(D² – 2D- 3)y = 2sin x a. y, = -cosx – 2 sinx =csx COSX b. y, = --cosx - - sinx COSX c. Y; = - cosx + = sinx Yp = COSX +-sinx d. y, =cosx +sinx 5.

Q: Sinxtsina3x COSX+ COS 32 tan 22

A:

Q: ·S Evaluate cos x sin³ x dx. + C

A: To evaluate the following integral.

Q: S./2(sec²x – cos²?x – tan²x)sin5xcosxdx -

A:

Q: cosxdx 3T +Sinx

A:

Q: 1+cos2x 3. cotx sin 2x

A:

Q: csc(sec-1 2) + cos(tan-(-v3).

A: Given data:     The expression for the given function is: csc(sec-12)+cos(tan-1(-31⁄2).   The given…

Q: Cosx Differentiate Tam 1+ cosx

A:

Q: x+(1/x)=2 cos theta , then show that x2+(1/x2 )=2 cos2 theta

A:

Q: cos (2x) dx sinx+cosx COS Evaluate:

A: the given integral is: ∫cos(2x)sinx+cosxdx we have to evaluate the given integral.

Q: Find   cos(u2)cos(u2)   if   secu=9.545

A:

Q: (1+cos3x)² -dx sin23x

A:

Q: dy Find dif sin x + 2 cos 2y) = 1 dx

A:

Q: How does -cos(3t)sec(3t) equal -1?

A: given  -cos(3t)sec(3t) = -1

Q: Cos(11°+x)=-sin(2x+6)

A: x

Q: Evaluate tan (7x +1) sec³(7x +

A: Given that: ∫tan5(7x+1).sec3(7x+1)dx

Q: I+ Sin2X t Cos 2x COSX

A: Given,           1+sin2x+cos2xcosx

Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: /2 sin aVT-2 cos r dr /3

A: To find the given integration

Q: 5. 4 (secx-1)(sec² x+secx+1) Sª cos² 2x-2 cos 2x+1 -dx

A: Indefinite integral is the process through which one can determine the function which on…

Q: 4sinx •cotx / cos2x + 1

A: You know:

Q: • / esc" (2) dz (z) dz 19.

A:

Q: sketch the graph of the function Qu, y= 3 sin tx -1

A: Given function is  y= 3sin(x/2)-1

Q: tan x dx sec x+4 cosx 5.

A:

Q: Differentiate y = 5 sin(2x-4). O a) dx = = -5 sin(2x-4) о O b) ad ax O c) = 5 cos(2x-4) = -10 sin(2x…

A:

Q: Evaluate: Scos 2xdx cos2x, cos 2x +C A 2 6 sin2x sin32x +C 6. B 2 cos2x cos 2x + C 6. 2 sin2x,…

A:

Q: 4. tan²B + 1 = sec² B

A:

Q: cos2x+1 CSCX cosx 2 tanx+cotx

A: cos2x+12=cosecx.cosxtanx+cotxL.H.S.=cos2x+12we know that…