2. %3D 4. Use the washer method to find the region bounded by y = sinx and y = cosx and x = 0 and x =- and is revolved about the x-axis. State the 3D%D= 4 use the identity cos2x = cos*x – sin*x) Famuleh, A(f09=0) dX integral you used to solve the problem and give an exact value answer. (Hint: use the identity cos2x = cos²x - – sin?x) Famula! ATH

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A: From the given problem: (i) I=∫ 3x2+6e2x-sin3xdx   So,   ∫ 3x2+6e2x-sin3xdx=∫ 3x2dx+∫…

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A: Given integral is ∫y=01∫x=01-y2x+ydxdy Limits of y are y=0 to y=1, limits of x are x=0 to x=1-y2 The…

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Q: Q3:- Evaluate the integrals and sketch the region of integration (4 y")dy dx 2, L,(x+y+ 1)dx dy

A: (1).  The given integral is: I=∫03∫02 4-y2 dy dx Now the region of integration is:

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Q: Evaluate the integral / (2x + 6y)dx + (15x – y)dy a C arc y = x² from (0,0) to (1, 1). NOTE: Enter…

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A: To find:- Double integral by conversion given integral to polar form

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A: On plotting y = 0 and y = 9 - x2 , we will get this region , for which we have to calculate area.…

Q: 4. Use Integration to find the exact area of the region common to r = 3 and r 6 cos(0).

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A: I assumed that option of dv is same for all prompts

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A: We have definite Integration to solve.

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Q: for the cônstant of integration.) Find the inderinite integral. (0se 2 | Cos(e) – 1 de

A: We can solve it using trigonometric substitution as below.

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A: The given integral is: I=∫111∫-11(2x-4y) dy dx

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A: Consider the provided question, (3) (a) Evaluate the given integral,

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Q: O Find area between Curve and x-axís for O Ex<3 for y= x²- 4x43x Find area between 4= Cosx and %3D…

A: Ans (1). Given that, y = x3 - 4x2 + 3x 0 ≤x≤3   and we have to find area between x-axis and given…

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Q: Find the indicated Midpoint Rule approximation to the following integral. 17 3x dx using n = 1, 2,…

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A: Let's find.

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A: The given expression is: ∫01∫arctan xπ4 f(x,y) dy dx

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