1- 1- (Sin (coshx) sinhx dx

Q: sin 6x cos 3x dx

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Q: cos-1 3x dx 3 – 1 – 9x2 * tan-1x dx 1+ x2 4 - n/2 5 –

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Q: sin3x dx 1+cos3x х dx x+4

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Q: Iim tan³x X10 1- Cos2x

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Q: 4 cos 4 cos dx () х3 sin3 4 - у4 - х dx

A: (1) using integration by substitution∫4 cos1x2x3 sin31x2 dxlet   sin1x2=udifferentiate both…

Q: ( sinh3x cosh³x dx

A: Consider the integration as I=∫sinh3xcosh3xdx

Q: |5sin(4x + 5) sin(2x --) dx

A: We need to evaluate the given integral. We will use the formula  Cos(A+B)-Cos(A-B)=-2 SinA SinB

Q: 11. cos4x-cos2 dx sin4x-cos2x

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Q: 4x sin(4x + 5) dx 3.

A: Answer is here

Q: sin S S. cossx (3-2secs)

A: The given integral is ∫sin 5xcos2(5x)3-2sec(5x)dx The derivative formula is ddx(sec ax)=atan…

Q: 1³ csc x - sinx 5 sin x -dx

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Q: 4 f sin(5 – 6x) sin (6x – 4)dx -

A: Here limit are not given so we integrate only without using of limit.

Q: (1+cos3x)² -dx sin23x

A:

Q: cos(2x) dx sinx+cosx

A: Given: ∫cos(2x)sinx+cosxdx

Q: 1-cosx Sin 2x dx

A: Given:  To Find: To evaluate the given integral.

Q: cos x- sin dx 1- sin 2x

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Q: 4 sin-lx dx X.

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Q: 1-S 1-sinx dx 1-sin?x -sin²x

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: |(sin 3x + cos 2x) dx

A: Definition used -                                (a+b)2=a2+2ab+b2…

Q: 6. S sin² x csc² 2 x dx

A: We have to solve

Q: √2 2 sin-¹(x)dx

A:

Q: 8. S sin 2x sin4xdx

A: put 2x=u so that dx=1/2 du.and solve the question.

Q: - y = sin² (-1) y = cos" - y = arctan 0

A: This question is based on general solution of  Trignometric function.

Q: 6³ sin ¹(3x) dx.

A: Solution of given question is written in below steps.

Q: 1. 8e* sin(4x)dx TC

A:

Q: sin(7x 2) dx cos2 (7x 2)

A: Let u=cos(7x+2)differentiate both sides w.r.t. x.Use chain rule for cos(7x+2)From there we get du/-7…

Q: sin(-4x) cos 3x dx 1. 3

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Q: | cos²x dx 1- sinx cos-x

A: Given. f(x) = cos2 x/(1-sinx) We need to calculate the indefinite integration of above function

Q: 비신부 4 x² sin(2x) dx

A: Given : ∫827dxx-x3

Q: 一2 sin2x dx

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Q: ∫√1 - sin^2 x dx

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Q: sin 2x cos 3х dx

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Q: -dx 1 – sin(0)

A: To evaluate the integral.

Q: 2x sin-1(x²)dx =

A: This question is taken from the indefinite integral in which we have to choose the correct option…

Q: 1. 2. dx dx sin²(x² + 2x + 1) [4 tan(3x³) - 5 csc x]

A: To find derivatives

Q: 6. Find [sinh(4x)sin(2x)dx

A: By using integration by part.

Q: 71. cos³ 2x sin 2x dx

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Q: | sin(4x + 3)cos(3x – 5)dx -

A: We have to solve integral

Q: 4:    Y = sin-1 2x 5:    Y = sinh-14x

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Q: [17 sin³ x costx dx 5.

A: Given: I=∫17sin3xcos4x dx. To evaluate: Value of integral I.

Q: ∫cos(15x)cos(4x)dx

A: Integration and differentiation can be considered as inverses of each other. Integration is mainly…

Q: 5. S sinxtanx-cosxtanx dx sinxsecx(sinx+cosx)-5

A: Dear student, as per our rule we can only solve one question in one session. Please post the other…

Q: 2. S CoSx+sinx-1

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Q: sinx find: - dx 3 cos2x +1

A: find ∫sinxcos2x+13 dx first lets simplify it and then find the integral

Q: 5. / x² sin 3x dx

A: We have to find the indefinite integral

Q: —2х Se-2x sin 3x dx

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Q: Evaluate 0 -1 sin ¹(3x) dx.

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Q: -2% sin 4x dx

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Q: -5x sin(2x) dx

A: Consider the given integral