S(sec x tan x – 9x³)dx =. - - sec x – x+c O sec r + x° +c O tan x + x +c sec x + x° + c sec 2 — 29 + с

Q: f(csc x cot x + 3x2)dx csc x – x3 + c csc x + x3 + c - csc x + x3 +c .3 x° + c O cotx + x3+c

A:

Q: b. Stos-¹0 ¹(y) sinx √1+ sin2x dx dy

A: The given integral is, ∫01∫0cos-1ysinx1+sin2xdx dy. To find : Evaluate the integral. To evaluate the…

Q: Evaluate 5⁰⁰ x dx. -∞ x sin 2x x²+3 0

A:

Q: tan Evaluatee 8 sec dv. tan 8 sec e (Use C as an arbitrary constant.)

A: The given integral is

Q: aluate 4e3 tan z sec2 x dx.

A:

Q: JO π 3 sec³ x tan x V √2 + secx dx

A:

Q: In [tan (5 + )| +o sec x dx 4 2

A:

Q: d Find tan1 x + csc¯1 | dx

A: To find ddxtan-1x+csc-1x We know that ddxtan-1x=11+x2 ddxcsc-1x=-1xx2-1

Q: S(csc x cot a + 8x7)dx csc x x8 + c - cs x x8 + c - - - csc x + x8 + c - csc x + x8 + c O cot a + 8…

A:

Q: I 1 -x² + 4x - 5 A B D dx _____ In-x² + 4x −5+ C -tan-¹(x - 2) + C -tan-¹(x + 2) + C tan ¹(x - 2) +…

A:

Q: -cosh(2x² + 1). Evaluate (A) 4xsinh(2x² + 1) B 2xsinh(2x²+1) C) xsinh(2x2 +1) с D (2x2 + 1)sinh(2x +…

A:

Q: f(x) A B = arcsin x, then lim 1/1/12 0 ㅠ 6 f(x)−ƒ( ² ) X→ X- 1|2 is

A:

Q: dx x4+16 Įtan-( x2 + c 4

A: Given that, ∫xx4+16dx

Q: dx 1+x2 A In(1+x²) + c BIn(1+ x²) + c c tan-ix +c 1 x 2 D tan-x+ c IN

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: T/4 35 (tan20tan + 1) sec20 d0 0

A: The integral is given by,

Q: Set u = sec (8x) + tan(8 - x). • Step 1: ● ● ● du dx Step 2: = dx = Step 3: 8( sec (8x tan (8x)) +…

A: We need to find the given integral:       ∫sec28x+sec8x·tan8xsec8x+tan8x dx

Q: S(sec z tanz- 10a°)dx = O sec r + 10 +c - sec z O tan x + x10+c 10 sec x+x + c

A: Given ∫secx tanx-10x9dx

Q: csc² xcotxdx 4. S csc?xc 4-cot?x

A: As per bartleby guidelines we only give first question answers.

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

A:

Q: S(sec x tan x + 10xº)dx %3|

A:

Q: 3 dx x2 + x – 2

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: sec? x 4 TT dx- Evaluate 1-tan x O 1 O-2 O 2 O-1

A:

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

A: Formulae used:…

Q: x.tan 2x - 2x.tan x pute Lt (1.cos 2x)

A:

Q: S(sec z tan z – 3z²)dz -secz – z³ +c sec z + x³ + c sec - * +с tan z + 1³ + c O - sec z + z° +c

A: Use integration rules

Q: S(cscr cot a +4x)dx sec a +x"+c 4. CSc a +x +c sec a+ x"+c O - sin a + a+c CSC a+x"+c

A:

Q: O dx √4-9x² O -1 sin O 1 sec sin 0 1 3 -sec 3x 2 2x 3 2x 3 + c + c +c 3x ¹ (³2) +c

A: Integral

Q: y = 8 tan 5x + 4 cos 3x + 11secx

A:

Q: 1. Evaluate dx sec2 x (a) Ja(x+ 4) (b) A. dx V1- tan?x VT(x + 4)

A:

Q: dx xtan x Evaluate secx+cosr

A: Explanation of the answer is as follows