Given that sin (x) dx -TT, what is 8. sin (0) de? %3D

Q: The value of | sin(x + y) dx dy is

A: We will use the fact that  sin(x+y)=sinx cosy +cosx siny to evaluate the given integral.

Q: 1 Use the Trapezium Rule, with seven ordinates, to evaluate In(sin.r+3)dxcorrect to four decimal…

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Q: Use the method of substitution to evaluate | 2x cos x² dx. sin x? + c – sin x? + c sin x? + c sin x-

A: We use substitution method

Q: Given that " = n, sin (x) dx 3 -T, what is 8 sin (0) de?

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Q: If y = cos? x – sin? x, what is y? X - х, | dx

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Q: If sin (A) = 3/13 with A in QII, find sec (2A). sec (2A) =

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Q: d [sin? (In x)] dx

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Q: D?/if w= Cos (X+y)+Sin (X-y) Show that

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Q: Recall that cos- arccos x. Find r1/2 e sin(cosx) dx. 0.

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Q: sin x =dx V6 cos x – cos? x – 2

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Q: If y = sin (m sin^-1(x)), find the value of yn(0).

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Q: Find  dy/dx, given ? = sin √x

A: Chain rule in differentiation: also,

Q: + C,? What should be the value of A so that f A : sin (6x²) dx = - cos(5x-) %3D 4 A. x С. Зх В. 2х…

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Q: 44. Use the accompanying figure to show that sin-x dx. sin x dx y = sin y = sin x

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Q: sin? Cos dx 2

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Q: d Find dx (sin? (In x)]

A: We can solve the given problem using chain rule of derivative. According to the Bartleby guidelines…

Q: {2ху — tan y)dx + (x? — xsec?у)dy %3D 0 - -

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Q: Find r to the nearest minute. a) sin x 0.242 %3D

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Q: Show that 7 sin? ædx L' cos? ædx

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Q: If sin (x – -) = A cos x, then the number A is equal to A. π С. О В. Е D. –1

A: Given that sinx-π2=A cos x

Q: S sin*xcos?x dx

A: The given integral is ∫sin4xcos2xdx. use the identities:sinxcosx=sin2x2sin2x=1-cos2x2 The integral…

Q: d) Verify the identity sin 0 tan 2, 1+ cos e

A: To prove:

Q: If y = cos(sin(2.x)), find . dx

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Q: s nip

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Q: 10. What should be the value of A so that S A• sin (6x²) dx = - cos(6x²) + C, ? A. x В. 2х С. Зх D.…

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Q: The value of ∫ is 0

A: Given:The given function is f(x)=sinx2To find:The value of integral ∫22sinx2 dx

Q: nd a value of x that satisfies the equation sin 47° cos (x, %3D

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Q: If (Mesin(2) dx = e°sin(2») + C, then the M is equal to

A: On solving this we will get

Q: • TT 2. sin? cos' –dx 2

A: Given ∫0πsin2(x2)cos7(x2)dx

Q: Se2* (sin x + cos x)dx

A:

Q: Approximate to three decimal places.

A: (a) sin 73°20' Convert minutes into degree. 2060=13=0.3° Therefore: sin…

Q: ) Calculate sin?x cos x dx

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Q: 1 + sin² (x) dx sint(x)cos (x)

A: We have to find the integral.

Q: sin? cos' dx 2.

A:

Q: 3) S sin? dx

A: Solve the integral

Q: Why does eix=cos cos x + i sin sin x ?

A: To prove , or justify the identity exp(ix)= cosx+isinx

Q: a)- Find for, (x+ y)* = tan-14× + T* + InIny dy dx

A: To find dy/dx.

Q: b) L{e" sin(3t)}

A: b) We need to evaluate the Laplace transform of the following expression e2tsin3t

Q: dx = ? 4 sin x – 3 cos x+5

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Q: find dy for ee Sin (メ+34) dx

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Q: (b) If y = sin (m sin -x), find the value of (yn)o .

A: (b) Given that y=sinmsin-1x

Q: Given tan x = sin x < 0; cos y = csc y < 0, find sin(x-y) 3/5

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Q: sin 2x dx 1+ cos? x

A: Given : ∫sin2x1+cos2xdx

Q: 0 sin√xcos√x √x dx is equal to

A: To solve the given integral

Q: S 4 cos (x) sin (x) dx = %3D

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Q: To evaluate 1 dx 25+x2 the trigonometric substitution x = 5 sint

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Q: dx = ? 4 sin x – 3 cosx+5

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Q: From the formula for sin (2t + t) find sin 3t in terms of sin t.

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Q: find dr/dθ r = θ sin θ + cos θ

A: