In evaluating / * sin3(2x) cos(2x) dx by substitution, if u = sin( 2x) then what will be the resulting indefinite integral in terms of u and du? 1 (A и3 du © :/» В 4 u³ du 3 du du

Q: Find the indefinite integral. ∫(5 cos x − 2 sec2 x) dx

A: We first separate the integrals then integrate.  C=integrating constant

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos' (0) sin(0) dO

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Q: Find the indefinite integral using any method.

A: The integral to be solved is . Substitute . Differentiate both sides.

Q: Find the indefinite integral.

A: To find the indefinite integral: ∫5cosx - 2sec2xdx Solution: Evaluating the integral. ∫5cosx -…

Q: Find the indefinite integral. Use a computer algebra system to confirm your result.

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Q: Find the indefinite integral. ​ integral of sin^3(4x)*cos^4(4x)dx

A: Important points for the question: 1. sin2 x + cos2 x = 1   sin2 4x + cos2 4x = 1 2. ∫xn.dx =…

Q: find Fourier Sine integral of fie) fras= ol> |.

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Q: Show that arctan(Tx) – arctan(x) -dx In T. by first expressing the integral as an iterated integral.

A: To show

Q: |Calculate the indefinite integral / sec (0) tan(@)d0 using two different u-substitutions. Explain…

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Q: he indefinite integral.

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Q: Integral of sin^3 x dx over cos^4 x

A: In this question we have to find the Integration.

Q: Integral of Sin^2(2t)cos^2(2t)dt

A: Given: ∫sin22tcos22tdt

Q: Determine the following indefinite integral. Check your work by differentiation.

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Q: Find the indefinite integral of (1+sinx/cos2x) dx

A: We have  I=∫1+sin xcos2x dxI=∫ dx+∫sin xcos2x dx   Substitute  cos x=t sin x dx=-dt

Q: 4. Evaluate the integral sin x cos x dx by two methods: first by letting u = sinx, and then by…

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Q: Use IBP to evaluate the indefinite integrals. 1. ∫ x³sin x dx 2. ∫ sec³ x dx 3. ∫ x cot² x dx

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Q: What are the formulas for integrals yielding the inverse circular functions? Explain these formulas:…

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: Determine the following indefinite integral. Check your work by differentiation. 7 4 2 dx x2 4 +2 dx…

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Q: Integral from 0 to pi/2 of (cosx) /(sinx) ^(1/2) dx

A: we have to find definite integral of f(x) in [0,pi/2]

Q: 4) What integrals lead naturally to inverse hyperbolic functions?

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Q: 12) S (z* + 2x + 1) dx 3 х2 + 2х +

A: Integration

Q: Find the indefinite integral by making the substitution x = 2sin(theta)   integral of…

A: Given integral:∫x(4-x2)32dxwe need to evaluate the integral by substituting,x = 2 sinθ

Q: - e*) sinh x + e* cosh x + ex In the indefinite Integral in(cosh x + ex). A In(cosh x + e*)- sinh x…

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Q: Use the substitution u = 3x²-2 to find the following indefinite integral. Check your answer by…

A: We need to find integral.

Q: Find the integral of * dx 2 sin x – cos x - |tan + 2 + v5 + C tan + 2- V5 In | tan + 2+ v5 |tan + 2…

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Q: In the indefinite Integral Sin(cosh x + ex). integrand? sinh x + ex cosh x + ex dx, what is the

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Q: Find the indefinite integral. sin 70 Vdos ve de COS 70

A: The given integral is ∫sin3(7θ)cos(7θ)dθ

Q: Determine the following indefinite integral. Check your work by differentiation.

A: The indefinite integral, ∫49-49x2-12 dx.

Q: sinh x tex cosh x + ex In the indefinite Integral in(cosh x + ex)- sinh x tex (A) cosh x + ex B sinh…

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Q: Determine the following indefinite integral. Check your work by differentiation.

A: The given indefinite integral is ∫3x4+2-3x2dx. Now,…

Q: Compute the indefinite integral. ∫(1−sin2x)/(cosx) * dx

A: The given integral is,

Q: find the general indefinite integrals integral of pi sinx cos3x dx

A: Consider the given function as πsinxcos3x. We have to find the general indefinite integral of…

Q: Evaluate the indefinite integral. (Use Cc for the constant of integration.) |

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Q: Pls kindly help evaluating integrals by first differentiating Theorem Intergal(0,infinite)…

A: I am going to evaluate the given problem using the first differentiating theorem which also the…

Q: 2. The indefinite integral sin 0 cos 0 de can be evaluated in multiple ways: (a) Evaluate the…

A: The solution are next step..

Q: Determine the following indefinite integral. Check your work by differentiation.

A: Consider the provided integral, ∫1x36x2-36dx Determine the above indefinite integral check your work…

Q: Integral of 2cos^2x+3sin^2x dx from 0 to pi/2

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Q: In the indefinite Integral Sin(cosh x + ex)- integrand? A In(cosh x + ex) B sinh x + ex In(cosh x +…

A: The given function whose integral is to be found is called the integrand.

Q: Integral of cos2x on [0, infinity]

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

Q: Determine the indefinite integral. sinh x dx J cosh x+6 sinh x dx = cosh x +6

A: Substitute the denominator with other variable and solve like normal integration. Here Sinhx &…

Q: Evaluate the indefinite integral sin2 x cos x cos xdx =

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Q: csch (2sin 2x)dx 1. V1-4x

A: Given problem:-

Q: |x² In(x)dx

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Q: dx xV4-x?

A: Explained below

Q: sinh x tex cosh x + ex In the indefinite Integral Sin(cosh x + e*)- dx, what is the integrand?

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Q: the indefinite Integral In(cosh x + ex)- A In(cosh x +ex) Sinh x + e* cosh x + ex (В sinh xtex sinh…

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Q: tan 0 . Find the indefinite integral by using the substitution x = xp: (1+ x2)?

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Q: Evaluate the indefinite integral sin5 s cos sds %3D

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Q: In the indefinite Integral in(cosh x + e*). sinh x + ex cosh x + ex dx, what is the integrand?

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Q: integral In(2x +1) dx

A: Given To Evaluate ∫ln(2x+1)dx