0. Given that 15x V x2 + 4 dx = 25/5 - 40, what is 15uV u? + 4 du?

Q: 5). S 13+1)E dx (Improper Integral)

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Q: Evaluate the following integral.

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Q: (x– x'ye" )dy – dx = 0

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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: 9. If y = sinh 4t and r = sinh t, show that 2 dy (a) (1+2²) = 16(y? +1), dr dy (b) (1+x²)- dx2 dy…

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Q: 43. (In z)² dx

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Q: I. Evaluate the following integral: 1. S dx 3 2х+7 2. S y²e2-2y* dy 3. S sec? (4 – 3x)dx

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Q: S 4x cos(2 – 3x) dx

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Q: 4) Evaluate the definite integral: S, (6x² – 3x + 7)dx.

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Q: Find P.I of the given d'y 5. +6y ex dx sdy dx?

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Q: 1 (1 − 2x)3 dx   0

A: Given that: ∫01x dx=12, ∫01x2 dx=13,∫01x3 dx=14 To find: ∫01(1-2x)3 dx

Q: The value of the double integral 7 1 4xy dy dx is 4

A: ∫46(∫274xydy)dxIntregation wrt y so x will be constant.⇒∫46[4xy22]27dx ⇒∫462x(49-4)⇒∫462x(45)dx

Q: 5) Find the general antiderivatives for the following; х-1 dx x* +2х-3 -dx 6)

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Q: 4 5y²-8X+6) dx =?

A: To evaluate the given definite integral

Q: QUESTION 1. EVALUATE. J 1 dx V9x2+4 In (/9z² +4+3zl) +C 3 ||

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Q: to determine the approximate value of v(1+x³)dx

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Q: Evaluate Si S dz dæ dy 0. 4.

A: Here I am attaching image so that you understand each and every step.

Q: 3. (4 pts) Find the exact value of each definite integral. 4x5 dx (b) dt

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Q: Show for Re(z) > 1 -dx r(2) ((2). 1 er 0.

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Q: Show that the value of Vx + 8 dx lies between 2V2 - 2.8 and 3.

A: According to the question, we have to prove that the value of integral ∫01x+8 dx lies between 2.8…

Q: 4 S* (2x -6)° dx= S f(uldu where du = a 6 = f(u)= The valve of the original integral is

A: We have to solve the given integration

Q: Find the most general antiderivative. 2 7 dx X+1

A: By using integration formula, we calculate the given integral.

Q: Solve the following Exact DE using Method of Grouping. 1) (2xy + 1)dx + (x² + 4y)dy = 0

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Q: 2/3–2 dx integralinin değeri x² + 4x + 8 aşağıdakilerden hangisidir?

A: The integral can be solved using completing the squares method. Since the integration is definite…

Q: -2 Evaluate the integral: ² ft² n s teu du ds dt

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Q: Evaluate the double integral : (x + 2y – 5) dy dx 4 00

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Q: S B+1F dx (Improper Integral) (3x+1)?

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Q: 3. Evaluate the integral: (1) (u-2)(+3) du @[²7/1 dx (3) rπ/3 cscxcotxdx

A: Use the following formulas 1.∫xndx=xn+1n+1+c2.∫ cscxcotxdx=-cscx+c

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to 8 | (- 2* + 20z – 96z?…

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Q: (4x'y – 15x? – y )dx +(x* +3y² – x)dy=0

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Q: O Question 17 Evaluate the integral dx (7x2 + 1) by making the appropriate substitution: dx = (7x2 +…

A: Solving

Q: (22 + 3?) dx – xy dy = 0 O 22 In () = y² 2a In() = 3 (금) %3D 22 In(을) %3D P O a² In ( ) = y?

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Q: Evaluate the exact value of the multiple integral. 3z (2y 24 sin(2x) dx dy dz -y

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Q: Given the integral (9x * e12x dx and the substitution information u = 9x du = 9 dx V -e12x 12

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Q: 3. Evaluate 2y²sinxy dy dx 4. Evaluate , S sin(x² + y²) dy dx

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Q: 1 If y = tanu, u=v--, and v= lnx, dy at x=e? dx what is the value of Select one: a. 0 O b. 1 1 C. d.…

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Q: The integral 4 dy dx is equal to: Select one: 12 6. None of them

A: To determine the value of the integral ∫03∫014 dy dx.

Q: dx (b) . +2) (x +3)

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Q: 3 dx 7 1 dx dx {an}n=1 %3D 3 5. dizisi için aşağıda verilen bilgilerden hangisi doğrudur?

A: A series is convergent if the series approaches certain value when the value of x approaches its…

Q: luate 2 Af ² (x-1) 25 dx 7 S² √4+3x dx 1 x² (1+22³)5 dx esinx cosxdx O 플 the definite O inte

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Q: 1. So dx 2. 3. x² (x+1)4 fxcos2xdx 4. TL TT TT Sễ sin²4ycos²2ydy sin*xcosxdx

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Q: evaluate the given integral.

A: The given integral ∫2x+1xx2+4dx can be evaluated as, ∫2x+1xx2+4dx=∫2x2+4dx+∫1xx2+4dx The integral…

Q: Given that 1 dx = and x2 dx = , compute the integral. x dx = 4 2' 3' La - 20?. (1 – 2x)³ dx

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Q: Q1/ Evaluate 1 dx Jo 1+x² using Simpson's 1/3 rule Simpson's 3/8 rule i- ii-

A: Simpson's rules are techniques of numerical integration. Both 1/3 and 3/8 rules are explained in the…

Q: 4) Evalvate the integral E 4 1+x² dx

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Q: 1 (In(11) xy e*y² dxdy

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Q: Using Simpson's method Vx dx for n=4 is equal to

A: We have to evaluate ∫01xdx for n=4.

Q: Q/ Find an integating factor for the diff- equ. 2y dx + (3y-2x)dy20? to

A: Conversion of non exact differential equation  to Exact differential equation. Given differential…

Q: Find dy/dx by the implicet differentiasion x2+y2=64

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.