Find the integral of * dx 2 sin x – cos x - |tan + 2 + v5 + C tan + 2- V5 In | tan + 2+ v5 |tan + 2 – V5| + C Option 1 Option 2 |tan- 2 – V3 In tan an– 2 + v3| In 3 |tan – 2- V3 + C + C 2+ V3 Option 3 Option 4

Q: What is the integrable form of sin-cos-sin0 do? 2 2

A: SOLUTION-

Q: .find integrals by using Beta fun dx (1-x*) ーズ

A: Using the Beta function, it can be written as follows.

Q: Evaluate the integral (sin (x/7) dx .2 49-x2 2 sin -1(x/7) dx /49-x² %3D

A: ∫sin-1x/7249-x2dx

Q: What are the new limits of integration if apply the substitution u = 6x + n to the integral sin (6x…

A:

Q: ) Use integration by parts to verify the reduction cosxsin x n-1 Scos" xdx=!

A: Here I=∫cosndx ⇒I=∫cosn-1x×cosx dx using integration by part;

Q: (5) Find the indefinite integral (a)f Vtan x sec²dx (b)fem2* sec² 2xdx sin x (c) Cos x 1 cos-do 0 2

A:

Q: Evaluate the integral f sin²(3x) cos (3x) dx.

A: The given integral is ∫sin23xcos53xdx. We have to evaluate the given integral.

Q: Find the integral of ∫tan^5(4x)dx

A: Given Data: Integrand: ∫tan54xdx   let u=4x   The derivative of the above equation is, dudx=41dx=du4

Q: Differentiate : a. y= x^2 sinx +sin^2x + cos^2x + tan 2x/sin2x/cos2x b. y= In √x^3

A: a) y=x2sinx+sin2x+cos2x+tan2xsin2xcos2xb) y=lnx3

Q: Evaluate the integral: 25 tan² 12x dx Choose the most appropriate answer. tan3 3 12x O 25 × 1 12 ln…

A: Explanation of the answer is as follows

Q: What are the new limits of integration after applying the substitution u = 5x + z to the integral s…

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Q: Can we evaluate the integral of 1/(x^2+2x)^3/2 dx by using x= sec¿ - 1

A: Consider the equation

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A:

Q: Find F'(x), where F(x)= int. of ((t^2)+1)dt, from sin(3x) to x=-4. Use the 1st rule of the…

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Q: CSCX-1

A: Multiply numerator and denominator by (cscx-1)

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A: Integral test:  Integrals convergent if the associated limit exists and is a finite number (i.e.…

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A: Given problem:-

Q: Please do not email me to get solut instructors to use them for assignm Section 1-2: Integrals…

A: Evaluate integral.

Q: The integration expression sin(3In(x) + 4)cos(3In(x)+ 4)dx must be transformed into using suitable…

A: topic- indefinite integration

Q: Compute the integral (3)/(1+x^2)-sec(x)tan(x)+2^xdx

A: The given integral is: ∫31+x2-secx tanx+2x dx ∫31+x2-sec x tan x+2x dx=3∫11+x2dx-∫sec x tan x dx+∫2x…

Q: What is the integrable form of sin-cos- sin0 do?

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Find the indefinite integral. [ cos 3xar sin33- sin 3r +C 6. O sna(3- sn'ax) sin3 3-sn 3 +C sn3x…

A:

Q: Evaluate the integral S cos ³ x + 8 sin x cos³² x + 6s in ² x dx; cosx #0 2 cos²x

A:

Q: Complete the indefinite integral by choosing the correct LETTER from the table: 1 cos(3p) cos(6p) dp…

A: Consider the following formula: 2cosacosb=cosa+b+cosa-b Consider the following integral:…

Q: the point of discontinuity on(0, co), the Fourier Sine integral converges to: None (**) + f(x¯)] **)…

A:

Q: Evaluate | sin'x +cos°x dx Select one: 6*4*2 5*3*1 7*5*3 6*4*2 6*4*2 5*3*1, TT 7*5*3 6*4*2 2 O None…

A: By the using the formula we will solve the above integral. If n is an integer ≥2, then…

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A: Concept: Trignometry inverse formula: One of the key ideas in mathematics is the inverse…

Q: This is exercise 12 of Section 7.5 page 460. Find the integral sin(2x) dx +C 1+ sin (x)

A:

Q: Prove that f(x)= sin(5x) < 5x on [0,x]

A: Take the help of derivative and try to prove the given statement in two cases.

Q: The proper transformation for sin²x to make the f sin²x dx readily integrable is {A} 1- cos²x {C}(1-…

A: Given the query is to find the correct option of integral.

Q: Compute the indefinate integral. integral (1-sin^2(x))/cosx * dx

A: Consider the given integral.

Q: Use substitution and partial fractions to find the indefinite integral.

A:

Q: What is the integrable form of sin-cos-sin0 de 2 2 du 2 1– u² du cosu du -2 sinu du

A: To write the integrable form.

Q: Use substitution and partial fractions to find the indefinite integral.

A: The given integral is ∫sec2xtan2x+5tanx+6dx. Substitute t=tanx  and dt=sec2x dx in the above…

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A: We have to use limits to find the given integral.

Q: Find the integral of * dx J 2 sin x – cos x tan + 2 + V5 + C tan+ 2- V5 V5 |tan + 2-V5 V5 In tan+ 2+…

A: Option 2 will be correct choice.

Q: Find the indefinite integral by making the substitution a = 6 sec 0. 2-36 dx -1 6 C. Vx2 – 36 + 6…

A: Given

Q: Match the integral expression on the left to an equal expression on the right. Ssin(ax)sin(4x)dx +…

A: We know that; The trigonometric identitites; a). sinxsiny=12cosx-y-cosx+yb).…

Q: An even piecewise continuous function f(x) on every finite interval of (-oo, 0) such that :/ (x)|…

A: The given statement is : An even piecewise continuous function f(x) on every finite interval of -∞,∞…

Q: Integrate: [ sin³ 3x cos5 3x dx [sin³ 3x cos³ 3x dx = [ {ITEM D1} dx = [((ITEM D2]) cos5 3x sin 3x…

A:

Q: dt cos°(2 sin" 21)/1– 4r cos(2 sin2t

A:

Q: Let slx) = tan X %3D 3, ind ) tanx dx using Lebesgue in tegral.

A: To evaluate the integral.

Q: Find the derivative of f(x) = ecos² (3x+1) Of(z) 6 sin(3r+1) cos(3x + 1)ecos² (3+1) O (E) None of…

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Q: What are the new limits of integration if apply the substitutior u = 6x + t to the integral sin (6x…

A:

Q: Find all transition points for the interval [0, 2]. 3 y = 3x + sin(3x) %3D

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Q: Evaluate the integral of 3(sinx)3dx using lower limit of 0 and upper limit = pi/2.

A:

Q: isolated singular point 1. z/((z^3)+z) 2. exp(tan(1/z)) 3. (1/(z^2)) * exp(1/(z^2)) z=4 is apole of…

A:

Q: integral of sec^4 (x) tan^2 (x) dx

A: Definition used -                                sec2x=1+tan2x…

Q: 0 < x < 4 Graph and expand f (x) = 18 – x 4 < x < 8 period 8 in Fourier sine ser %3D

A: