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## Related Calculus Q&A

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Q: (1–/3i)2015 4028 [V2cis(쯤)] = Z

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Q: . Evaluate using integration by parts 8. (5x - 3) sin(12x)dx = TC 6.

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Q: (b) Use Integration by parts to show that ·4 In x ~dx= =-+2ln.x) +C

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Q: What change of variables would you use for the integral ∫(4 - 7x)-6 dx?

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Q: 76. Use integration by parts to obtain the formula VT=* dx = +VT=x + 1 dx. 1 – x?

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Q: 1 Use the integration formula ax dx = ax + C to find 4* dx and simplify. In(

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Q: Solve the integral. 1 dx 6. 3x2 + 2x + 1

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Q: By using the substitution u = VT + 2, evaluate 6+ 3 dx. ¤(/I+2)²'

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Q: Find the Integration of 1 dx. (6x+7)6

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Q: Use the substitution x = 5 sec t to evaluate the integral / dx xVx2-25

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Q: I- USE THE INTEGRATION BU PARTS TO FIND : 1- lx -Jcx.cosX).dx 2-

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Q: Given the integral 8 dx 5x2 - 3

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Q: Use trigonometric substitution to solve the integral V22 + 10x + x² dx

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Q: Evaluate the integral -9 dx Vx² + 16

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Q: 19. Use integration tables to find J(6x +7)*/(6x +7)² +16 dx

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Q: 3. Determine the complete solution using MVP: - cot(2:) dx

A: Given the differential equation

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Q: Given the integral 8 dx 4x - 5

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Q: (a) Determine S 2xe3*dx by using integration by parts.

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Q: Solve using integration by parts: a) ſeºsin(0) dO

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Q: Use integration by parts to evaluate the integral. 729x cos(9x)dx

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Q: Evaluate the integral 2.x2 + 6x + 5 dx, x2 + 3x + 2

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Q: Evaluate the integral 1| (3æ³ – 2æ + 5)dæ 2x + 5)dx - 0,

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Q: Use FTC I to show that x" dx = 0 if n is an odd whole number. %3D Explain graphically.

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Q: Evaluate the integral: 16 2 +1 dx. Vt 4 Round your answer to the nearest tenth.

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Q: The integral 9x? – x3 – 18x dx MUST be -1 evaluated by breaking it up into a sum of three integrals:

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Q: Evaluate by Integration by parts (IBP): 4. x° cos 2x dx

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Q: Use integration by parts to evaluate the integral. 729x? cos(9x)dx

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Q: Evaluate the integral. 1/2 dx 2/4 xV 16x2 - 1

A: Given: ∫2/41/21x516x2-1dx

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Q: Evaluate using integration by parts. 1)x2 In 6x dx

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Q: Evaluate the integral 2x2 + 6x + 5 dx, x2 + 3x + 2

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Q: The integral 2n 8xe-x2 can be done with the substitutionu = and du = dx dx.

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Q: Se²(x² + 2x dx by using the integration by parts. Q4 Evaluate ,2x

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Q: The value of the double integral 45 dx dy is – 1890 1890 945 945 -

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Q: Use integration by parts to find, x cos2x dx 프2

A: Consider the given integral which is required to solve using integration by parts.

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Q: Solve the integral. dx 6. - Aear V1 – 4e2x

A: ∫dx1-4e2xFormula:∫dx1-x2=sin-1x+C

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Q: Solve the integral. 1 -dx 6. 3x2 + 2x + 1

A: Here, fx=13x2+2x+1

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Q: Evaluate the integral. 2x2 4 dx = V2 6x

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Q: Evaluate the integral: 9e3x dx е3x Vебх — 25 -

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Q: 4. Describe in detail three separate ways to find /. Evaluate any two of these to show that they are…

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Q: Evaluate the integral. [ 4 cos4 6x dx

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Q: Evaluate the integral. [ 4 cos4 6x dx

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Q: use a geometry formula to find the exact value of the definite integral (-2x+4) dx on the interval…

A: We have to find the exact value of the definite integral (-2x+4) dx on the interval [3/2,1/2]As a…

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Q: Evaluate the integral dx (7x + 6)2

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Q: Evaluate the integral sec^4(3x) dx.

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Q: Evaluate the integral 3. 2х dx х2 — 4

A: Will use substitution to find this integral. Substitute x square - 4 is equal to t.

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Q: 1. Solve, using the method of variation of parameters: y" + y = sec 0 tan 0

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