L, sin 8x cos 15x dx

Q: dy If x=5+cos20 and y=3- sin20 , what is ? dx

A: The solution for the above question is as shown below.

Q: b) S sin 2 x cos x dx

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Q: , π/2 cos x esinx dx=?

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Q: sin in dx X COS21nx

A: A detailed solution is given below.

Q: sin(l nx)dx = ?

A: According to the given information, it is required to solve the given integral.

Q: Evaluate [/3 cos(x) In (sin(x)) dx T1/6

A:

Q: J cos 2x sin 3x dx

A: To find: The integral of ∫cos2x·sin3xdx. Formula used: Trigonometric formula: 2cosA·sin…

Q: 7)S sin2xcos* x dx

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Q: 2x sin- (x2) dæ dar 0,

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Q: Evaluate. S(sin x)e* dx

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Q: a) y = sin x² cos 2x 4.

A: Given: y=sinx2cos2x, y=cos4sec23x We know that ddxuv=vdudx+udvdx…

Q: Find dy dx tan/ sin3x) + eos (cos. .....

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Q: a) (sinx + cos 2x)dx (+1) do b) S dx c) S (x+2)(x2-6x+5) 8 cot(In 8)

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Q: b. x sin 2x dx

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Q: 2. S(cos4x – sin*x) dx

A: we know that , a 2 - b 2 = ( a + b ) ( a - b ) And cos( 2x ) = cos 2 (x) - sin 2 (x )

Q: fr. sin ax cos 3x dx

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Q: , I- Se* . sinh 2x dx

A: Since you have posted more than one question, we solve the first one for you. For the remaining…

Q: 1. x sin dx

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next…

Q: (b) ( cosx) = -sinx dx

A: To Determine: find the derivative of cosx Given: we have a function cosx Explanation: we have a…

Q: Evaluate the inclepinite infegral Cos 3X +3 dx Sin 3x

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Q: d (cos x) H.W.: show that -sin x %3D xp

A: Given: To show ddx(cos x)= -sin x Definition : Derivative of f(x) w.r.t. x is defined as:…

Q: y tn Sin5x

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: dx Sin cosx 2.

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Q: 5. Sx? cos 6x3 dx %3D

A: We have to evaluate the given integral by using theorems of antidifferentiation.

Q: (d) (sin(x + cos(2x + 3√)))'

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Q: Find if y = sin /- cos r and r= 1+ cos-x %3D dx

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Q: i. S(sin(4x) + cosh(3x))dx

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Q: If y = cos(sin(2.x)), find . dx

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Q: 36. sin x dx, with 6 rectangles using the Right Hand Rule.

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Q: Evaluate the integral. sin 8x cos 9x dx

A: Given that ∫sin8xcos9xdxSolution :…

Q: Se2* (sin x + cos x)dx

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Q: A. sin(3x) dx

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Q: 9. . 2 CoS cos rsin?x dx. 10. 2 sinºx dx

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Q: 4. COS dx sin?

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Q: Solve to Find if cscx – ) dt = 4 – y? tanx sinx+1. dx

A: Here we have,  a) y+∫xsecx1sint+1dt=xy b) cscx-∫tanxxy1sinx+1dt=4-y2

Q: find d^2/dx^2(sinx+cosx)

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Q: So sin(x)dx

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Q: Evaluate the integral. sin (20x) cos (11x)dx

A: Evaluate:

Q: Find Se2= cos(x)dx.

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Q: Cos (Jx) dx

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Q: d (cos – sin) dx 4

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Q: Evaluate sin integral (4x) cos(5x) dx

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Q: What is d/dx sin x ?

A: To find the derivative of sinx (ie) To find ddxsinx

Q: 1 dp- sin x cos x cos?,

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Q: cos(3x + 2) dx

A: This is based on simple integral formula

Q: da (cos ( 3x) sin( 2æ)) dæ

A: