et dx Ve2* +1 2x

Q: 1メー 3.)*-12 dx (スータ)

A:

Q: e2t dt dr 2

A: According to Leibniz rule(differentiation under the sign of integration):

Q: |(9 – x²) dx

A:

Q: S, 53-2x dx -2

A: 4 Given  ∫-22  53-2x  dx

Q: Sx(2x 3)®dx

A:

Q: dx -4x-7

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Q: ху dx + 9ху dy — бу?dx — 2x?dy %3D0 -

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Q: rtan (cotx) dy dx = d. 15 10n a. 44 b. 44 C. 44

A: As per our guidelines we need to solve only one question. Please repost the remaining questions as…

Q: 1 Question #9) dx x2 + 2x + 10 1 Question #10) x3 – x² – x – 15

A: 9. Given integral isI=∫-∞∞1x2+2x+10dxThe integral is evalauted using Cauchy Residue Theory as shown…

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: 27 (" Vsin 2x dx = ?

A: Let  I = ∫02πsin22xdx After applying exponent rule a2=a, we can write  I=∫02πsin2xdx Now we need to…

Q: 3x dx - 25

A:

Q: dy dxl2 Determine if y = 3u? + 2u and u = Vx? + 5.

A:

Q: Evaluate () ex dx, (b) (5) 2 -2x dx.

A: Note: We'll answer the first question since the exact one isn't specified. Please submit a new…

Q: Evaluate: ³4₁ [2³(x + y)³] dz dy dx

A: To evaluate the given integral.∫-43∫-12∫01z3x+y3 dz dy dx

Q: I need help because due tmr I dont know how to do this

A: Question 4: The graph of the function is shown as:   y = - 3 x4

Q: dx 4+e¬*

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: dx 2+

A:

Q: dx V4 + x²

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Q: et – 4x2 dx = 4 + С. +

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Q: Evaluate: (4) S esc" (a) (2x +1) dx C6) Syos y dy

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

A: We need partial sum method with constants A,B,C

Q: In the last part of step 1 for ds/dx, where does the 1 under the square root go? Why does it just…

A: Let's solve.

Q: S Fx)dx=2a - 5b, then fx)– 2]dx=?

A: Given∫abf(x)dx=2a-5b

Q: Integrate the following: dx 1. a) V9x² +12x-5

A: Solution:-

Q: iez3 dz. ty z – i

A: In this question, we need to find the value of complex integral. Here first we find the contour and…

Q: dx V4 – x² 4.

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2. Jx2Vx3 – 27 dx -

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: メ+4 dx x²+4

A: Given:       ∫x+4x2+4dx      =∫xx2+4+4x2+4dx Apply linearity:      =∫xx2+4dx+4∫1x2+4dx

Q: What is d/dx e7x?

A: We have to find the derivative  with respect  to x.

Q: A ezbx? dx 2

A: As per our guidelines we are supposed to solve only one question. For the solution of the first…

Q: 다을+1) dx 5. -4

A:

Q: 6x V100–x* -dx 3D 4

A:

Q: dy 16t dt

A: answer is in next step

Q: rtan can-(cotx), dy dx: 10n a. 44 b. 157 44 20n с. 44 2. d.

A: As per our guidelines we need to solve only one question. Please, repost the reamaining questions as…

Q: dv + 2x * v = x³ dx

A: We have to solve the following differential equation -  dvdx+2x·v = x3

Q: Vt2cost dx '8 -S dt 13. Evaluate:

A: We can use the fundamental theorem of calculus in order to solve the given problem.

Q: Find dx' 8x-4 %3D

A: We have to solve

Q: SxVx² – 1 dx

A: Given that a integration and we solve by using general property of integration . We know that…

Q: c) Evaluate [xV2–x? dx by using substitution method.

A: Integrate by substitutions

Q: 8(-x*+6x) (x5-15x²+4)3 dx Integrate.

A:

Q: Evaluate the defin c12 4e 4*dx 3.

A: Given:     Integration of 4e4x from 3 to 12 limit.

Q: 12sin3xcos7x dx

A:

Q: ~2 (c) V2x + 3 dx 0,

A:

Q: S,12x – 3|dx 3. -

A: ∫04|2x - 3|dx In the limit 0 to 4, we need to open the modulus sign: fx = 2x - 3 = 0   ⇒ x = 32  So,…

Q: dx -M-1) du Adx %3D

A: Differential equations

Q: a) j (b) (c) (

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

Q: Vsin² 2x dx =?

A: Given ∫02πsin2 (2x) dx Remember sin2 (2x) is always positive. Thus, sin2 (2x) should be positive for…

Q: I.e * dz

A: We have to find the value of integral so, for that we will use the ILATE rule which states

Q: dx

A: Put

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.