12 + csc 0 [sin 0 + csc 0]d0

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A: Given: I=∫3xcos4-x2-8x4-x2dx   So, we can also write as: I=∫3xcos4-x2-8x4-x2dx=∫3cos4-x2-84-x2xdx…

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A: Using green theorem, value is evaluated.

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Q: |[Practice Problem] Solve and calculate the double integral by making a proper change of variables…

A: Let x+y=ux-y=v Then the enclosed region becomes Consider y=1-xy+x=1u=1 Consider y=xx-y=0v=0 Consider…

Q: Use u-substitution to compute the integral for problem F. Thank you

A: The given integral is,

Q: . Determine the area below f(x) = 8x - 2x² and above the x-axis.

A:

Q: y(t) +4 et"y(t – v)dv = 3. Let Y(s) denote the Laplace transform of y. (a) Apply the Laplace…

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Q: Determine S, x² dx. Get Ax, x¡, and f(x¡) and sub. to lim E-1f(xi) · Ax. n→∞

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Q: Calculate the following line integral: Sey dx – x dy Over the four curves C given by the following…

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Q: "¼ rseco sin 2ø dp do de

A: To evaluate the given triple integral.

Q: Find the general solution to the following differential equations: ex dy a. Answer: y = In|1+ e*|+C…

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Q: ne Triple Integr

A: Here we have, to calculate,  I=∫0π/2∫04cosθρ3dρdθ

Q: tan x[cot x – cos x]dx |

A: Topic:- integration and trigonometry

Q: 1+ 2x

A:

Q: S (x+3)² √40 - 6x XQ dx.

A:

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A: We have to evaluate the given integral.

Q: [₂7-4x dx -2 Determine the value of [4f(x) dx given that [ƒ(x) dx = 10 and ſº ƒ (x) dx = 3. 27 sin…

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Q: 1+e* dx X- e-t

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Q: leve and ge) are function flx) orthogonal in the intervalLab] condlition. called 4 they Isatiyy the…

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Q: S(6–5w)e'w-5w* +(20w– 24)sec² (12w-5w° )dw

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Q: xp£p( c£xZ+& ,x)_JJ A

A: