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Q: Prove fulay's formule -CstD)4isin LO)

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Q: If n is an odd natural number prove that I =, xsinnx dx = sinx 2.

A: Consider the given: It is given that n is an odd natural number, Take n = 1,Substituting n=1 and…

Q: Use the addition Rormulas to derive the identitie Qul sinlx-I)=-Cosx

A: Explanation of the answer is as follows

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A: Topic:- Simpsons 1/3 rule  Note:- if more than one question uploaded than only first question need…

Q: 5. Show that dS = 0. lav

A: The objective is to show that, ∮∂VdS=0. Let V=cT where c is a constant vector. Now by divergence…

Q: S sinrdr In(cosr – 3) ° cosr -3

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Q: 9 Determine fcot 20 sin' 20 d0.

A: 9. Given Integration can be simplified as

Q: [ con Vi dz 2.5.4. [arctan yi dz 2.5.5. 2.5.6. cosh 2r dr.

A: As per asked by you Solving the given questions 2.5.4, 2.5.5, 2.5.6

Q: Prove the following equation : Cosh(3 x) = 4 cosh³(x) – 3cosh(x)

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Q: 2), Compute SE. di where Fュく-,) C is s shown

A: The general form of a vector valued function in three dimensions is given by F→=F1,F2, where F1 and…

Q: Use (3) from Section 5.4 to evaluate the integral. '5 dy

A: We have to find given integral.

Q: 13TT 6 tan 9. Sinl TZ |12 12.5in 105° 12

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Q: Without using the  L'hopital rule. Solve Questions 1,2 and 3.

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Q: Sketch ler=qcose

A: The given curve is  1-r2=9cos(θ)

Q: Prove that CP PS AM BN 9. MQ NR

A: Consider the equation

Q: Please show all work integrate ∫14 2(u1/2) du

A: Integration

Q: Evaluate the in tegrol : S sin 5x cog3 5xdx

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Q: 2π tane 13-12cose de

A: We will find thw integral.

Q: State Green’s Theorem

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Q: use the given Canditions To find the exact valyes of Sin(2u) cos2u) rtanc2) usingthe double गठिवामन…

A: Here we need to find the value of sin(2u), cos(2u) and tan(2u) using the double angle formulas. The…

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Q: 23. -(-Cnd)→e -evd dz

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Q: Region ¥=1=sino jn 1-st q4adrant enclosed by the eardieid

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Q: 2. Use Theorem 4 to evaluate (3x +2x2) dx

A: Given ∫01 (3x+2x2)We know that ∫xn=xn+1n+1+C

Q: sinha da 1+cosha

A: ∫sinhω1+coshωdωLet u=1+coshω.=∫1udu=lnuSubstitute back u=1+coshω=ln1+coshωAdd a constant to the…

Q: 2 Use Bisection methed to fnd soletons acCurete within 10 3D0

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Q: Find the maaimum and miniryem Valiaes of e feencteon Cif exits) feny) Luž-3ary

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Q: Prove that osIl" + sini = tan s 56° cas 11-sinll %3D

A: -To show:cos11o+sin11ocos11o-sin11o=tan56oBasic formula needed:-tan(A+B)=tanA+tanB1-tanA.tanB…

Q: I, Let dlP) S-a). End fIt) Sta

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Q: integrate sin"ueg ceasu) where n=824

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Q: | У49х2 + 1225 dx

A: We have to find

Q: 7x sin 4 %3D nswer, including any

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Q: #4 anros y" +47= sin (2x) Hint: you need to modify one time. Long Алаевна

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Q: EVALUATE 3 TT e Sinxcosxdx USING SIMPSON RULE 20 土

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Q: sec 1.)S Intanßtanß dß

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Q: Гесos 4x sin 4xdx eCo:

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Q: find inmporopor integreal STæra o dze

A: To solve the improper integral

Q: Compute (2sin z -) ) da Show work but don't simplify.

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Q: 1- (In x)? If u= In x, then dx=?

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Q: 38 Show that x² V2x – 3 dx - 35

A: use the formula below to evaluate the given integral.

Q: (cos 20+ jsin 20) (cos 60+ jsin 60)1" (cos 30+ jsin 30)°(cjs 1000)

A: the given expression is cos 2θ+jsin 2θ5cos 6θ+jsin 6θ10cos 3θ+jsin 3θ9cjs 10θ Using De Moivre's…

Q: Integrate sin®19uelog (cosu)

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Q: Here is an informal proof that tan¬11 + tan¬|2 + tan¬13 = 7. Explain what is going on. %3D

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Q: Obtain ez in rec tangular for m Iti

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Q: Finl dy for

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