Evaluate the integral. If it is divergent say so, and justify your answer. sin ecos de...
Evaluate the indefinite integral | 22° cos(952)de Justify your answer.
(a) Compute lim 1+0 Jo ecos 1 de. You must justify the passage of the limit under the integral sign. .x2 + (b) Suppose {vn) is a sequence of real numbers that converges to yo. Define F(y) = (sin(y) dar. Prove that Fyn) + F(v.). (i.e. F is a continuous function of y.)
1. Determine whether the integral So* +2dæ is convergent or divergent. Evaluate the integral if it is convergent.
Evaluate the following integrals. If the integral is divergent, state so. Make sure to clearly show all steps for full credit. (a) | 22 In zde (b) ſ sinº cosº o de (e) [ 74 - gyva dy (4 - y2)3/2 t •dt
2x 3 sin Evaluate the spherical coordinate integral p sin dp dop de. 0 0 0 The value is (Type an exact answer, using n as needed.)
determine whether each integral is convergent or divergent, make sure to full justify your answer poo 23 + 2x +1de (d) Ja In(r)
1. Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it diverges to infinity, state your answer as "oo" (without the quotation marks). If it diverges to negative infinity, state your answer as "-oo". If it diverges without being infinity or negative infinity, state your answer as "DNE". ∫0 to 5 1 / x^0.7 dx
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
Evaluate the indefinite integral given below. | (7zł +6xå – 72°) de Provide your answer below: s(7x* +6x - 7x2)dx=0
show work Evaluate the spherical coordinate integral. 211 11- cos o p?sin φαρ αφ de 21 1 1- cos o SS S p?sin & dp dø do = 0 g 0 0 0