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Evaluate the line integral in Stokes Theorem to evaluate the surface integral J J(VxF)-n ds. Assume that n points in an upward direction F (xty,y z,z+x) S is the tilted disk enclosed by r()-(3 cost,4sint,7 cos t Rewrite the surface integral as a line integral. Use increasing limits of integration. dt (Type exact answers, using π as needed.) Find the value of the surface integral. JÍs×F).nds-ロ (Type an exact answer, using π as needed.) Evaluate the line integral in Stokes...
Part A Evaluate the integral: I= j (+5 + 5) (8 (t) + 128 (t – 1)) dt. Express your answer using three significant figures. View Available Hint(s) VO AXO Ut vec 2 ? Submit Part B Evaluate the integral: I = ſ t® [8 (t) + 8(t + 1.8) + 8(t – 3)] dt. Express your answer using three significant figures. View Available Hint(s) ran Use step functions to write the expression for the function shown in (Figure 1)....
Evaluate the integral.∫(sec²(t) i+t(t²+1)⁵j+t⁴ln(t)k)dt
Given the integral: S (2.5 - ?) de The Jacobian of the mapping required to evaluate the integral is None of the above. J-3.50 J-5.00 J-1.5 J-7.00
(b) For which s E C does the integral dr exist as an improper Riemann integra? Justify your answer. (e) Evaluate J(s) by considering a contour integral around a suitably chosen rectangular contour (a) tse a value of s for which J(s) can be evaluated by elementary means to check your answer to part (e) (e) Use your answer to part (e) to evaluate cos(anld (where a E R). (f) Hence (where α E R) determine the value of (...
Evaluate the surface integral SS -?yds Where S :r(u, v) = 5 cosui +5sinu j+ vk, Osus, osvsi S
(a) Use the obvious identity i-re-u to evaluate the integral sin dr. (b) Use the double angle formula and integrate by parts to evaluate the integral in da (c) Prove that both of these integrals converge as improper Riemann integrals (albeit for different reasons). (d) Use scaling to evaluate the integral r.sinatz dr dar for tE R. (a) Use the obvious identity i-re-u to evaluate the integral sin dr. (b) Use the double angle formula and integrate by parts to...
Evaluate the integral.∫(sec ²(t) i+t(t²+1)⁵ j+t⁴ ln (t) k) d t
For each indefinite integral, evaluate the integral. For each definite integral, evaluate the integral or show that it is divergent. ******Please try not to use U-sub, I do not understand how the online step by step calculators solve using 4. a and b 8+2x2 r(arctan(x))dx 8+2x2 r(arctan(x))dx
5. Evaluate the integral sec" x dr. 6. Evaluate the integral I 2 dx X3 V x2 – 1 >1. 7. Evaluate the integral dc I VAI 8. Evaluate the integral 19 - 22 dc. .x2