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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
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.)
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...
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.)