SP: Aşağıdaki integrallerini hesaplayınız. z arctan(x)dx a) ſta b) [ 1 (1+x2) -da
Question 1 12 Evaluate: So x2 arctan(x) dx = HTML Editor B I y A - A - IX EE 3 7 2 xx, 5 E * CV TT: 12pt
5. a. By completing the sequence, show that 2 TC dx x2 - x + 1 = 3V3 Hint: d arctan x = dx 1 x2 + 1 b. Show that 3V3 T = (-1)" on
Find dy dx if y = In(x2/x + 5). dy dx Find dp da if p = In 91 9 in(92-5). dp bp Find if p = In(94 + + 5). da dp da II
help with this questions. N/B show the working 1 Calculate maximum value of y= arctan ) - ) 2 derivative of arcsin(7) 3 prove int(V1 – 2x2] da = [arcsin(x) + x V1 – x2] 3 int(1 : (x? - 4x + 7) dx =? 4 derivative of abs (arcsin(abs (2))] =? abs = absolute value.
A. 1 - dx x(ln x) (Hint: Let u = ln x) 2 B. v3 arctan x - dx 1+2 م 1/2 م ccosx dr [use cost on p.494 prob. 44 formula]
is this correct? for: is this correct? for: 2 dx 19+x2 2 2 dac 2 х U 13 Z - dx = 3 Х + 3 21 3 34² +3 np 11 Surtide une Z arctan Surs de Su du Sax = 12 arctan 13 12 z arctan G) zt 13 .IT/Z x cos 2x dx cos 2x dx = x Cos (2x) Ste afg. Sto Fax.gi- cestzs) [" Sx cas 2x dx . X BN (2) -S SIN (2x)...
Consider the vector field F(x, y, z) = (z arctan(y2), 22 In(22 +1), 32) Let the surface S be the part of the sphere x2 + y2 + x2 = 4 that lies above the plane 2=1 and be oriented downwards. (a) Find the divergence of F. (b) Compute the flux integral SS. F . ñ ds.
This is calculus based physics. SHOW ALL WORK Equations: dar -1 arctan (z/a) (a2 r2) cos(a y) os(z)cos (y) sin(z)sin(y) COS 1 cos(2r B. ds Au0Ienc E. dA. E. dA Wenc dB 1 da dEy 4Teo r2 4TTE YAV 0 For a closed loop out 27a. IR AVe dt EA BA x BA BB BA UBA x E Ex B
1 Use the Divergence Theorem to compute the flux of the field y 5yz, arctan X COS s(y2)) out of the region E that lies between the spheres (x2 + z2 x2 + z x² + y² + 2² 25 and x2 + y2 + z 81 in the first octant.
Q5.1 8 Points 05.16 Show that of arctan x3 - dx = € (-1/n+1 23(2n – 1)2 2 Q5.2 8 Points Determine at least how many terms of the series in part Q5.1 should be added up to approximate the value of - dx with an error less than "Jo X arctan x3 300