Q1: what is on (3x) SI2 dx x2

Q: Evaluate: (answer in fractional form så S sinº x dx 0

A: To find the value of given definite integral ∫0π2sin6xdx

Q: dx J (x² + 2x – 10)²

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Q: a) S xe3*dx = ? to %3D b) s dx ? (x-1)3 8-

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: dx J 2.x² – 3x +9 Зх + 9

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Q: 1 dx J 74+4x²+4

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Q: J dx 4+x²

A: Given,            ∫14+x2dx

Q: d) Evaluate sech? (2x) e'anh(2x) dx by using a suitable substitution.

A: Given, I=∫sech22x etanh2x dx To evaluate I using suitable substitution.

Q: What is the value of I V16 – x² dx?

A: The definite integral ∫-4416-x2dx can be solved by applying the trigonometric substitution . Let…

Q: 19. What is the equivalent value of *Vx+ Tdx 20. In evaluating (&+ Idx x dx which one is to be used?…

A: The solution for the above question is as shown below.

Q: Q5:A/ Find In x dx XVIN? x + 1

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Q: Q.4 (a) Evaluate (+4+16r²+20x+9 dx. (x+2)(x +3)?

A: Let us solve the integral ∫3x4+4x3+16x2+20x+9(x+2)(x2+3)2 using partial fractions.  The denominator…

Q: So d e2x 0 e2-5 dx is equal to

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Q: In Jx2/25+ x² dx , we let x= 5sine. A True B False

A: Note Since you have asked multiple question As per our policy, we will solve the first question for…

Q: Evaluate the integral (Trigonometric Substitution) x*dx (x² + 9)2

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Q: Use the trapezium rule, with 4 strips, to estimate ? e−x2 dx on [0, 2]. What is the maximum error?…

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Q: dx J. (3+x²)$/z

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Q: I. Differentiate implicitly to find 1. x3 +y3 10 dx xp %3D 2. x2 + y? = 25 %3D 3. x3 y5 %3D

A: Disclaimer: Since you have posted a question with multiple subparts, we will solve the first three…

Q: Suppose that (x) dx=3 and g(x) dx=7, then what is 1 8. 8 the value of (х) dx ? 1

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Q: What is the value of 7x (-a* + 1)* dx? Enter your answer as an exact fraction if necessary.

A: Given:    ∫017x3-x4+14dx

Q: 4- [10 points] Evaluate Jx²4** dx

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Q: x +2 . Determine the value of dx using method of substitution 1x* +4x+7

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Q: a2z If z = In(x² + y²), find a²z + dx2 ду?

A: Given, z=lnx2+y2

Q: Determine the value of 6 L 9f (x)dx given that "f(x)dx = -7 11 9,

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Q: 21. Jo 0 dx (x + 1)(x² + 1)

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Q: 3 Evaluate: ³₂²₁²[z³(x + y)³] dz dy dx

A: When a triple integral is performed, then the innermost variable is integrated first, then the…

Q: S x³ e ³x dx

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Q: 5 (a) | x² In(2x) dx (b) x'e*dx 'xp, Jo

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Q: If f(x)dx=10 and | (x)dx=3, then | f(4 – x)dx=? %3D

A: Given that: ∫-26f(x)dx=10 and ∫26f(x)dx=3

Q: Find the antiderivative of dx/(49x2+16)2

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Q: Use the Trapezoid rule to approximate: dx; n = 8

A: Since you have asked  multiple questions  so as per guidelines we will solve the first question for…

Q: 8e 2* dx Using an appropriate substitution, evaluate:

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Q: За? + 2 dx J x³ + 2x + 10

A: We have to solve

Q: 56 Given that: S V56x - x² dx Find the value of m

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Q: dx (1+x2

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Q: evaluate using the suggested method.

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Q: Sx³ In(x+4) dx

A: Solution is given below:

Q: If ƒ x Inx dx = x² In x – S f(x)dx, what is the value of , 4f (x)dx?

A: Integration is the process of finding the anti-derivative function of the given function.…

Q: Evaluate [(x² +2) dx , using Trapezoidal rule, by taking N = 8.

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Q: e. (3х — 2у?)dx —- 2хydy %3D 0

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Q: using the attached, find f(x) 2x2+3 2x2+2 x2+3x x2+2x

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Q: 2. dx tanx 4t² dt

A: To differentiate the given function.

Q: (a) Use n = 6 subdivisions to approximate the value of Vx + 3 dx by the trapezoidal rule.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: x2 — х + 36 dx х3 + 6х

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Q: J dx 4 + x² =

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Q: Without using a calculator, determine d/dx{2e^3x *cosh 4x−e^7x} in simplest terms.

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Q: dx. J x² – 6x + 34

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Q: OUse the undetermined coefficient technique to solve d²y dy + 10 + 25y dx 14e-5x dx?

A: Consider the given function d2ydx2+10dydx+25y=14e-5x. Obtain the general solution of the given…

Q: Given that: 0 V40x – x² dx Find the value of m

A: From the given problem: I=∫04040x-x2dx So, we can also write as: ∫04040x-x2dx=∫040-x-202+400dx...1…

Q: 3 Differentiate the expression (x + y )" with respect to x. (Use D for 2). dx

A: