Evaluate each of the following below. 2. dx

Q: Find fcos? x dx.

A: We have to find the integration of given function: ∫cos2 x dx We know the trigonometric identity,…

Q: d (a) dx 2 1 + x

A: Topic:- derivatives

Q: 1. lo' exp(exp(x)) dx

A: As per Bartleby guidelines i can answer only one question, kindly upload rest question seprately…

Q: d.x

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Q: Evaluate d/dx cot x

A: Our Aim is to compute the derivative of cot (x).

Q: Integrate the following expressions: Sex-e (2x – e*). dx !! (x + cos2x). dx "/2 X cos2x.dx

A:

Q: Determine if the following its value. dx 1. x3 dx 9x2 +4 x dx 3. (x? + 4)2 dx 4. 2.

A: Given: (2).∫0∞19x2+4dx(3).∫0∞x(x2+4)2dx

Q: 3 √(x³ − x² + x) dx -

A: The answer for the integral is 14x4-13x3+12x2+C

Q: (C) one inde (D)more tha (D) (C)

A: Ordinary differential equation: A linear differential equation is a differential equation that is…

Q: O Evahude xtan (x*) dx

A:

Q: the following 2 √x² √₁ + x dx aluate

A: Given query is to find the integral.

Q: 七 FIMD dy AND dy dx? OF AMP

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Q: Ssec'xta ctanx dx "You might want to write it out on:

A:

Q: Evaluate the following: 1. S(6x² – 4x + 1) dx

A: As we know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And…

Q: Determine the following: L (x - 2x2 + 1/3x) dx

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Q: 1. Evaluate / (* + 1)* dr. 2. Evaluate ret dx.

A: I have used the formulas of integration and mentioned wherebthey are used

Q: .3 dx S (x4+ 16)' 2

A: This question is based on indefinite integral.

Q: S 2x(x² - 2x)dx

A:

Q: Find the following

A: Integration of the function f(x)=32x can be done with the formula of integration of a constant with…

Q: 5. /2хе-2х dx

A: Given:       ∫ 2xe-2xdx

Q: d Evaluate (3*). dx

A: Given  The derivative is ddx3x .

Q: Find the following.

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: d dx [x² tanx]

A: As per guidelines we can answer only one question at a time so if you need more answers kindly…

Q: dx 4x

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

Q: vol (e).(xt+yj).ぷ

A: In this question, we show the formula for the volume of the solid by using the vector calculus…

Q: Determine the following indefinite 12 dx X 12 dx = X

A: The given integration is ∫1-x12xdx.

Q: b. In x? dx

A: According to the company rule we can answer only first question and rest can be reposted.

Q: 13 dx (1+5x)

A:

Q: (3 Scoša dx

A: we use- cos5x= cos x (cos2x)2 but sin2x + cos2x=1  therefore- cos5x= cos x(1-sin2x)2 after the above…

Q: у +x")dx — хау 3D 0

A:

Q: - Jx*Vi+x*dx

A: Solve the integration by substitution method.

Q: dx =? In 2 1+ e

A: The given integral is, ∫-ln2011+exdx. Obtain the value of the integral as shown below.…

Q: Find the following

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Q: jxe* dx.

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Q: If S dex) = hlx) +c %3D then find

A: given : ∫∂(x)=h(x)+c

Q: -In 2 e*dx 3. 2ex –1

A:

Q: Ex C Seax dx

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Q: dx 4. [(x-1)2+1]2

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Q: х + 3x + 4 dx

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Q: у (у — 1) da + (г — у?) dy — 0 ||

A:

Q: Set e кад dx

A: To solve the following problem

Q: 1 dx (2x + 1)'

A:

Q: Зах Evaluate : dx (b +c°x?)

A: Explanation of the answer is as follows

Q: Evaluate Stan" (x) sec¹x dx*

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Q: Evaluate the following: frsin 3x dx

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Q: Evaluate the following: 1. S(x3+ 3x?)dx

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Q: which of the following is equal to ITe dx? Vite ex 3 A.2 (22 - (1te")

A: Given,∫10 [√(1+e-x) / ex  dx] Substitute (1+e-x) as t

Q: Simplify the following expression. 1 + 4 dt dx .3 +4 dt = dx

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Q: X √x dx 5-х

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Q: |(2x - 1) dx .

A: