If y=tan(arcsec/x), then dy/dx is x- 1 A 2(x – 1) sec2(arcsec/x) В 2x sec2(arcsec/x) D none of the given choices E 2(x-1)

Q: Find if sin x + 1 = cos y dx2

A:

Q: Find sec42x -dx tan 2x A --—-—-cot²2x-—-—-cot³21+ C 16 cot82x) (4sec22x-1) B -(cort2x) 4 12 11 1 C)…

A:

Q: Determine 3 sec(9x) tan (9x) dx

A: We have to determine the value of integral: ∫3 sec 9x tan 9x dx Solving given indefinite integral by…

Q: - sinx) dx 2. 1. (COSX (ax' +b)*x dx 2. 2/3

A:

Q: 9x dx VI-9x -/1-9x2 +C -1 arcsin 3x + C + C 3(x3 – 3x)

A:

Q: Salve for x if Arc tan (1- x) + Arc tan (1 + x) = Arc tan

A: Our Aim is to solve for 'x' if tan-11-x+tan-11+x=tan-1x -(i)

Q: Find sin y if sec y= (√30)/5 and tan y

A: Given,secy=305siny = ?tany = ?

Q: sin 3x dx 3-10cos3x 10.

A:

Q: Show that Cosx dx 9- Sin 3D

A:

Q: dy If y = tan-[ sec2(5x² + 1) csc-3 (cos 3x)]. Find

A:

Q: 1 √₁-² 1- Evaluate -dx (1 - 3x)²

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: What is tan-¹(2x²+1)³? dx 1 (2x² +1) +1 3(2x² + 1)² (2x² +1) +1 12x(2x² + 1)² (2x²+1)6+1 x²(2x² +…

A:

Q: csch (2 sin2x)dx 1. 1– 4x²

A:

Q: 7/4 (sec² x – sin x)dx

A: 1. ∫sec2x dx=tanx 2. ∫sinx dx=-cosx 3.∫(u±v)dx=∫u dx±∫v dx 4. ∫abf(x) dx=F(b)-F(a), where ∫f(x)…

Q: S sec² (7t) tan² (7t) √1 – tan² (7t) dt

A: Given integral:- ∫sec27ttan27t1-tan27tdt

Q: Using appropriate substitution, [sec (2x) + 1] tan(2x) dx is equal to

A:

Q: Ssin8 (3z) cos5 (3z) dz

A:

Q: J + tan x)² sec x dx

A:

Q: | 3sec" (3x) tan (3x) dx

A:

Q: sec² (x) tan° (x)dx

A:

Q: f Lan 2X e *3 of +sec2X Pinel dy o

A:

Q: tanx sec² x.dx COS X √√2+ sin x dx

A: