%3D Evaluate the fo llowing intergrals nest_x5 dn.

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A: We have to find the surface area of the given prism according to the given information

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Q: 5 dx = 4

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Q: 5. S dx

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Q: v= dx %3D

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Q: Evaluate

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Q: Evaluate ſ csc* x dx

A: Formula: csc2x = 1+cot2x d/dx(Cotx) = -csc2xdx

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A: The function is given by fθ = arctanθ To evaluate : The derivative of the function fθ

Q: Calculate the amount of 8'(COSTX)x°dx.

A: This a B.sc course problem because of Dirac delta function, so I can do it in Advanced mathematics.

Q: Approximate to 3 decimal place accuracy

A: Maclaurin series can be given as below : take

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A: Evaluate the integral as follows. Let u = cos x. Then,

Q: Differentiate y= 5x+5 dx

A: Given query is to find the derivative of the expression.

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Q: vii. S Vcoshx – 1 dx

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Q: Evaluate. 1 dx x + 4 Preview

A: Substitute u for x+4. For  x=-3 u=-3+4u=1 For x=2 u=2+4u=6 Now the integral become:…

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

A:

Q: inder is decreasing c inches. At what

A: this is the problem of application of differential Calculus.

Q: 1. Arcsin

A: (a) To find value of sin-1-12. We know that sin-1-x=-sin-1x Solving the given expression,…

Q: Simplify S. dx V2x-3

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Q: Evaluate t. dx

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Q: find dy /dx For the fallowing

A: Given,               (√y)x = sec-1 (xy )    So, we can also write the above one in below format to…

Q: Evaluate fx Vx + 10 dx

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Q: Calculate. d/dx(2x5)

A: We have to calculate the following derivative: d2x5dx We know the formula of derivatives,…

Q: Vtan(7x) sec?(7x) dx

A: Given query is to find the integral of the expression.

Q: 1x1 dx evolute

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Q: Evaluate. 20 dx 1

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Q: Evaluate. 4 dx 1

A: Answer and explanation is given below

Q: Differentiate O y = arctan √3x

A: In this question we have to find the differentiation of y.

Q: 4 e dx

A:

Q: How many milliseconds are in 31 days? show work in a step-by-step, please?

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Q: +Int)dt

A: Given , ddx∫x4 tant2-7t+lntdtwe have find the value of the derivative .

Q: Evaluate the folo Wing 4x.dx

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Q: 1多 dx

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Q: Find x³ + 6x°) dx Preview

A: Given integration:

Q: Evaluate S cot 2x csc 2x dx

A: It is given that,   It is known that, Therefore we'll solve the integral by using substitution.

Q: S cot54x dx

A: ∫cot5(4x) dx Lets apply u- substitution method let u=4xdu=4 dxdx=du4 ∫cot5(4x) dx∫cot5(u)…

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Q: (d) dln

A: Without loss of generality, we can substitute d and nd in the above expression ∑d|nσ(d) ϕ(nd) =…

Q: Integrate Sxln x)dx

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Q: Evaluate ( 4 dx.

A: To evaluate ∫4xdx

Q: 27t3 dt

A: Given query is to find the integral.

Q: Find dzy 9 dx?

A: We will use the formula uv' = u'v+uv' Given y=sinuu=x2ex Then dydu = cos u dudx = 2xex+x2ex We know…

Q: Find the area of the trapezoid by forming a parallélogram.

A: Given that:

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Q: 13) dx

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Q: Evaluate J sec3x cosecx dx

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Q: Evaluate (csc 4x + cot 4x) dx 2

A: Given :∫csc4x+cot4x2dx