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

Q: Find the indefinite integral: cos ( πx ) dx sin, ( π )

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Q: Evaluate the indefinite integral. sin(x) cos(9x) dx = +C

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Q: Evaluate the indefinite integral. sin(-3x) dx +C.

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Q: In evaluating / * sin3(2x) cos(2x) dx by substitution, if u = sin( 2x) then what will be the…

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Q: S sin x In(cosx) dx

A: To evaluate the integral: I=∫sin x(ln (cos x)) dx Substitute  cos x=t⇒-sin x dx=dt⇒sin x dx=-dt

Q: Evaluate the definite integral from 0 to pi cos(299x)sin(301x) dp

A: Evaluate the integral∫0πcos299xsin301x dx

Q: 1 * dx 1+ sin x + cos x

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Q: Evaluate the definite integral. 1 cos (тx) dx

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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: Evaluate the indefinite integral.

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Q: Evaluate the indefinite integral sin² t cos³ tdt = + C

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

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Q: Find the indefinite integral. sin 60 V cos 6e de

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Q: cos xdx sin x

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Q: Evaluate the indefinite integral. | = sin(x) cos(4x) dx +C

A: Given query is to find the intersection.

Q: Evaluate the definite integral.

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Q: Find the indefinite integral ∫ sin 2t cos 9t dt

A: Given: ∫sin2tcos9tdt

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

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

A: Given integral to evaluate  ∫cos2xsin2xdx substitute sin2x=2sinxcosx ∫cos2xsin2xdx=∫cos2x2sinxcosxdx…

Q: Use the value of the first integral I to evaluate the two given integrals.

A: Given: I=∫0π2cosθ-2sinθdθ=-1 we know that ∫abfxdx=-∫bafxdx

Q: Find the indefinite integral. ∫(x2 cos x)dx

A: The given integral is ∫x2cosx  dx. Let u=x2  and   dv=cosx dx. This implies that du=2xdx  and…

Q: Find the indefinite integral. ∫cos5 x sin x dx

A: ∫cos5x sinx dx Put, cosx=t⇒-sinx=dtdx⇒-sinx dx=dt⇒sinx dx=-dt

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: The value of the integral (x–1)* sin (x 1) (x-1) +cos (x-1) is

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Q: Find the indefinite integral. sin3 70 V cos 7e de

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Q: Evaluate the indefinite integral. | cos(8z) /4 – sin(8z) da = +C.

A: Let I is the value of given Integral

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: Use the value of the first integral I to evaluate the two given integrals.

A: It is given that, I=∫0π/2cosθ-2sinθdθ=-1 Consider the integral ∫0π/22sinθ-cosθdθ

Q: (a) Evaluate the integral sin* 4x cos3 4x dx

A: a) Evaluate the integral                                 ∫0π8 sin4 4x cos3 4x dx  Let us substitute…

Q: Evaluate the integral: square root of x cos(1+ x to the 3/2 power) dx

A: Evaluate the integral

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: cos x dx

A: The given integral is ∫x2cos xdx We have to integrate the given integral using integration by parts

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

A: Given:

Q: In evaluating / *sin³(2x)cos(2x) dr by substitution, if u = sin(2x) then what will be the resulting…

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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 using any method ∫ sin   cos   d

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Q: In evaluating | *sin3(2x) cos( 2x) dx by substitution, if u = sin( 2x) then what will be the…

A: Here we have to convert the indefinite integral in terms of u and du of the given integral.

Q: Evaluate the indefinite integral. cos x dx (sin x)27

A: Let's find.

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

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Q: | cos x sin xdx

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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 definite integral of sin x -dx 0 1+cos x

A: Given: I=∫0π2sin x1+cos xdx

Q: Evaluate the indefinite integral. cos(8x) -dx 1 + sin²(8x) Answer: +C

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Q: a) Evaluate the integrals using appropriate substitutions. Sine ii) S - de Cos20+1

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Q: In evaluating | *sin3(2x) cos(2x) dx by substitution, if U = sin( 2x ) then what will be the…

A: First we put sin(2x)=u and then differentiate both sides with respect to x and solve it. 2cos…

Q: 2 sin6 x cos⁹ x dx 0

A: See the details solution in below

Q: Evaluate the indefinite integral. 2 sin° (x) cos(x) dx +C

A: In this question, we need to evaluate the given indefinite integral.

Q: Evaluate the integral. 6 sin -1 x dx

A: Given problem:- ∫ 6sin-1(x) dx