flx)=_e Cos (22) %3D

Q: Evaluate lo' et cos dx

A:

Q: Integrate cosx dx cos (x -a)

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Q: sinx dx 7+cos?x 1 arctan /7 (COSX V7

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Q: , π/2 cos x esinx dx=?

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Q: 3. Evaluate fe cos rdr 4. Evaluate: / tan -1 (3x)dx.

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Q: Find ∫5 cos 5x dx.

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Q: Evaluate the integrals

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

Q: S tan5x dx ап

A: Solved below

Q: 28. Cos xdx

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

Q: Find the approximate value of cos (sin(-0.44). cos (sin -1(-0.44) = [ (Round to four decimal…

A: We will find the approximate value of cossin-1-0.44 in the following step.

Q: S 3. sin°ydy 1+ cosy

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Q: of degree 2 )dx is equal

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Q: Find y': y = ar cos

A: The given function,  y=ar cosx3

Q: Evaluate the inclepinite infegral Cos 3X +3 dx Sin 3x

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Q: cos ( - i ln3) is equal to, COS O 4/2 O 5/2 4/2 2. O 5/2 6. 4/2 23,

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

A: To find:∫sinhlnlnxxlnx dx

Q: السؤال 4 lun cos (플ev)-

A: We have to choose the correct answer

Q: 12, S a cos Vx dx COS

A:

Q: The nth derivatives of sinªx is ㅎ4"cos(4x +

A: FALSE. SOLUTION IS GIVEN BELOW HANDWRITTEN DOCUMENT. nth derivative of sin^4x

Q: Differentiate cos cos" Vi-x? y = ecos

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Q: х cos(5x) dx —

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Q: |12 sin(4x) cot(cos(4x)) dx

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Q: cos tdt Calculate following integral: . sin²t + 16

A: You can solve this integral using the substitution method.

Q: Evaluete " 2X Cos(sin --

A: Use the inverse trigonometric identities and simplify.

Q: 6). S sin 20 cos 50 de

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Q: | 2* (In(4.x))? dr -2х e cos 3x dx

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Q: en(cos (Tix)e) + हाक %3D COS

A: Given that y=ππx ln(cos(πx)e)+sin3π5,   we have to find implicit derivative of y.

Q: rea of the region between the sine curve

A: Here we have to find the area of the region bounded by the sine curve and the x-axis from π2 to 2π.…

Q: Differentiate y = sin 20 cos 20

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Q: 2. cos(arctan(1)) =

A: cosarc cosx =x

Q: laploce ď ļ cos' at} 2

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Q: A. sin(3x) dx

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Q: Find ∫sin23x cos 3x dx

A: Given:                  ∫sin2(3x) cos(3x)dx   Integrating:                    Let's apply the…

Q: 5- ft2 cost dt n/2 6- sin? 20 cos 20 de

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Q: .15 S sin²4y cos>4ydy

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Q: 5: - S cos(lnx).dx

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Q: 8. Sedr cos 2x dx

A: Integration of e3x cos2x

Q: Use Simpson's rule with n = 6 to approximate cos(a) dx Keep at least 2 decimal places accuracy in…

A: The solution is given below in the next step:

Q: 5) coS I sin rdr

A:

Q: 6. Se¯*tane¯*sec?e¬*dx

A: To evaluate: I=∫e-xtan(e-x) sec2(e-x) dx=∫tan(e-x) sec2(e-x) (e-x)dx...(1)

Q: Evaluate the intergrals. ∫ ex sin2x dx   show the complete solution. step by step

A: There are exponential function and trigonometric functions in the product in the given integrand.…

Q: Find the area of the shaded region. = 3 sec 0 tan e - 3/2

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Q: ∫cos^4 2x dx

A: Please see the answer in step 2

Q: cos (In4x2) dx

A: Topic:- integration

Q: Verify.

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Q: Eoaluate dx, Hence find the value of sin dx.

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Q: 2 Arc cos (1- y=

A: Given,   y=2arccos1-x2+4x-x2.   It is differentiated as follows:…

Q: Sirzy-L652X こつinてy Cos? x CoSz seczK-

A: As per guideline we have to solve the 1st one. For another solution request again

Q: cos(3x + 2) dx

A: This is based on simple integral formula

Q: An object moves such that its velocity in meters per second is given by v(t) = cos t. What is its…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.