e (1? + Зх — 4) dx. 4) d.r.

Q: 9. z In(1 + x²) dx

A: As mentioned to solve only question number 9.Question number 9,Given,          ∫xln1+x2dx

Q: d 14t5 dt = ? 7. dx 1.

A: Please see the answer in Step 2

Q: Evaluate the integrals

A: Evaluate the integrals   29. ∫8 dx(4x2+1)230. ∫6 dt(9t2+1)2

Q: - x- cus x, y'l0)= 2, ylo): -2.

A:

Q: 27 dx 100+49e4z

A:

Q: e vE dx . Evaluate 8

A: Solving the given problem using the concept of improper integrals in order to solve the given…

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

A: Let,

Q: 9) Sexte*dx

A:

Q: 4-S cosh? Vx dx x csch vx

A:

Q: Pro ve 8さt(.)る %3D (Srh)(らtM ー7 \et: ヒこe

A:

Q: -1 dx 21 16

A:

Q: 4 dx 21

A:

Q: 3 dy

A:

Q: dy ー1

A: Given:

Q: (2x2 ox s} dx +x + 0. O 70 13 O 17

A: To evaluate the integral: ∫032x2+x+5 dx Solution: Power rule of integration states that:…

Q: Evaluate the integrals in Exercises

A: In some cases a substitution can simplify an integral to a standard integral. For example the…

Q: 1 dx, x > 2 x2 Vx2 – 4

A:

Q: cosh(lnx)dx 4. f 5. [* cosh vxdx 6. Jo Sm 10 4sinh? () cosh ) dx

A: Solve the three questions.

Q: 4. I'e dz 5.

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

Q: If z = 3x2 + y² and (x, y) changes from (1, 3) to (1.05, 2.9), compare the values of Az and dz.…

A: Given, (x,y) changes from (1,3) to (1.05, 2.9) f(x,y) = z = 3x² +y²

Q: Calculate MN and TN for the value of N indicated.

A: Solution Given∫0π2sinxdx   , N=6we need to find the MN and TN for the value of N indicated.

Q: 70. Use the fact that (b*) = (In b) b* to prove that (ek*) = dx dx kekx. ||

A: Differentiation rules help to prove the required. The given fact helps to prove the required. Chain…

Q: 5) ye"dx = (4 + e²^)dy

A: Given the differential equation

Q: gener dx 1+2y? (6 marks)

A:

Q: /49 — е2 dz – e²

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Q: 4 dx O) 2 + 5x – 14

A:

Q: et dxl 1+64e?x

A:

Q: 9. J et dx 10. 4лr² dr

A:

Q: 9. dx over [-6, 6] 9+x?

A: If fx=f−x then the function fx is even function. The formula to integrate the even function in…

Q: cln 2 In 5 e2x+y dy dx Jo 1

A:

Q: 1 + cosh 2x 9. cosh? x 2

A:

Q: What is d/dx e7x?

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

Q: proof that [1] × [l, = [7].

A:

Q: Evaluate. (Be sure to check by differentiating!) et dx 30. 4 + e*

A:

Q: 1 -dx (г?) — 4г + 13

A: Here, we need to evaluate the integral ∫1x2-4x+13dx

Q: 312 Z+3) dx 112

A: Given: ∫12324x3-6x2+3 To find: The given integral.

Q: integrate the following using the substitution 1.)  ∫ ?^5(9z^6-7)^8 dz 2.)∫(5 − 3?^7x)^1/3 e^-7x…

A:

Q: what chorces for 4, dv simplify, will x In Cy) dx vsing integrat by parts lON

A:

Q: 11. S ye-y°dy

A:

Q: -133x So 33x dx 0.6698 0.6670 0.6671 0.6699 O

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Q: e2 º In(2) dzr

A:

Q: Q2: Use trig substitution to find 2 + 4x +5 dx

A:

Q: Find dy/dz by differentiating implicitly if z2 + y = 100. Answer:

A:

Q: for power substitution method, next step is For S dx xp: 4u³dx 4u³dx 1+ u* 1+ (u*)ã Option 1 Option…

A: Find your answer below

Q: 3 Given that ex dx = e³ – e, use this result to evaluate 7ex + 4 dx.

A:

Q: d 53. cosh? (9 – 31) = –6 cosh(9 – 3t) sinh(9 – 3t) dt

A: Given derivative is ddtcosh29-3t.

Q: V 16 + (In 8x)2 dx

A:

Q: Explain why de 1. dx 1. Va³+5

A: Comparison test for Integral

Q: e. 1 +i+?+

A: The collection of complex numbers represented on a plane. it is also known as arg and diagram. let…