Find aY and simplify the resuit whenever possible. dx

Q: Find fcos? x dx.

A: We have to find the integration of given function: ∫cos2 x dx We know the trigonometric identity,…

Q: Evaluate: īdz when C Is the right-hand half:z =

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Q: ex-folve the OE dy to Hw→EXact ??

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Q: If y= X In x, Find d'y

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Q: e" corh w dw

A: Explained below

Q: Evaluate : J x dx, where neN.

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Q: Ind the domain of Hex,y) = Ln (xy) aherexy20

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Q: Q\ Eind dx/dy, if

A: Differentiate w.r.t to x tand then take the reciprocal

Q: Evaluate the folle (x*+ *) dxdy

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Q: Q6/(A)Evalute ex² dxdy.

A: Given: ∫02∫y21ex2dxdy Evaluate the given integral. If the order of integration is x, y then…

Q: S csc?x ? dx cotx + C %3D

A: We know that Anti-Integration means the derivative and vice versa. Therefore, if we find the…

Q: b) exsin2x dx

A: To evaluate the integral: ∫ex sin2x dx Solution: Let I=∫ex sin2x dx…

Q: dy / dx i

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Q: find dy if y

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Q: Hw3] Find Susinla?) dx

A: Given,

Q: 1. fx csc? x dx

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

Q: that d (inx) =\xl"-;TT SX. dx %3D

A: We will use the sign-function σ(x) to prove the given identity. Where :  σ(x) = -1 when x<0 &…

Q: Find the following.

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: To + w -dw Find

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Q: Sedx dx = ex + C.

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Q: 3cot3x dx Q./ 5

A: ∫3 cot 3x5dx

Q: dx x In? x

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Q: b. In x? dx

A: According to the company rule we can answer only first question and rest can be reposted.

Q: o find d(tanLseax) dx

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Q: In) dx, 1 3 5. a) Evaluate

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Q: De a b c formule

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Q: Find

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Q: įP,(x)dx = Evaluate:

A: Given, ∫01P'7x dx To find the value of this integral.

Q: In2 fin² coshx dx

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Q: Evaluate T. 8xyz dz dx dy 14 17 18 15 13

A: We have to perform 3 integrals in the given equation. So that we get a integer from that.

Q: jxe* dx.

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Q: Evaluate the folo Wing 4x.dx

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Q: Sdve the hut driffarential equation where

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Q: EVALUATE THE FOLLOWING: dy is 19-49y? dx tdt 2.17+64 1. 3. xV4x - 25

A: 1. Let  I =  ∫dxx4x2-25         Put  4x2-25 =t          ⇒ x2  = t2 + 254          differentiate…

Q: Ex C Seax dx

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Q: Set e кад dx

A: To solve the following problem

Q: Write a in the form e(=) and hence find - [x*] for x > 0. dz

A: The given function is: xx=eln xx    =ex ln x

Q: ind the are length x =3y'

A: Arc length = 8(82√82 - 1) /243

Q: alyze his ac ds and he fou iddle of the r dy had a servi ed P12,000, be

A: Revenue in the middle of the month = P12,000 Expenses at the end of the month = P20,000 Desired…

Q: If = and y(2) = 5, then y dx

A: Given : dydx = xy

Q: . Evaluate e* dr dy 5y

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Q: af af and dy Find

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Q: ue of a and c are and

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Q: Find dy/dr if y = r In(x). Answer:

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Q: evaloate the inlegral sS tant Sec"tdt

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Q: у — За)dx + (: urve passing thro tisfying the diffe

A: