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? u3 du B * u³ du 'u³ du (D u3 du

Q: Evaluate the indefinite integral. 3x sin(4x)dx

A: The given integral,      ∫e3xsin(4x)dx

Q: How do I evaluate the indefinite integral?

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Q: Evaluate the indefinite integral. x° cos (x) dx =

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

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

Q: Find the indefinite integral. ∫cos3 x sin4 x dx

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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.

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

Q: ind the indefinite integral using the formulas from Theorem 5.25. (Use C for the constant of in 5 dx…

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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: cos xdx x

A: The given integral is,∫xcosx dx. ∫xcosx dx=x∫cosx dx-∫ddx(x)cosx dx∫xcosx dx=xsinx-∫ddx(x)cosx…

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

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Q: Evaluate the integral.  integral sin 9  x cos 3x dx

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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: Evaluate the integral: CT/2 cos² (4x) sin³ (4x) dx.

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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: 5. COS 5. - cos vx dx x1

A: Indefinate integration problem.....

Q: Evaluate the indefinite integral sin (2)cos"(2)dz 4

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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: Find integral of sin^2 (x/2) dx with bounds of 0 to pi

A: Find the integral of sin^2 (x/2) dx with the bounds 0 to π.

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: Evaluate the indefinite integral.   ∫x2 Cos( x3) dx

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Q: 12) S (z* + 2x + 1) dx 3 х2 + 2х +

A: Integration

Q: Evaluate the integral. integral  cos 3x  sin 2x dx

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Q: a) Evaluate the integrals using appropriate substitutions. Sine ii) S de Cos0+1

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Q: Evaluate the indefinite integral by using the given substitution to reduce the integral to standard…

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

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

Q: Find the indefinite integral ∫cos 2x cos 6x dx

A: Given integration as I=∫cos 2x cos 6x dx Since  2cos 2x cos 6x=cos 6x+2x+cos 6x-2x…

Q: Find the indefinite integral. | x cos 9x² dx

A: Given : ∫xcos(9πx2)dx

Q: integral of cos x sin^3 2 x dx

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Q: What is the definite integral of sin^5 (x) cos^3 (x) dx if the lower limit is zero & the upper limit…

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Q: What is the integral of sin^5 x cos^3 x dx if the lower limit is zero and the upper limit is T/2?

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

A: The given integral is,

Q: Find the indefinite integral.∫ 8x cos2x dx

A: To integrate the indefinite integral: ∫8xcos2xdx

Q: Find the definite integral of ƒ™/* cos 3x sin 5x dx. -π/4 Option 1: Option 2: Option 3: Option 4:…

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

A: We can find the integral as below.

Q: Evaluate integral of {1/(x^2-9)^(3/2)} dx  Using trigonometric substitution

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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: Find the general indefinite integral

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Q: Find the indefinite integral ∫ cos2 x sin4 x dx

A: Given: I=∫cos2xsin4xdx we know that ∫sinnxdx=n-1n∫sinn-2xdx-cosxsinn-1xn                   ..1

Q: Evaluate the integral.  integral sin 6  x cos 5x dx

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

A: Given:

Q: S cos (2x) sin* (2x)dx a.

A: Solution: The objective is to evaluate the integral

Q: cos (x)sin(x)dx

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Q: Evaluate the indefinite integral: cos° x sin x dx

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Q: Find the indefinite integral.∫cos2 3x dx

A: To evaluate the indefinite integral ∫cos23x. Solution: The given integral is ,∫cos23x Multiply both…

Q: Evaluate the integral of sin(4x) cos(3x) dx

A: We have to use 2sinAcosB= sin(A+B)+sin(A-B) formula to simplify first.

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

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Q: Find the general indefinite integral.

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

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