f(x)dx=_, | f(r)dr? Given that what IS Preview answer Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the labeled regions are A1-5, A2-4, A3-2 and A4:1 y-fx) A1 АЗ A2 igure is NOT to scale Enter your answer as a whole number Evaluate dx. 1 + e1.82z 71.7 answer If -16 f(x)dx = 12 and r-16 g(x)dx = 15 J- 85 and -16 h(z)dz 21 -85 what does the following integral...
1 (a) Evaluate the integral sz? dx. (32-7) 5 2 7 (b)if s f(x)dx = 3 and 5 f(x)dt = 4, find S f(x)dr. 5
Evaluate the integral. 2 2 3 SS Sy sin zdxdy dz 0 0 0 2 2x 3x SSS y sin z dx dy dz = 0 0 0 0 (Type an exact answer.)
Evaluate the integral. tan 5x sec25x dx al ſ tan 5x sec ?5x dx = 0 TEL
Evaluate the Maclaurin series representing the integral. 0.1 0 )-1 cos 2x dx 0.1 0 )-1 cos 2x dx
Find the volume of the given solid region in the first octant bounded by the plane 2x + 2y + 4z4 and the coordinate planes, using triple integrals 0.0(020 Complete the triple integral below used to find the volume of the given solid region. Note the order of integration dz dy dx. dz dy dx Use a triple integral to find the volume of the solid bounded by the surfaces z-2e and z 2 over the rectangle (x.y): 0 sxs1,...
Evaluate the following integrals (from A to E) A. Integration by parts i) ſ (3+ ++2) sin(2t) dt ii) Z dz un (ricos x?cos 4x dx wja iv) (2 + 5x)eš dr. B. Involving Trigonometric functions 271 п i) | sin? ({x)cos*(xx) dx ii) Sco -> (=w) sins (įw) iii) sec iv) ſ tan” (63)sec^® (6x) dx . sec" (3y)tan?(3y)dy C. Involving Partial fractions 4 z? + 2z + 3 1) $77 dx 10 S2-6922+4) dz x2 + 5x -...
1. Evaluate the line integral S3x2yz ds, C: x = t, y = t?, z = t3,0 st 51. 2. Evaluate the line integral Scyz dx - xz dy + xy dz , C: x = e', y = e3t, z = e-4,0 st 51. 3. Evaluate SF. dr if F(x,y) = x?i + xyj and r(t) = 2 costi + 2 sin tj, 0 st St. 4. Determine whether F(x,y) = xi + yj is a conservative vector field....
Evaluate the following indefinite integral. 3 + 3√x dx dx = 0 Determine the following indefinite integral. Check your work by differentiation. 5m (9m2 - 5m) dm 5m (9m2 - 5m) dm = Determine the following indefinite integral. Check your work by differentiation. Sur dr dr = Find the indefinite integralf f(-7 - 7 sec x tan x - 8 sec? x) dx. SC- -7 sec x tan x -8 sec? x) dx = | Determine the following indefinite integral....
Evaluate a) integral 0 to pi (dx/5-4 cos x) b) integral 0 to infinity (dx/(1+x^2)^3)