Find the first 3 Zerms o Sinx et a =?

Q: | sin(6y) sin(8y) dy.

A: we have to solve the integral

Q: Vsin x+1 cosxdx

A: We know that integration of xn is xn+1/n+1.       Here i attached solution of this question.

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

A: Assume lncosv = t Differentiate both sides

Q: Differentiate. cosx² + siny³ = 36 %3D

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Q: Compute : exp(i sin(e¬ni)).

A:

Q: What is the integral of 1/3(sin^2,theta)?

A: To find the integration [1/(3sin²x)]dx I am writing theta=x just for ease of typing

Q: find the value of cE CoB] for flx)= that satisfy value theorem. mean

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Q: Integrate | 2 sin O de а. 3(cose)d

A: ∫2sinθ3(cosθ)2dθ

Q: Find the area.   y = 3 cos(4x),    y = 3 − 3 cos(4x),    0 ≤ x ≤ π/4

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Q: sin(3 dx

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Q: Evaluate the integral. sin COs 503 502 502 sin 50 1. cos d0 3D 502 502

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Q: Calculate for w-z sin(xy+).

A: The given function is w=zsinxy4+9z

Q: Find the Integrationof {(u) = tanu + Cos 24. %3D

A: Consider the function, fu=tanu2+cos2u

Q: Find the indefinie intgrel wite 5 sec (2x) tan (2x) dx

A: Topic = Integration

Q: Show that cosh iθ = cos θ,

A: We know that  coshx=ex+e-x2 and by Euler's theorem, eix=cosx+isinxe-ix=cos-x+isin-x=cosx-isinx We…

Q: Eliminate the parameter: I = sin 3t, y = cos 3t, 0 <t <T/3. = COS

A: x= sin 3t     and y=cos 3t     for    0≤t≤π3 We need to eliminate the parameter i.e. we have to…

Q: Find the area between the inner and outer ovals of r = 4(1+sine

A: I am going to solve the given problem by using some simple calculus to get the require

Q: find: de So 2-cose using sediment theorem

A: Solution :-

Q: 2 Find def differentiêt equatcn of: -I(082 Siny %3D

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Q: [ san28 e tan 20 ,tan 28 sec 2 Bd

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Q: Find L(sin 2t cos 2t) inned with CamScanner

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Q: Compute : exp(i sin(e-i))

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Q: is 4= Sinh(2sinhix) shaw Hh at %3D 2 (a)

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Q: Integrate sin" uelor (cosu) . Where n=540

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Q: Sin'z cos' de

A: Given: ∫sin12x cos5x dx  ……1

Q: Solve part d) only Differentiate Show all work

A: d) y=-12e1x2

Q: tanla= 2 with 3T LaL2p 3 2 and Sin lb) = 3 with IT L6LT 2. %3D

A: Solution:-  tana=-23   with 3π2&lt;a&lt;2π (fourth quadrant) sinb=34 with    π2&lt;b&lt;π   (second…

Q: Evaluate the integral ∫sin (2t + 1)/cos2 (2t + 1) dt

A: Given information: ∫sin2t+1cos22t+1dt

Q: 4) The curver= V1 + sin20,

A: Solution :-

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

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Q: The integartion of [sin(sinØ)]Ø cos dø Is: cos(sin0)+C -sin(cos Ø) + C O -sin(sinØ) + C O -cos(sinØ)…

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Q: 1. S sin sin de

A: ∫sinx5sinx2dx Use the identitysinAsinB=12(cos(A-B)-cos(A+B))…

Q: Jz sin 0 do 2

A:

Q: Find a series of cosines of multiples of x which will represent (x sinx ) in the interval (O, x) and…

A: Let's expand x cos(x ) , xcosx=x1-x22!+x44!-x66!+...=x-x32!+x54!-x76!+...             in 0,x To show…

Q: T S. 12 sin² (u)du

A:

Q: The answer of integ ra Ssinzx cos3% dX

A: We have to evaluate the given integral.

Q: find dr/ ds r cos 2s + sin2 s = π

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

Q: find the area of the limacon: r = 2 + sinx

A: To Determine: Find the area of the limacon:

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

A:

Q: Use the addition formulas to deriv TT 31. cos(x - sin x 2

A: Prove that cos( x  - π/2 ) = sinx Here we use general formula : cos( A - B ) = cosA×cosB + sinA×…

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

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

Q: What is the integrable form of sin-cos-sine de? 2 2 V1-u? du -2 sinu du u² – 1 du 2/ cosu du

A: We have given integral Let, I=∫sinθ2cosθ2sinθdθ As, sin2x=2sinxcosx sinx=2sinx2cosx2 So,…

Q: 5. cos(u − v) = ______

A: We have the expression as   cos(u − v)    We have to expand it

Q: Verify.

A:

Q: 5. Integrate the following and show all of your work: sin“ r cos r dr

A: we have to integrate the following

Q: cos' x dx

A:

Q: What is the antiderivative of sec2(5x)dx from pi/20 to -pi/20?

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Q: Use the double-angle formula cos 2x = 2 cos x – 1 to evaluate the integral 1 1+ cos 2x dx

A: The given integral is ∫11+cos2xdx