Using Integral Factor Resolve: a) x²y' + xy = 1 b) y'+ y=e3x

Q: Evaluate the integral. (Use C for the constant of integration.) 33 + 8x – x² dx

A: Given integral, ∫33+8x-x2 dx

Q: Use the method of integration by parts to find

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Q: Find the area bounded by the parabolas x2+y-9=0 and x2-8y=0   (SOLVE BY USING INTEGRAL CALCULUS)

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Q: (c) Evaluate * sec x tan x dx using the table of standard integrals.

A: a) i) It is required to find ddxetanx. Differentiate etanx with respect to x. ddxetanx=etanxddxtanx…

Q: Find the 1st quadrant area bounded by y = vx – 2, X and x = 11 Provide a sketch; show 2 solutions…

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Q: (8 - 3x2) dx. Given that dx = use this fact and the properties of integrals to evaluate

A: Given: ∫01x2dx=13 The objective is to evaluate the integral of ∫018-3x2dx

Q: Determine h and N to approximate the integral e-t" dt within an accuracy of G 10-5 using the %3D (i)…

A: ∫01e-t2 dt a) Composite Trapezoidal Rule Error=h2b-a12|''Cn ⇒EnTt≤10-5 calculating the derivative;…

Q: Use integration by parts to evaluate the integral: fin(2) - V/="da = ,11

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Q: Evaluate the integral ſ sin x dx by the method of geometry.

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Q: Using residues, calculate the improper integral 1 dx . 1+ x4

A: By using residue theorem the above integral is solved as follows

Q: Question Using integration by parts, the integral f In(8x²) dx is equal to:

A: Please see the answer in Step 2

Q: a) Evaluate the indefinite integrals using Repeated Integration by parts i) fx²e-2*dx ii) fx?Sinxdx

A: We have to evaluate the given integration.

Q: x sin (x²) cos(x²), from a = 0 to b = 3. Estimate the integral of the given function, using %3D…

A: The given function is fx=xsin3x2cosx2. Here, a=0, b=π2, and n=8. We have to approximate the integral…

Q: Use the table of integrals to evaluate the integral. (Use C for the constant of integration.) 9…

A: Follow the procedure given below.

Q: dz 4z+z' ,2

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Q: sec² 0 de. 1- tan 0 Evaluate the improper integral:

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Q: 9. f(x³ - 4x)dx -3 (x²-1) dx 10. ₂

A: We have to find the integral

Q: Givm trapgoidal rule with h =0.25 by Using apploximate the integral.

A: The solution is Given as

Q: Use geometry to calculate (without integrating): o V16 – x2 dx Note that f (x) = v16 – x² is the top…

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Q: S Vtan x sec“(x)dx Evaluate the integral a

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 92. Prove the integration formula | cotx dx = – In|cscx| + C (a) by using algebra and integration by…

A: Integration is the process to obtain the anti-derivative of a function. Definite integration of a…

Q: Evaluate the integral. (Use C for the constant of integration.) 3 tan (2x) sec (2x) dx

A: Given that: ∫3tan3(2x)sec5(2x)dx

Q: Solve fx² In(x) dæ using Integration by Parts. Use u = In(x) and v = x?. Answer:

A: Topic = Integration

Q: Evaluate the integral. (Use C for the constant of integration.) 11 tan“(x) sec (x) dx

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Q: 02:- By using integration by part, find :- (Choose two only) 2-f Inx (x') dx

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Q: A cylindrical shell has a thickness of 0.2 cm. Using differentials, approximate the volume of the…

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Q: * Using integration by parts, the integral sec dx is equal to @ secx +nlsecx + tanx| + C 1 1 secx+ A…

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Q: Evaluate the integral. (Use C for the constant of integration.) 1- 36x2 dx

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Q: Use integration by parts to evaluate the integral. (Use C for the constant of integration.) In(5x)…

A: Given , the integral We have to evaluate the integral by using by parts formula.

Q: Solve using iterated integrals. (with graph) Find the area bounded by the circle x2 + y2 = 25, the…

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Q: 1 On3º do

A: Recall: ∫axdx=axln(a)+C integration by parts: ∫udv=uv-∫vdu

Q: Evaluate the integral. (Use C for the constant of integration.) 16 In(Vx) dx

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Q: Evaluate the integral. (Use C for the constant of integration.) 7 (1 – tan²c«) dx sec?(x)

A: NOTE: Refresh your page if you can't see any equations. .

Q: 1 1-x Change the order of integration and then evaluate the integral: fx dydx X Jx-1

A: We draw the graph of the limits of the integration then we change the order accordingly

Q: sec? (4x)(3 – tan(4x))³dx

A: Given integral is,  ∫sec24x3-tan4x3dx. Substitute t=3-tan4x.…

Q: Evaluate the integral. (Use C for the constant of integration.) x2 - 64 dx

A: The given integral is ∫x2-64x3dx. Let us assume u=x2-64 and v'=1x3. Differentiate u with respect to…

Q: Evaluate the integral. (Use C for the constant of integration.) 3 + 2x - x2 dx

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Q: Evaluate using integration by parts. .5 x° In (x)dx x° In (x)dx=| (Type an exact answer.)

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Q: p) By using integration parts, show that i. S(In x)²dx = x(In x)² – 2x In x + 2x + C.

A: As per guidelines we have to solve one question Please repost other questions again

Q: Use trigonometric substitution to find or evaluate the integral. (Use C for the constant of…

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Q: Evaluate the integral. (Use C for the constant of integration.) 7-6x - x² dx

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Q: Evaluate the integral. (Use C for the constant of integration.) 16 tan (x) sec (x) dx C must be in…

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Q: 4 -dx is divergent. 1-2х (b) Show that the improper integral

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Q: Evaluate the integral. (Use C for the constant of integration.) | tan (x) sec (x) dx Work must…

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Q: 2 V2y-y2 Evaluate the integral x²+ y²dzdydx by using cylindirical coordinates.

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Q: Use integration by parts to evaluate the integral. (Use C for the constant of integration.) In(4x)…

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Q: Evaluate the integral. (Use C for the constant of integration.) 13 dx xV 9x2 - 1

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Q: Evaluate the integral. (Use C for the constant of integration.) 27 – 6x – x2 dx

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Q: Evaluate the integral. (Use C for the constant of integration.) 4 +6

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