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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 following: csc(x) cot(x) dx i) s 2-csc (x) ii) S x sin(4x) iii) 6. x sin(x2) dx iv) x x + 3y = 3
Evaluate the following integral in cylindrical coordinates. 6 213 16x2 SS S -x2 - y2 dy dx dz e 0 0 X 6 213 16-X2 S ,-x2 - y2 dy dx dz = 0 0 x (Simplify your answer. Type an exact answer, using a as needed.)
Find the exact value of each of the remaining trigonometric functions of e. tan 0 = - 5a, cos 0<0 sin 0 = 0 (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or cos 0 = 0 (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or sec 0 = (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fi csc 0 = (Simplify your answer....
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...
Please evaluate : 12* ∫ { [ cot (3X) ] ^4 } *{ [ csc (3X) ] ^2 } *dX as X varies from 0 radians to (π/12) radians
Find the arc length parameter along the curve from the point where t=0 by evaluating the integral s | |vIdT. Then find the length of 0 the indicated portion of the curve. The arc length parameter is s(t) (Type an exact answer, using radicals as needed.) Find T, N, and k for the plane curve r(t) (2t+9) i+ (5-t2) j T(t)= (Type exact answers, using radicals as needed.) (Type exact answers, using radicals as needed.) Find the arc length parameter...
Evaluate the integral using integration by parts. e4 Sx x? In (x)dx 1 e 4 S x In (x)dx=0 (Type an exact answer.)
Choose the best answer: S. dx X V16-9x2 In|csc cot | + C 2 n|csce cot | +C 4 In|csc 8 – cotoſ +C 3 In|csc – cot 0 + c 4
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.)