15. For fe' cos x dx, what is du? cos x e' dx - sin x dx G(e* cos x + e" sin x) + C

Q: The y' of the given function is (1–2 sin? 4x) y

A:

Q: QI) Show that: (a) (1+x)° =1+6x (b) (cosx) = –sinx dx

A: 1.  a  1+x6≅1+6xb  ddxcos x=-sin x

Q: Differentiate y = (-6+sinx)/(x+cosx)

A:

Q: g(x) = 4ecoN " sin x, (0, ] COS

A: Given data:   The given function is: g(x)=4ecosxsinx The given interval is: [a,b]=[0,π].   The…

Q: *T/4 sec² xdx 26. 27. sin xdx TT 28. COS xdx

A:

Q: 11. cos4x-cos2 dx sin4x-cos2x

A:

Q: Scos x vsin x dx (sin x)i-(sinx) +C (sin x)i +(sinx)+c c. (sinx)- (sinx) + C (sinx)i +(sinx)+c A. B.…

A: ∫cos3xsinxdx

Q: /2 sin 2x dx Jo 3+cos (2x)

A:

Q: Poaineter Soe y' ty = cof x

A: we have to find the differential equation by using variation of parameters.

Q: what is y' of y=sin-1(cos x)

A:

Q: 2, " cos“(x)sin*(x)dx

A: To find : ∫0π2cos6xsin4xdx

Q: -S * sin ´sin sin (e*) dx

A: we have to integrate

Q: 1. sin° x cos x dx

A: sin3x cos4x  = sin(x) sin2(x) cos4(x)  = sin(x) (1 - cos2(x)) cos4(x)  = sin(x) (cos4(x) - cos6(x))…

Q: 8e cos 2x dx csc(x) sec(x)

A:

Q: 2) Find f' (=), f" (A), f" (E) given f (0) = sin 30 cos 0

A:

Q: Find y' , for y=Sin-1(Cos√x)+Cos-1(Sin√x)

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

Q: ~|J O 1- Cos 2πTX) dx L x (1. 2

A:

Q: 4 sin' 2x cos 4x dx 4.

A:

Q: 95х 3 5X dx b° sin CoS 6

A: The given integral is ∫03π5sin95x6cos35x6dx

Q: 5. (a) 2e' sin? (b) e cos ?1

A: