Use C for the constant of integration.) X dx 1 + x20
Find the indefinite integral. (Use C for the constant of integration.) Evaluate the integral using the given integration limits and the limits obtained by trigonometric 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 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
Evaluate the integral by making the given substitution. (Use C for the constant of integration.) dt u = 1 - 2t (1 - 20) [-/1 Points] DETAILS SCALC8 4.5.512.XP. Evaluate the definite integral. 5 V1 + 3x dx Love
Evaluate the integral by making the given substitution. (Use C for the constant of integration.) *? Vx2 + 7 dx, u = x3 + 7
(a) Use Trigonometric Substitution to evaluate the integral 22 9 dr. T (b) Use the method of Integration by Parts to rewrite the following integral. (You do not need to fully evaluate the integral.) | «* sin(x2) dr. (c) Find the form of the partial fraction decomposition of 2.r2 - 3.c + 77 (x - 1)(x² +2) (You do not need to solve for the coefficients.)