Consider , xe* dx. What will be the appropriate solution and answer to this improper integral? lim,- lim,-

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Q: limg-0 2x sinx 4-4cosx

A: We can find the limit as below, using L'Hospital rule.

Q: Give a geometric argument that explains why the integrals have equal values.

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Q: The region bounded by the graph of y = x²VIn x and the x-axis on the interval [1, e] is revolved…

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Q: Give a geometric argument that explains why the integrals have equal values.

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Q: u= 4-xneduce the ntegral to standand ferm Sonm dx 4-x)=

A: ∫x64-x72dx In this problem we need to reduce the given equation into standard form and solve the…

Q: Vx+1- /2x x² - x 2х f ) lim x→1

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

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Q: 7. -4 3. ) -3 7. 1) 10. 2)

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Q: dr Vr - 9

A: Given: I=∫drr3-9   ...1   As we know that; The Power rule: ∫xndx=xn+1n+1+C And ∫1ax+bdx=1alnax+b+C

Q: Luse integnal a stande substutuon to educe the 3(3x+12) dx,u= 3X +12 du 3,2 * du= 3,2dx

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Q: – dx x Inx x²+1

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Q: 1 .2 2 dx = 0 xe 0- -

A: Given: 12π∫-∞∞xe-x22dx=0   We know that; ∫eax+bdx=eax+ba+C     Note: As per Bartleby guidelines we…

Q: 21.3 xdx V16 - 9х4 0.

A: We to integrate the given integration.

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Q: Evaluate functio J dx x² - 6x + 13

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