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- Consider the triple integral: (ʃ_2^3 ʃ_4^8 ʃ_0^10 sin(xy-z) dxdydz). Use a change of variables to transform the integral to an integral over the cube: {0<a<1, 0<b<1, 0<c<1}.Calculate the iterated integral 2∫1y∫0x√y2+x2dxdy.4. Compute the following integral by making a change in coordinates. ż 2 ´2 ż ? 4´y2 0 ż ? 4´x2´y2 ´ ? 4´x2´y2 x 2 a x 2 ` y 2 ` z 2 dz dx dy.
- Find The General Integral Of The Equation (x - Y)p + (y – X – Z)q = Z And The Particular Solution Through The Circle Z 1, X2 + Y2 = 1.( a .. )Find the approximations T 8 and M 8 for the integral integral 0 to 1 cos (x 2 ) dx Estimate the errors in the approximations of part (a).Evaluate the integral: ∭D(x2+y2+z2) dxdydz, where D is defined by x2+y2+z2≤2.
- 6.3.18. Evaluate the integral. using U substitution integrate (cos^2(x)sin^2(x))dxSolve the triple integral, step by step to arrive at the result. Evaluate the triple integral ∫∫∫E z/ (x2 +z2) dV where E= {(x,y,z)| 1 ≤ y ≤ 4, y ≤ z ≤ 4, 0 ≤ x ≤ z}Evaluate the double integral. 8xy2 dA, D is enclosed by x = 0 and x = (4-y^2)^1/2