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

Q: Q4 If f (x, y) = x sin y + ey asf ax2ay3 Find

A: Let's find.

Q: xpáp -1 dydx In(y)

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

Q: f (t) = 3e" cosh (In 2r -2t

A: Given,                 f(t)=3e-2tcoshln2t

Q: Evaluate | (6x² +2y²) dx + 4xy dy, where C is given by x = t. y = t,

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Q: dx is x V16x2-25 3.

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Q: Evaluate the followingintegrals.

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Q: 3. 9. dx Sx+I

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Q: Evaluate: ²₁¹ [2³(x + y)³] dz dy dx

A: Topic = Integration

Q: Use the trapezoidal rule to find AT using the indicated value of n. 8 dx; n = 8 2x2 +2

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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: 432 SSS2dx dy dz 101

A: the given integral is triple integral .

Q: x*dx (x² + 4)2

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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: The result is calculated as follows. '1 +5/8 dx 8_y13/8 . 13 = F(1) – F(0) - 0 II

A: Let I=∫01x5/8dx

Q: Q1. Evaluate by substitution method 2 e*dx 1 – e2x |

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Q: S: dx V4 + x² (a)by parts, letting dv = dx V4 + x² (b)by substitution, letting u = 4 + x2 3.

A: Integration basically means to find the integrals, i,e. to assign numbers to function in such a way…

Q: d? -(sin-'(x²)) dx2 2– 4x4 A 3 2– 2x4 B 3 2+2x4 3. 2+4x4 D

A: Here we have to use the concept of derivative

Q: if dx =3 then k =2e3 %3D - Select one: True False

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Q: Using the substitution Z=V x+2, the integral xVx+2 dx is equivalent to | 2°(?+ 2) dz 1 | 22?(z?+2)…

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Q: 1 dx VI+ 7x 14. 0.

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Q: O Find (a) |VT-x)/x dx, (c) (4-x*y² dx. Ans, ía) 1/60, (/) x/2. (c) 31

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Q: Sf(x)dと SgCx)dx, suppeat 9 Explain why SfC dx 7 goa) Counter ekample to やU8e a your claim .

A: Use substitute rule unless the integral can be simplified and directly evaluated. Counter example is…

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: Determine the antidifferentiation of (3xc + ed - (4/x)) dx  (where c; d are real numbers and c does…

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Q: dy Differentiate implicitly to find 6 5 3) x y+9x = 6y +4 dy

A: A detailed solution is given below

Q: b) Is f x(x² + 1)dx = ( + x) + C true or false? show me

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Q: Q3. Find dt 4x – 2 dx x² + 20 4t

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Q: +y ntegral %% 0 0

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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 ∫k3 f(x) dx given that ∫313 f(x) dx=−3 and ∫13k f(x) dx=4?

A: Given:The integrated values

Q: 4- [10 points] Evaluate Jx²4** dx

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Q: -3y(In x)' +3x* (In x) y' =0

A: First simplyfy the given differential equation.Then taking integral on both sides and solve it.

Q: If f(x) dx 37 and (x) dx = 14, find [4f(х) + 69(х)] dx. %3D

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Q: Q2: Find for y= (4x² +12)²(3x-20)² dx

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

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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: NOTE: Enter the exact answer. 7 V49–x² r65-a²–y² x dz dy dx 0, –33+x²+y²

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Q: • ["* [*, [° 42²y — 2²³ dz dy dz J1 1. Evaluate

A: NOTE: As per our guidelines, I have solved the first problem. If you want the answers of rest,…

Q: f Srwdx= 10 and [ f(4 – x)dx=? f(x)dx=3, then

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Q: Q2 by using Simpsons Rule method to find ,n=6 5 1 dx х 2

A: use sub interval for finding the integral.

Q: dy Find ax if y = V6+ secnx² %3D O 1) nx(6+ tannx?)-1/2secTx?tannx? O 2) nx(6 +…

A: We are given y=6+secπ x2. So,            dydx=6+secπx2'      =126+secπx26+secπx2'      =126+secπx2·…

Q: Evaluate. 3 If f(2)dz = and 9(=)dz = - 1 what is the value of g(x)dx [6f(x) + 29(z)]dz =?

A: Topic = Integration

Q: 8. If f(x) dx = 10 and f(x) dx = 3.7, find %3D f(x) dx. Answer:

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Q: evaluate using the appropriate method or combination of methods.

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Q: 5x 3 Evaluate: fffdz dy dx 2

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Q: (b) Given that, V2x + 1 and y = 1, when x = 12. Express y in terms of x. %3D dx

A: Topic :- Differential equation

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

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Q: 5. For what value of k, k> 0, does (6kx-2k) dx = -k³ ? о 1 02

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Q: 2 4 dx J x/3(1+x²/3) 3 gin

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