g. cOS x Vsin x dx

Q: b) S sin 2 x cos x dx

A:

Q: y = In (sin x) Find dy dx

A:

Q: Evaluate ]e * cos (7x) dx. Seex cos (7x) dx = %3D

A: Explanation of the answer is as follows

Q: d [ sin(x)cos(x) dx dx 1+x4

A: Find the integral

Q: e (a) S sin* x dx

A: Apply reduction formula:∫sinnx dx = n-1n∫sinn-2(x)dx - cosx. sinn-1(x)nwith n=4∫sin4x dx =…

Q: dy = Cos (x +y + 1) 15. dx

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Q: (16) cos (xy) find dy/dx

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Q: nasin(hx) cos(bx)dx

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Q: Find dy/dx if y= tan-1(x/(1-x))

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Q: j) S(sin³x cos x)dx

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Q: cos s x dx 2. S: Vsin x

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Q: S cos*x sinx dx

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Q: J cos 3x cos 4x dx :

A:

Q: S(sinx + cos x)² dx

A: To find: The integral of . Formula used: Algebraic formula: Trigonometric formula: Integration…

Q: 4 Find dx for y = - +7 sin x. X

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Q: 2. dy + ycotx = 1 dx

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Q: find dy>dx.

A: y=cosxx+xcosx Differentiate the above function with respect to x.…

Q: Find integral.

A: The given integral ∫cosxsinx dx can be evaluated as, Put, cosx=t Taking differential on both sides,…

Q: (d) ƒ sin(1 – x)(2 – cos(1 – x))ª dx

A:

Q: Differentiate y = e*cos x У'3

A: To find the derivative of the function which is exponential in nature

Q: S[cos 3(x/3)]dx

A:

Q: dy = sin(x+4) dx

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Q: 4. ["s 0 sinx + 2 cos x dx

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Q: dy - y cos x dx = y ln [yedk COS x]

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Q: Differentiate. y = e cos x + Cos( ex)

A: Given- y=ecosx+cosex To find- The value of the derivative of the above function. Formula used-…

Q: S sin'x·cos'x dx

A:

Q: S cos^3 (x/3) dx

A: ∫ cos3(x/3) dx ∫ cos(x/3) cos2(x/3) dx  ∫ cos(x/3) (1-sin2(x/3)) dx.         ..(1) (Beacuse…

Q: (e) /s sin (x) cos (x) dx

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Q: b) S. cos x cos 7x dx

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Q: find dy/dx. y = 3/x+ 5 sin x

A: We have to find the derivative.

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

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Q: dy evaluate dx (sinx+1) y = (cosx+1)'

A: Given,          y=sinx+1cosx+1

Q: xcos( x), sin(x) 8. dx = LHIN

A:

Q: . Ssin's cosʻx dx COS COS

A: First we divide numerator and denominator by 26 and then use the formula sin(2x)=2sinx cosx  And…

Q: dy cos x + v sin x = sin x cOS X dx

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: find dy/dx. ƒ(x) = x3 sin x cos x

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Q: Find Se2= cos(x)dx.

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Q: d (cos – sin) dx 4

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Q: CM 2: S cos"x sinx dx

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Q: S sin x (1+ cos 2x)² dx

A: In some cases integrals can be converted to standard integrals using an appropriate substitution.…

Q: find dy/dx ,y=sinx+cosx

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Q: S. X CoS 2x dx

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Q: Sn cos® x dx

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Q: 2. cos(y)dx= x(sin(y)-x)dy

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Q: d le" cos.x) cOS x dx

A: Given ,  d/dx(ex cosx)  We know that  d/dx(uv) = u'v + uv'  Here ,  u = ex and v = cosx Then ,

Q: find dy/dx where y=cosx +sinx

A: Given, function is

Q: find dy/dx if y= x.sinx

A: Given function is y=xsinx. We have to find the dydx. Use multiplication rule of derivative…

Q: Differentiate the function y = 2 ln (cos(x)).  dy/dx =

A: