sin x 6. Evaluate dx. 3 cos x

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A: 3)   ∫-34(5-x2) dx=5x-x24-34                                =54+3-16-94…

Q: sin* x cos? x dx

A:

Q: S cos³ x sin? x dx

A: Let, I = ∫cos3xsin2xdx ⇒I = ∫cosxcos2xsin2xdx ⇒I = ∫cosx1-sin2xsin2xdx ⇒I = ∫sin2x-sin4xcosdx

Q: tan-1 (xy)=3x2+sin-1(y) find dy/dx  this is the correct question sorry.

A: To find: the derivative of the below equation.

Q: sin(x)ecos dx COS X 8.

A: Given,

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A: Given problem:-

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A:

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A:

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A: Consider the following integral:

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A: The given integral is: I=∫0π6 sin2x+tan2xdx

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A: Use formula for the wronskian is determinent form.

Q: sin 2x - dx costx + cos?x

A: Given

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A:

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A:

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A: For the given Definite integral is evaluate by using change of variable method as shown below

Q: 3 T lavi cos x + sin x %3D

A:

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A: Some of the properties of trigonometric  tanx=sinxcosx1+tan2x=sec2x∫1xdx=lnx+C

Q: (sin (x/9)°dx J81-x? ral 2

A: First we put sin-1(x/9)=t and differentiate both side with respect to t and then solve it. Follow…

Q: S3 cos x? dx Cos X 2.

A:

Q: d3 (2 sin x + 3 cos x Find dx3 x³).

A: Given that: d3dx3(2sinx+3cosx-x3)

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A: Expand the statement and then integrate to get the solution

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A:

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A: In this question we used the expansion of function and evaluate the integral

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A:

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A: ∫0π27 sin x1+ cos xdx

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A:

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A:

Q: cos²(x) dx 1+ sin(x) Evaluate:

A: Using the Pythagorean identity we know that cos2(x)=1-sin2(x)So,…

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A:

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A: We have to find integration of sin²x.cos⁴x

Q: S cos x dx. sin? x Evaluate А. - sec x + C В. sec x + C С. csc x + C D. cSc x + C

A:

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A:

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A:

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A:

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A: We have to evaluate the given integral.

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A:

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A:

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A: Let's find.

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A: Please see the answer below

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A: Consider the given indefinite integral

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A:

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A:

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A:

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A: the given integral is: we have to evaluate the given integral

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A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitute…

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A: (ii) ∫sin2x1 + cos x dx Let I = ∫sin2x1 + cos x dx I=∫sin2x1 + cos x ×1- cosx1 - cosx dxI=∫sin2x (1…

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A: Given the integralI=∫sin2xcos2xdx

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A: