Differentiate: (7x2 +5) arctan(x)

Q: Differentiate y = sqrt sec x 3

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Q: sin34xdx Vcos4x

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Q: 3x y= + Arccos () V8-x3

A: See the details solution in below

Q: 9. Differentiate y = (x² – 4)2/(x²) + (1/2)[Arcsec(x/2)].

A:

Q: 8. f(x) = tan(sin x²)

A: Given f(x)=tansinx2

Q: 3 Evaluate: (-x² + 4x – 1)dx 1

A: Solution:To find the definite integral:Formula:∫xndx=xn+1n+1+C

Q: x2 dx 16-х2

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Q: Y 15 12 9,

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Q: Use trigonometric substitution to do the integral 4x3 dr. VI² + 4

A: Topic = integration

Q: x5tan(x²) sec²(x²) dx

A:

Q: Complete the equation. arcsin arccos x2 - 6x + 90

A: Let ,  θ=arccos9x2-6x+90cos(θ)=9x2-6x+90 We know that cos = adjacent / hypotenuse  use Pythagorean…

Q: 9x² + 4x + 6 dx 2 9x² +1

A: The given integral is (9x2+4x+6)/(9x2+1).

Q: Find the root of the equation 2x=cosx+3, correct to three decimal places using iteration method.

A: The iteration method is another method to find the zero of a function with one starting point. For a…

Q: 2 arcsin ++2rk, ±- 4 - 2rk + 2жk 4 ±"+27k, ±- 4 - 27rk + 2жk 4 57 + + 2rk, ±- 4 - 2rk 4 ++2rk, ±: 4…

A: sin-(-2/2) 2/2 = 1/2 sin-(-1/2) sin is negative in 3rd and 4th quadrant so here π + π/4 = 5π/4 and π…

Q: (tan*Vx ) (sec²vx ) dx . b) Evaluate

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Q: How would you evaluate∫sec12 x tan x dx?

A: Consider the following integral: Consider the following equation as shown in below:

Q: |- 4X

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Q: Differentiate: y = v25 – x2 – 5 arccos

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Q: ntegrate using trigonometric substitution: dx 25+x2

A: It is in the standard formula  form of integration

Q: Solve the equation: tan x + sec2 x = 3, 0 ≤ x < 2π

A: Consider the following trigonometric equation: tanx+sec2x=3 Substitute sec2x=1+tan2x in the above…

Q: x³dx is equivalent to Using trigonometric substitution,

A: Given,  ∫ x3x2-4dx

Q: sec 180⁰

A:

Q: What is the simplified value of lan- 2x= sec2x, tan 2x

A: Given:   tan2x-sec2x

Q: cscx - sinx 1 + cost 84. (csct + cott) %3D 1- cost

A: transform the equation on the LHS using trigonometric formulaes

Q: 4х-5 [24x -16x" ]* * dx 75/2 24х-16х

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Q: Solve. Sin[arccos(-2/3)+arcsin1/4]

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Q: Graph y=-  sin (-px) for  - 3 <= x <= 3

A: We have to graph y=-sin-πx, where -3≤x≤3 We know that sine is odd function. So, sin-x=-sinx Given…

Q: simplify sec2x+cosec2x=(tanx+cotx)2

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Q: 8 arctan(2x) . 1+4x?

A: Given,          ∫8arctan2x1+4x2dx

Q: y = 3Arcsin (2x³) -- Arccos(2x³)

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Q: If arcsin(6x+4y) = 1.5708 and arccos (2x+y) = 1.0472,find x.

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Q: 5x3 b. y = %3D x3-sin x

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Q: Differentiate y= 7^(x)-3sin(arctan(5x))

A: Solution: The objective is to find the derivative of the given function

Q: 5. [tan³x sec³x dx

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Q: .. Explain why the expected response for arcsin(-) =- 117 and not 6.

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Q: Which of the following is equal to arcsin(-V3/2)? -27/3 -T/3 T/3 27/3 ООО

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Q: Integrate using the method of trigonometric substitution, express the final answer in terms of the…

A: In this question we have to solve the Integration. Trigonometry Identity Used:-…

Q: Se -2x sin 2xdx

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Q: y = xV 64 – x² + arcsin 5.

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Q: | (In x) dx x)²dx 15.

A: Applying integration by parts

Q: x³dx 3. Vx² – 9 2.

A: I have stated the used formulas in the solution.

Q: sin2t costdt

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Q: 11T is not 6 Explain why arcsin 2

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Q: . y = 3Arcsin (2x³) -- Arccos(2x³)

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Q: 식을 증명하여라. x -1 -= 2arctan vx- x+1 arcsin 2

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Q: Differentiate. 8x y = 9 – tan(x) y' = %3D

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Q: 3dx xV4-x²

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Q: 1. How many cycles would there be in the graph of y = sinx, over the domain Osxs 1080? What about…

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Q: 3. elog(y) + x2" + arctan(x) = 2. %3D

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Q: Express (sin2x)f in terms of multiple angles.

A: Proceed as shown below