33) 2xе3x dx - 00 14 A) - 3 B). C) 9 D) diverges

Q: Evaluate the integral using FTC I.

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A: Given : ∫5xe-3xdx

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A: Solution

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Q: Evaluate the integral using FTC I.

A: To evaluate: The integral of . Formula used: Power rule of integration:

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A: By using inequality of integration

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Q: Evaluate the integral using FTC I.

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A: Given,            ∫t2t2+11dt

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Q: Use the indicated substitution to evaluate the integral. 42csc (7x)cot (7x)dx, u=7x 42csc (7x)cot…

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Q: Evaluate the integral using FTC I.

A: The given integral is ∫-32 u2 du. It is known that ∫ u2 du =u33+C.

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Q: Evaluate the integral using FTC I.

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A: ∫ un du =un+1n+1+C

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A: Given integral, ∫x3x4-650dx Evaluate by substituting x4-6 for u in the given integral.

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Q: Use an appropriate contour integral to evaluate the following real integral rinfinity (26 – 8)dx Jo…

A: Given, integral is as, ∫0∞x6-8x4+5x+42dx  I=12∫-∞∞x6-8x2+12x2+42dxconsider…

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Q: 2. Use Cauchy's Integral formula, Evaluate the foll D I - & tantz Z² C: 171=1

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Q: Apply Green's Theoren to evaluate the integral. C6x+y) dx + (3xy"+4y) dy ter

A: Given integration is ∮c(6x+y3)dx+(3xy2+4y)dy C : Any simple curve in the plane for which Green's…

Q: Use the given substitution to evaluate the integral.

A: Given integral: ∫sec22θ tan2θ dθ

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Q: Graph the integrand and use geometry to evaluate the integral. jua 8x dx А. 48 О В. 144 OC. 288 O D.…

A: The graph of the integrand is drawn in black colour in below graph, and the red region indicates the…

Q: Evaluate the integral using FTC I.

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Q: "(2 - sinoy de

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Q: O Evalu ake I dx

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Q: Evaluate the triple iterated integral. LLL Jo π/4 6 6-r rz dz dr de

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Q: Evaluate the integral using FTC I.

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Q: Evaluate the integral. dx dy dz O 168 84 O 252 O 28

A: The given integral is: ∫1e7∫1e6∫1e21xyzdx dy dz Let, I=∫1e7∫1e6∫1e21xyzdx dy dz

Q: Evaluate the integral Sr 8ry dA, where Ris the triangle 8x + y 0, y > 0.

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Q: Evaluate the integral. 6x * de +C 17e -

A: The value of the given integral is 18x1/3 - 17ex + C

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Q: Evaluate the improper integral da, if it exists. (22 + 49)2

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Q: Evaluate the integral using FTC I.

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Q: ir a unit circle centered at 7=1) (2 -17

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Q: Prove that the area of the cardioid 3 r = a(1- cose) is , πα?. 2

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Q: Evaluate the integral using FTC I.

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Q: (24 — бх) dx 14

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Q: Evaluate the integral using FTC I.

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Q: evaluate the integral no u sub

A: Given :          ∫56xdx

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A: Here we have to evaluate the given improper integral.

Q: Use integration by parts to evaluate the integral: 3. In(r) dr r8 .020327 %3D

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Q: Evaluate the integral using FTC I.

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Q: 4) Show that the circumference of the unit circle is equal to 1 1 dæ (an improper integral) x2…

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