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Evaluate the iterated integral. 12 [[(x2 - y2) dy dx J-13-2
Evaluate the following integral. X2 + 16x-4 S*** dx x2 - 4x Find the partial fraction decomposition of the integrand. 1 * +18 x2 + 16x-4 dx = x² - 4x JOdx Evaluate the indefinite integral. *x? + 16x-4 dx = 3 х - 4x
Evaluate the following integral. ſex? (x2 + 4) dx
Evaluate the improper integral or show that it is divergent. dc r2 + 4 S. 22 (22 + 4) da Loitzada dan poo Jo 1 + x2 1 1 + 9x2 dx
Evaluate the line integral. fr de x² dx + y²dy, where C is the arc of the circle x2 + y2 = 4 from (2,0) to (0,2) followed by the line segment from (0, 2) to (4,3).
Evaluate the integral. 4) S -2x cos 7x dx Integrate the function. dx (x2+36) 3/2 5) S; 5) Express the integrand as a sum of partial fractions and evaluate the integral. 7x - 10 6) S -dx x² . 44 - 12 6)
No 13 and 14 (a) Find an approximation to the integral [** (x2 - 4x) dx using a Riemann sum with night endpoints and n = 8. Rg (b) iffis integrable on [a, b], then Serum f(x) dx lim 10 Fx) Ax, where Ax Als and Ax. Use this to evaluate 4x) dx
Evaluate the integral. 3 4 [ rwa f(x) dx where f(x) = 15 - x2 if -3 SXO if 0<x<3
help Evaluate the following integral. jungle In? (x²) -dx s in? (x2) -dx = (Type an integer or a simplified fraction.) X h
2 147 a. Evaluate the triple integral (convert to oylindrical)12I, J xz dz dx dy b. Find the moment of inertia about the z-axis for the solid in the first octant bounded by x2+y2 -4 and z2-x2 + y2 if the density is given by: z. (Use cylindrical.) c. Find the mass of the solid bounded by z2 -x2 +y2 and z 1 in the first octant, if the density is given by: cos. (Use spherical.) 2 147 a. Evaluate...