choose either subsitution, integration by parts, trigonometric subsitution or integration using partial fraction and solve the...
(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.)
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 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 following integral using integration by parts. (steldt Use the integration by parts formula so that the new integral is simpler than the original one. Choose the correct answer below. OA. 5e! 1- / (5te") at B. 5e'+ |(5e!) dt +((ste") at O D. Ste'- |(5e) a OC. Ste!
2. (5 pts) Use integration by parts to show that 1- x2 Write x2-x2-1+1 in the second integral and deduce the formula Now, use a trigonometric substitution to conclude that Evaluate 1- x2 dx by using the FTC and then verify your answer by interpreting the integral as the area of a familar shape. 2. (5 pts) Use integration by parts to show that 1- x2 Write x2-x2-1+1 in the second integral and deduce the formula Now, use a trigonometric...
Evaluate the following integral using integration by parts. [218 csc?a de Use the integration by parts formula so that the new integral is simpler than the original one. Choose the correct answer below. B. Ocot - OA. - 210 cote- -(-21 cot e) de -[(sin e) de OC. -210 sine + ſ(-21cs (-21 csc 6) de OD. -21 csco - [(-21 (-210 coto) de Evaluate the integral [210 cse’e do=D
2.(a) When applying the formula for integration by parts, how do you choose u and du? (b) Why do we use the method of partial fractions to solve some integrals?
Evaluate the following integral using integration by parts. [ 190 sec?o de Use the integration by parts formula so that the new integral is simpler than the original one. Choose the correct answer below. O A. 190 tan 0- o-f(19 tan 6) de OB. 19 sec 0 - (190 tan e) do - ſicoso) + ſ(19 sec OC. Otan - (cos 0) de OD. 190 cos 0+ (19 sec ) do Evaluate the integral [190 sec pod do =