Evaluate Stan" (x) sec¹x dx. 1 -tan (+2)(x) +-tan" (x) + C m+2 m 1 1 -tan (+1)(x) + -tan (™-1)(x) + C m+1 777 1 1 tan (+1)(x)tan (-1) (x) + C m+1 1 -tan (+3)(x) + -tan (+1)(x) + C m+1 то m+3

Q: d 1 dr tan? (x)

A:

Q: True or false: For any constant C, d [tan(x) + C] = [sec(z)]²

A:

Q: f(sec e tan a – 9x®) dx O tan x + x° + c - sec x + x° + c O sec a + x° + c sec x – x' + c sec x – x°…

A: Here we will solve the given integral,

Q: If f(x) = tan (3x), then f'(x) = (A) 12 tan (3x) sec?(3x) (B) 4 tan (3æ) sec2(3x) (C) 12 tan (3x)…

A: derivative

Q: / [sec-(x) – csc (x) ]dx Evaluate: A cot(x) + tan(x) +C (B ®esc (x) +sec (x) +C C) © jsec (x) – csc…

A:

Q: Differentiate g(x) = (In(x² + 1) – tan-ª(6x))10

A:

Q: Suppose f(x) =xsec²(x²). Evaluate: ] f(x)dr

A:

Q: Q1) Show that: (b) (cosx) = -sinx =1+* (a) (1+x) =1+6x %3! (e) (VF) = (d) v1+ tan x

A: Note:  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: tan x If f(x) = 3 sec a f (2) = f (1) =

A:

Q: f(a) tan(x) + sec(x) simplifies to where cos(x) f(x)

A:

Q: F(b) = 6-6² 1+6² 2 b = tan x

A: Given problem:- Fb=b-b21+b2 Find F(b) at b=tanx

Q: Find the first derivative of y = Arc tan √x² −1+ Arc csc x 2 O 2 O 0 2 Ox√²+1

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Wouldn't tan(x+pi)-(-sin(x)) yield tan(x+pi) + sin(x)) instead of tan(x+pi) - sin(x))?

A: Yes , there is a mistake on that question. I give u correct solution .  tan(x + π) - cos( x + (π/2))…

Q: Evaluate / 3 x sin(x)dx 03 (sin(x) – x cos(x)) + c Osin(x) – x cos(x) + c 03 x sin(x) + 3 cos(x) + c…

A:

Q: Can you help me with this?

A:

Q: S(sec x tan x – 4x³)dx = - o tan x + х* + с sec x x4 + c sec x + x4 + c - sec x + x* + c - sec x x4…

A: Some of the properties of integration ∫f(x)+g(x)dx=∫f(x) dx+∫g(x) dx ∫xn dx=xn+1n+1+C ∫ (sec x tan…

Q: Solve (tan(z) - 1) (3 tan(x) +√3) o over the interval (-∞, ∞).

A: Here is the solution:

Q: cos(2x)–1 lim x'+ 5x ? 3

A:

Q: D,(6 tan x) 6 sec² x sec² x (c) D,(In |6 tan x|) %3D 6 tan x 6 tan x tan x

A: Consider the given function as Dxln6tanx

Q: [sec² x (1 + tanx) Vtan² x – 9 tan* x| dx

A: Formulae used:…

Q: 6. (a) Express cos (2 tan- ) (b) Express sin (2 cosx) as an algebraic expression in x. (c) Express…

A:

Q: Let h(x) = tan(3x + 7). Then n'(5) is and h'"(5) is

A:

Q: [(2tan(x)/1+sec(x))+(2+2sec(x)/tan(x))]=4csc(x)

A: Consider the left hand side,

Q: Prove that: 3 (0) 2³ ( 1 - 4 ² ³ ; x ²) = + sin²¹ x (b) 2₁ (¹-x²) == tan²¹ x 1 H

A: