In evaluating/ *sin³(2x)cos(2x) dr by substitution, if M = sin(2x) then what will be the resulting indefinite integral in terms of u and du? du o fi. du du

Q: Evaluate the indefinite integral. 51 da cos (25x) +C

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Q: Find the indefinite integral by using the appropriate formula

A: Given: ∫cos4xdx   Formula used: cos2x=2cos2x-1   cos2x=1+cos2x2

Q: -cos² dx X' X

A:

Q: Evaluate the indefinite integral sin s cos sds

A: We have to solve

Q: Evaluate the definite integral. π/2 1- cos(2x) dx

A: Answer:-(1) Given the integral,     ∫sin2x cos22x dx=∫44*sin2x cos22x dx…

Q: evaluate the indefinite integral

A: The given integral is

Q: In evaluating sin (2x) cos(2x) dx by substitution, if u = sin( 2x) then what will be the resulting…

A: We have to calculate integral by substitutions

Q: Evaluate the indefinite integral. -1 tan (5x)dx

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Q: evaluate the indefinite integral.

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Q: evaluate the integral: integral of 8x*sin^2(x)dx

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Q: 3. (sin0 + cos€)²d0

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Evaluate the definite integral (if it exists) 1/3 -4 sin(x) dz cos² (1) If the integral does not…

A: Substitute cos(x)=t⇒-sin(x)dx=dt At x = 0, t = 1 At x=π3, t=12 The definite integral is: I=4∫112dtt2

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: What substitutions are made to evaluate integrals of sin mx sin nx, sin mx cos nx, and cos mx cos…

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Q: Find the indefinite integral by making the substitution x = 9 sin e. 6. V81-x2 1 3/2 +C 81 V81-…

A: Option b is correct

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: Evaluate the indefinite integral.  ∫sin(3x)cos(6x)dx=________________ +C

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Q: evaluate the definite integral from [0,pi] [(sinx)2(cosx)4]

A: To integrate the definite integral

Q: - Determine the indefinite integral : In(x³) dx.

A:

Q: Evaluate the integrals ∫cos5 x sin5 x dx

A: Given integral:

Q: What is the integral of sin^4(x)cos^3(x)

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Q: Evaluate the indefinite integral. ∫sin5(x)cos4(x)dx

A: Integrate the given indefinite integral as follows.Consider the expression sin5(x)cos4(x).The above…

Q: Find the indefinite integral. X cos 8TX2 dx

A: To evaluate the integral: I=∫x cos 8πx2 dx⇒I=∫cos 8πx2 x dx...(1)

Q: Evaluate the indefinite integral given below. 12 sin (2x) dx V1– 4x2 -

A: Given Data The integral is ꭍ-12sin-1(2x) dx /√(1-4x²).   Let,

Q: sin 3x• tan 3x

A: Given integral,

Q: Calculate the definite integral of: 2x + 4 dx

A: compute the definite integral let I=∫242x+4 dx

Q: Evaluate the indefinite integral: S 9x“ cos (x³ + 6) dæ COS

A: Given,  ∫9x4cosx5+6dx  We have to evaluate the integral using substitution.

Q: Evaluate the indefinite integral: et – 7x dx - + C. 5

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Q: sin(34x) dx 1 + cos-(34x)

A:

Q: Evaluate the indefinite integrals. (a) ƒ 2r(x² – 3)³ dx

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

A: The given integral is,

Q: sin 3xdx Evaluate: S 4+cos?3x

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Q: Evaluate the definite integral. (1/10 sin-1(5x) dx 1 - 25x2

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Q: If we are asked to find the indefinite integral of cos® x sin' x, which identity can we use to…

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Q: [sin¹ 3x cos² 3xdx

A:

Q: Find the indefinite integral. x cos 10TX2 dx

A: We can find the integral as below.

Q: 6. S COSX dx sin2x

A: Solving the problem by finding the value of the integral.   NOTE :: As per our Expert guidelines we…

Q: Evaluate the indefinite integral. ∫cos(2x)(9−sin(2x))^(1/2)dx

A: Given:

Q: evaluate the indefinite integral.

A:

Q: The undefined integral of the function [1+ cos x} power -1 is *

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

A:

Q: Find the indefinite integral using any method ∫(sin   + cos  )2 d

A: Given ∫sinx+cosx2 dx We have to integrate the above indefinite integral.

Q: Find the indefinite integral by the substitution method or state that it cannot be found by our…

A:

Q: Evaluate the definite integral. In 3 6e-X cosh x dx

A: Given integral is- I=∫0ln36e-xcoshxdx where coshx=ex+e-x2 Thus,…

Q: -2e dx

A:

Q: Find the indefinite integral of (x2-cos x) dx

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

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Q: Find the indefinite integral by using the appropriate formula. ∫x2 cos x dx

A: Given: ∫x2 cos x dx