2n | sin®e de = 70 .a O 256 35 Tb O 64 35 256 70 35

Q: 45. s 2 2 sin t -

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Q: tan(v) In(cos(v))dv.

A: Assume lncosv = t Differentiate both sides

Q: Using an appropriate substitution, the integral cosxe+2 sinx) dx is equal to:

A: Solve intregal

Q: What is the integrable form of sin-cos-sin0 d0? 2 2 A du B cosu du 2 -: / sinu du D du

A: Let's find.

Q: Solve 2 sin x +1= 0 for X, where 0 < x < 360°. %3D o 120°, 240° O 210°, 330° o 30°, 150° O 210°

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Q: cos z dz (4 + sin z)?

A: The solution of above integral is written in below steps.

Q: 2. Evaluate J dx (cos³x sin³x)

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Q: 118 t' sin (2€) dt

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Q: Integrate | 2 sin O de а. 3(cose)d

A: ∫2sinθ3(cosθ)2dθ

Q: 38. Differentiate y = 2 cos² - a. – sint b. - sin 2t C. - sin - d. sin-

A: Differentiate y=2cos2t2

Q: sin(2t + ) dt = 00 64e 4. O O OG

A: Here in this problem we have to find ∫0∞sin(2t+π2)e2t-3dt

Q: T/2 1 Vi- sin z dz = 2

A: Evaluate the integral 12∫0π21-sin2x dx

Q: 04: S+* + 1)sin z dz =

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Q: coso dz+ (2Z o)do= o sin © - Cos

A: Use exactness formula to check and then solve

Q: a) (sinx + cos 2x)dx (+1) do b) S dx c) S (x+2)(x2-6x+5) 8 cot(In 8)

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Q: ôt)i+ 8 sin(6t)j + 7tk

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Q: 2. Determine (i) L # (ii) fe-" sin tdt. (iii) S dz

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Q: 0 sin 0 Find if y %3| Vsec 0 de

A: We have to find the dydθ of the given function   the given function is y=θsinθsecθ

Q: [2 sin 2t +20 + ecos4t]

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Q: Q.43) 2n S Icosx – sinx|dx =

A: Here we have to find solution of given integral

Q: sinh(In In a)da is equal to xlnx

A: To find:∫sinhlnlnxxlnx dx

Q: L[(sin2t+cos2t)² + et sinh(10t)]

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Q: L[if i sin√2t dt²

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Q: 4. Cos x=0.691 Ix = 46.291 %3D %3D ly = 43,709° A = B = H%=

A: Given cos x =0.691

Q: 9. sin Vw dw

A: ∫sinwdw

Q: Evaluate fo sin(3x) cos(5x)dx 8 Select one: V2-1 8 O o

A: We can find the answer as below

Q: 12 Sin X de =?

A:

Q: sin 20 d0 J Vcos² 0 + 16 V cos?

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

Q: rin 2 cosh x dx. Vsinh? r + 4 sinh r + 2

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Q: Sin'z cos' de

A: Given: ∫sin12x cos5x dx  ……1

Q: (d) > sin km/2 S.

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Q: Find the indefinite integral. sin3 70 V cos 7e de

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Q: General Sol. of  y' tanxsin2y= sin2x+sin2y is

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Q: What is the antiderivative of sin^2(x) + 2sin(x)?

A: Antiderivative of sin^2(x) + 2sin(x) is given by,  ∫[ sin2x + 2sinx ]dx =∫sin2x dx + ∫2sinx dx

Q: S. sin°e cose de= 1 .a O 120 60 b O 120cO 60

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Q: 2. L{cosh 3t sin 3t}

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Q: find dr/ ds r cos 2s + sin2 s = π

A: It is given that,r cos2s+sin2s=πWe have to find drds

Q: Integrate e^(2theta)*sin(3theta)

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Q: frosin(52)dz Find fro 70 sin(52)dx : + C

A: The given integral is ∫70sin50xdx

Q: Find the indefinite integral. I sini sin³ 70 √ cos 70 de

A: Given problem :-  ∫sin3(7θ) √cos(7θ) dθ

Q: ) Solve to find if y = sinvt – t, and t = cos (2x) – secx dx

A: Given: y=sint-tt=cos(2x)-secx To find: dydx

Q: Find all solutions to cosh z = i sinh z.

A: To find all the solutions of the below equation. coshz=isinhz

Q: 2 cosh V5t + t5 1 -2t sin 2t

A: Definition of Laplace transform :Let f(t) be a function Laplace transform of the function is…

Q: S sin* e de 4

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Q: 3e7" sin(2y) 3e7 sin(2y) dy

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Q: x=sinht,y=cosht.

A: Dear student, since what is to find by using given parametric equations is not mentioned in the…

Q: calculate the integral.

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Q: Cos Vt dt 3. Evaluate

A: The integration of the given integral is; Cos√t/√t.

Q: What is the value of the integral S sin(6x) arctan(sin 3x)dx? 2 c) 6 а) 3(т — 2) b) d) 6(т — 2) е) п…

A: