7. Jx(2х — 3)°dx

Q: a dy ピ+3

A: Given

Q: S ds J V3s? + 1

A: To evaluate the given integral

Q: 03 (show de) * sec?xdy+cscydx=0

A:

Q: find S z (Inz)? dz

A: Given,            ∫zlnz2dz

Q: Evaluate S 2y²sinxy dy dx

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Q: Evaluate the integrals

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Q: of ū at the poir 01

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Q: ex: W= Show that wxy=wyX

A: On solving this we will get:-

Q: 7. Evaluate. LL sin z da dy.

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Q: 3- S e J coscinx) d

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Q: 2. J Зу /7—Зу?dy

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Q: If (x – k)³ dx = §,x³ dx , find k? %3D -

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Q: Evaluate dz where ci) .C is 1z+ Yzl =2 Ci) c is 1ztil=1

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Q: (3) SaʼIn a dx =

A:

Q: S se ex dx

A: LetI=∫sec3(x)dxI=∫sec2(x)sec(x)dxApply integraion by…

Q: seclyltun Cy) -csc?(y!dy

A: Use formulas of integration to evaluate the given.

Q: 4-Evaluate いーメ)ds Cis rt)- 2 Ccos t)+ (3 S,int) and 'osts 27T

A: Let the 2 dimensional curve C is given by the vector function r→t=xt,yt,where a≤t≤b Then the line…

Q: In 8 In y S S e*y dxdy x+y

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Q: jn= 16, α=0.05

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Q: sinh ot + cos ot

A:

Q: Evaluate. (In x)?dx

A: Given: ∫(lnx)2dx

Q: IS pr d pers who tests positive actually has the disease.

A:

Q: Evaluate the integrals

A: 37. ∫112142dtt+4tt38. ∫0edyy1+(ln y)2

Q: Evaluate o S, (4 – x²y?) dy dx

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Q: dz IV100-49(In z)?

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Q: 2sinh cosh -dx 3cosh? * 2

A:

Q: 11) ſ csc(5t) cot(5t) dt

A: According to our guidelines we have do only one question. Kindly repost other question as the next…

Q: 2 calculate J= e dyok 2x

A: Given integral :

Q: tan st dt \+9t?

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

Q: nitial ter t und?

A: The distance s from the ground is given by;s(t)=96+80t-16t2When, ball touches the…

Q: in ze2arctao e C Itex) sec (2

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Q: 1. S 7!nlsin(@)l cot(0) de 2. S(r + 1)2r*+2r dr 3. S 3w 2w dw

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Q: x singe dy dre

A: We will use simple integration rules to solve this question.

Q: 5)find y y= Inl-decx +tanx)

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Q: - seyi + avīj + () dt = 3 3

A: We have to perform integration by parts and then insert given limit

Q: J sec° (10t) tan“ (10r) dt 4 10.

A:

Q: Find ſ z2 sin z dz

A: We can find the integral in the following steps

Q: 3. Obtain the 6.S. sy dx + taydy = 0 xcos

A: We have given equation  xcos2y dx+tany dy=0 xcos2y dx=-tany dy x dx=-tanycos2y dy x dx=-sec2y tany…

Q: dy dx If y=e+19 then O 19e+19 O 4er+19 O 57er+19 O 3er+19 2er+19

A: Please see the answer in Step 2

Q: dt 4е-t — et

A: ∫14e-t-etdt=∫14et-etdt=∫et4-e2tdtlet  et=uthen∫et4-e2tdt=∫14-u2du

Q: the da entia Dn.

A:

Q: In(v¤) dædy 6. 15. Calculate ry

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Q: 7w ° sec(w *) tan(w 4) dw ec(w*) n(w¯ª) dw

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Q: In csch 4y d 3) tanh 4y

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Q: dy _ 2y 4. If tan(ry) + 5= ry then show that dr?

A: We have to do differentiate with respect to x.

Q: differen tiatin, de tomine dx リ= (aH) (xs) 5 (as) (x-+)

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

Q: AMD y= 上IHD y" OF *=_

A: Given; x=1/(t-1)2 and y=1/(t+2).

Q: 3. Evaluate S, 2y²sinxy dy dx

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 19. S.cosTa de cos7x dx 5

A: