1. 3. Finding Regions of Integration and Double Integrals 2. •LL (x²y - 2xy) dy dx -2 LT" (sin x + cos y) dx dy A) f²f²(4- y²) dy dx LLS (x + y + 1) dx dy 4.

Q: 5=61 sintux)+144 (os? (4X) de

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Q: •2x dx dy. Compute the integral //

A: We have to evaluate the integral I = ∫02x∫13ex2 dxdyWe can see that the limits of y are dependent on…

Q: LDE with Variable Coefficients d²y + 6(x² + x) sin x d?y 6x2 sin x+ 6y sin x – 6 sin x- + sin x- dx2…

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Q: 3 1 Evaluate the iterated integral 12x -1 0 3 1 °dy dx = -1 0

A: Evaluate the iterated integral.       ∫-13∫0112x2y3dy dx

Q: Particular integral of dy +3 dx dy + 2y = e-2a + sin is dx?

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Q: 4. Is y' = sin (ty) separable a) not separable c) separable %3D b) for y =, yes d) with a proper…

A: We have to check whether the given differential equation is variable separable or not.

Q: SvZz+I dx

A: Since you have posted more than one question  we have solved the first question for you.  For…

Q: cos x / sin? x) dx.

A: We have to solve the following given integration

Q: For the integral over [0, π], we have: π an (1) sin(x) x cos (nx)dx (using symmetry of integrand) =…

A: The given integral is, an=1π∫0πsinx×cosnxdx. To evaluate the integration we use the formula of…

Q: Q4: Evaluate each of the following integrals: (a) | (4+ cos x)· sin x dx (Substitution)

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Q: 6. By changing the order of integration, the integral [C sin(x y²) dy dx can also be expressed as…

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Q: 7. Consider the integral √y+1 (b) dx dy. √y+1 (a) Sketch the region of integration, making sure to…

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Q: 2. Integration by trigonometric integrals/substitution: (4 – 3 cos (x)) sin°(x) dx

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Q: 2x2-3x+2 dx 1-) x-1)2(x-2)

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