Evaluate sin' x cos x dæ. x dx. Answer:

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A: We have to solve the problem

Q: sin° (3x) cos“ (3x)dx 4

A: The given integral is ∫sin53xcos43xdx.

Q: Find y' for X= cos( sinx)

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Q: find x,sin(2cos-1(cot(2tan-1x)))=0

A: Given: -

Q: Differentiate y=(1-cosx)/sinx

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Q: If sin v = with < v < T and cos w = * with 0 < w < , find sin (v + w)

A: Given that π2&lt;v&lt;π. So, v is in the 2nd quadrant.In 2nd quadrant sinv is positive but cosv is…

Q: Evaluate Sz cos“ x sin? x dx

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

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Q: Find [sinh-(cotx)] and simplify completely. d dx

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Q: Express sin(x +y+z) in terms of cosine and sines of x, y, z.

A: Associative Law: A+B+C=A+B+C=A+B+C Distributive Law: AB+C=AB+AC Left distributive lawA+BC=AC+BC…

Q: So sin (x²) dx cannot possibly be 2. Show that the value of Lisin

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Q: Find dy/dx of inverse tan(1/x) multiplied by secant(x)

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Q: If y=sin(sinx) show that y''+(tan x) y'cos2x=0

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Q: Differentiate y=(1-cosx)/sin2x

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Q: tanx . In(cosx) dx

A: we have to evaluate,   I=∫tanx . ln(cosx) dx

Q: express sin(x+y+z) in terms of cosine and sines of x, y and z

A: Answer and explanation is given below..

Q: Differentiate sin (x2 + x) with respect to x.

A: The given function is, y=sinx2+x. The objective is to differentiate the function y=sinx2+x with…

Q: Find y' if cosh x sinh?

A:

Q: b) Differentiate (Cosx)Stnx with respect to (Tanx)Secx

A: We have to differentiate cos xsin x with respect to tan xsec x

Q: Find y’ if y = Arc cos (sin 4x).

A:

Q: Evaluate. S sin“ x cos² x dx

A: This question is related to integration,  we will solve it using given information.

Q: Evaluate [si sin 3x cos 5x dx.

A:

Q: What is sin x ? dx

A: We know that ddxf(x) = limh→0f(x+h)-f(x)h

Q: Show that cos( arctan( sin( arccot(x)))) = sqrt{{x^2+1}/{x^2+2}}

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Q: Prove d [sin-! lu(x))]= I dx dulx) %3D NI- Culx)]? dx

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Q: (3X dx =? Sinmply

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Q: (a) Show that tan x = dx sec?x using quotient rule.

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Q: tim Sin It tanx\

A: We will find this limit by substitution

Q: Differentiate with respect to x. Y=sin5x

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Q: 2. Describe a way of evaluating sin° x dx.

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Q: Solve to Find if cscx – ) dt = 4 – y? tanx sinx+1. dx

A: Here we have,  a) y+∫xsecx1sint+1dt=xy b) cscx-∫tanxxy1sinx+1dt=4-y2

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: sin Vr dx =?

A:

Q: What is ∫ tan x dx?

A: Integration

Q: Evaluate S(cos“ x – sin“ x)dx

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Q: e. L[t e'cosh t sin t]

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Q: Show that: cos hz = cos hx cos y + i sin hx sin y.

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Q: Evaluate sin integral (4x) cos(5x) dx

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Q: Evaluate Te*(sin x +cos x)dx

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Q: Evaluate sin (x) cos“(x) dx.

A: ∫ππsin6x cos4x dx

Q: Differentiate sin(x2 + ex) with respect to x.

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Q: d. tion to prove that (cscx) dx = – CSC X COt x. 86. Use the quotient rule and the derivatives of…

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Q: Evaluate the indefinite intergral ∫sin(-10x) dx =

A: This question can be solved using integration by substitution.

Q: If sinx = siny = a and cosx = cosy = b,then cos(x-y) is

A: