In Problems 21–26, use the description of the region R to evaluate the indicated
21.
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- 22. Evaluate the iterated integral. (b) f. [, 2x + »)'dy (a) x+y+ xy dydxarrow_forward4. Evaluate the double integral LL -Y by using change of variables +2y+3 x + y (x - 2y)² x-2y dx dy, u= x - 2y, v=x+y.arrow_forwardCTION 5.e • Evaluate the integral ſf * ds, where f (x,y) = yсos(2лx) and the value of "C" is represented by a triangle with the following vertices: (0,1), (1,0), (0,0)arrow_forward
- 15. Use the indicated change of variables to evaluate the double integral ||18xy ||18xy dA where R is the rectangle with vertices (0,1),(1,2),(2,1),(1,0) R 1 X = 2 1 y =- (u +v) 2arrow_forward33. Using beta function evaluate the following integrals: (i) S x² (1 – x)² dæ; (ii) S,00 æ³ (100 – æ)* dx; (iii) x11 (1 – a*)7 dx.arrow_forwardhow would i evaluate the definte integralarrow_forward
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