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Use cylindrical coordinates to evaluate the integral. S SVO?-?? /o-+?=> p?dzaydx (a > 0) Enter the exact answer. S6 Soy Sa+=2=x?dzdydx ? Edit Use cylindrical or spherical coordinates to evaluate the integral. 36—y2 2-x2y2 6* %* Son z? dz dx dy Enter the exact answer. 6.* 6*** San z2 dz dx dy = x2 + y2
evaluate the integral
Evaluate the integral. [ 6x dy dx 0 - 1734 O 1020 0 - 204 O 102
Evaluate the integral cosh(r)dx dy dz Jo o
Evaluate the integral cosh(r)dx dy dz Jo o
Q3-Evaluate the integral: dx Q4-Evaluate the integral: tan x dx (x + 1)
8. Sketch the region of integration and evaluate the integral re dx dy, where G is the region bounded by 0,1, -o,y-
8. Sketch the region of integration and evaluate the integral re dx dy, where G is the region bounded by 0,1, -o,y-
4) Evaluate the iterated integral dx dy.
4) Evaluate the iterated integral dx dy.
Evaluate the following integral. x² dx √ 121 + x² What substitution will be the most helpful for evaluating this integral? O A. x= 11 sec 0 O B. x= 11 tano O C. x= 11 sino Find dx. dx = dᎾ Rewrite the given integral using this substitution and simplifying. so x dx - Sodo √121 + x² Evaluate the indefinite integral. x²dx s √121+x² (Use C as the arbitrary constant.)
Evaluate the Integral
Evaluate the integral TT " 9 - sin 10x dx 10
[ Vx2 + 2x – 3, Evaluate the integral: (x + 1)3 "A Hint: To start, complete the square for the quantity under the square root. 5+ 4x Evaluate the integral: | J x3 + 6x2 + 5x - dx
3.) a.) Evaluate the following integral. (15 points) in(1 +5x?) dx b.) Evaluate the following integral. (10 points) tanº (6x) sec 10 (6x) dx