If R is the region enclosed by x-axis, y = -3x and x = -2, then evaluate the following double integral: // 8y dA. R

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A: From the given problem; ∫xsec12xtan12xdx=uv-∫vdu    ....1   We know that; ∫secxtanxdx=secx+C

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A: Given  v = 1(2t+2)m/s   for 0≤t≤8 ; n =4 Displacement = ∫081(2t+2)dx Number of subinterval = 4  h =…

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Q: 4. Suppose U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {3, 4, 5, 6, 7}, B = {all multiples of 3} and C =…

A: U=1,2,3,4,5,6,7,8,9A=3,4,5,6,7B=all multiples of 3C=all multiples of 2

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A: Use simple integration formula.

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A: Let's find.

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A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

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A: To give a representation for integration by parts.

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Q: QUESTION 17 2x³. Consider E* s2x²-x²+x+2 x4 + x³ D dx find A+B+ C+D- dx = x2 X +1 0 5 2. O O O O

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A: Let's find.

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A: Here, the given integral is: I=∫2xcos2(2x)dx=2∫x sec2(2x) dx

Q: Svain2x dx =uv- fvdu - Svau. x/x In 2x- Vx dx v- Svau- Using Integration By Parts, Find uv- Jv du O…

A: Find your answer below

Q: Integrate

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A: Here we use the concept of dot product and cross product of vectors

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Q: x³ + 6x² + x+2 s ax + In[cx + 1}*(x² – x + 1)°| + fx-1 Tan-1. V3 The resulting integral of x³ +1 +…

A: use simple integration formula.

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Q: Find the general (real-valued) solution of the following differential equations. If an initial…

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