Evaluate the integral 1 ET sin(2²) dx dy by reversing the order of integration. With order reversed, 6 sin(x²) dy dx, where a = ,b= C= and d Evaluating the integral, So S, sin(x2) dx dy =
Evaluate the iterated integral sin x dx dy. Jo Jy
Calculus 3 Evaluate SOLVE NUMBER 30 Evaluate x2 dx dy (x + 4y3) dx dy x + 4y dx dy cos(2x + y) dy dx e-3x-4y dy dx
Q1: Change the order of integration 1 rx-2 61 xy dy dx xy dy dx Jo x2 Evaluate the reversed integral and sketch the region.
Change the order of integration. 6" | vx2 + 16 dx dy The answer should be in the form See f(x, y) dy dx, where a sx sb and g1(x) < y = 82(x) are the bounds of the integration region. (Use symbolic notation and fractions where needed.) a= b= 81(x) = 82(x) = Evaluate the integral with new limits of integration. (Use symbolic notation and fractions where needed.) 6" Sv Vx3 + 16 dx dy =
Evaluate the integral. 27 77 (sin x + cos os y) dx dy 0 311 2TT 5TT 4TT
Change the order of integration: 4xy dy dx. +2 y = 6 y = x + 2 a poco a. 60 * Loa 4xy dx dy $ , 4xy dx dy z 4xy dx dy af Luz Axy ox ay 4xy dx dy Moving to another
1 23 sin(43) dy dx by reversing the order of Evaluate Jo JC2 integration (1 –cos(1) ]](1+cos(1) (1 – cos(1) *] (1 – cos(1) (1+cos(1)
calculus 3 Tar LAami Jum er Z01J -z2 z sin x dy dz dx 1 8. Evaluate L Tar LAami Jum er Z01J -z2 z sin x dy dz dx 1 8. Evaluate L
30 marks please answer with a clear explanation 10. Change the order of integration and evaluate : (i) S" ST ( sin y/y) dy dx (ii) $ $**** xezy /(4 – y) dy dx