substitution and partial fractions to find sec x dx tan? x + 7 tan x + 12

Q: sin sin 3x = 2 co 4 sin x cos x - 4 sin x cos x X COS X vith the left-hand side, use a Sum-to- sin…

A: Here we have to verify the idnetity,  sin5x+sin3x4sinxcos3x-4sin3xcosx=2cosx

Q: nti-differentiate using an appropriate technique ∫sec^4x tan^2xdx

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Q: 10(sec? z – tan? x – 10) sin x + cos2 x sin x 3 O -90 sec O 10 csc x -90 csc : -90 sin æ

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Q: cos a-sin a sin a cos a sec a csc a-2 tan a 8. cos a+sin a secx-1 sin x 9. secx+1 1+cosx secx-tanx…

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Q: f(x) = 5 tan (2 ex) f'(x) = O (Type an exact answer.)

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Q: 1. sin x csc x = 1 2. tan x csc x + cotx sin x = sec x + cos x Pythagorean Identities 3. cos? x (1 +…

A: Given

Q: (sec x -1)(sec x-1)

A: To multiply: (sec x -1)(sec x-1)

Q: 1. sin x csc x = 1 2. tan x csc x + cotx sin x = sec x + cos x Pythagorean Identities 3. cos? x (1+…

A: Given

Q: [ sec* (x) tan“ (x)dx 으sec? (x) + sec' (x) + C 0tan? (x) + 능tan' (x) + C 06 tan (x) + 4 tan“ (x) + C…

A: According to our company policy we can answer only first question and rest can be reposted

Q: 3. tan(xy) + xy -0

A: Question number 3,Given,           tanxy+xy=0To find : The second derivative, y'' of the given…

Q: lim (x, y)-(0,7/4) sec x tan y

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Q: n'(w) -1 4. f(w)= sin(w)+ w° tan" %3D sin (x) 5. h(x)= 1+x -1 %3D

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Q: Scos x(tan x + sec x)de

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Q: n Σ tan(kx) tan ((K+1)x) K=A

A: Given,           ∑k=1ntan(kx)tan(k+1)x

Q: sec*(x) dx. Vtan(x) a) Vtan(x)[5 + sec²(x)] b) V sec(x)[5 + tan² (x)] c) V tan(x)[6 + tan? (x)] d)…

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Q: ( 1+cos 4x dx 1-cos 4x Evaluate O None of the choices. Please refer to my solution. 2 csc 2æ - x + C…

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Q: [3 + x? cot(x²)]-3 -3[2x cot(x²) – 2x³ sec²(x²)] [3 + x² cot(x²)]4 A -3[2x cot(x²) + 2x³ sec² (x²)]…

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Q: sec x tan xdx = (sec x) - 5(sec x)° + c - (tan x) - 5(tan x)° + c 1 (sec x) - (sec x) +c 2(sec x)* °…

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Q: 12(xsec x + tan x) The integral dx is equal to (x tan x+1)2 +1)²

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Q: Reduction Formulas Assume n is a positive integer. sin"-x cos r n-1 n - sin"-2 x dx 1. sin" x dx %3D…

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Q: cot2 x+1 2. sec(2a) 11 cot2 x - 1 1

A: We will start with the right side. Replace cot x by cosx/sinx Then use LCD to add or subtract…

Q: If sinh x = find tanh x, and sech x. 12' tanh x= (Type a simplified fraction. sech x= (Type a…

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Q: sec x tan xdx = None 음 (tan z)-(tan z) +c 3 tan x)* + c 10 (tan z)* - 3(tan z) +c - 3(tan x) + c…

A: To evaluate the given definite integral.

Q: sin(x - y) sin(x + y) = -tan(y) cos(x + y) + cos(x - y) Use the Addition and Subtraction Formulas,…

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Q: sec2 x tan? x + sec x (sec² x + 1) dx sec x tan x (seс? х + 1)

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Q: [(3 csc² x-1)dx a. – 3 tan x – x +c O . – 3 sec x – x +c - 3 tan x + c d. -3 cot x-x+c

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Q: sec'x-1 X1-X Sin?x 2 X sec

A: To prove thatsec2x-1sec2x=sin2x

Q: We are trying to prove identities

A: Proof:The given Trigonometric identity is 2 tan(x)/(1+sec(x)) + (2+2sec(x))/tan(x)= 4csc(x)The left…

Q: sin? (x²–4) 2 lim x→-2 (x–2) tan (x+2)

A: I=limx→-2sin2(x2-4)(x-2)tan(x+2)I=limx→-2(x+2)sin2(x2-4)(x+2)(x-2)tan(x+2)I=limx→-2(x+2)sin2(x2-4)(x…

Q: sec x tan' x = (tan? x + tan° x)sec x (tan? x + tanº x)sec6 x )(1 + tan? x)(sec x) - (tan7 x) sec x…

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Q: (a) Use integration by parts to verify the reduction formula [cos xdx = cos xsm x , n-1 (cos"² xde…

A: Let ux and vx be any two functions. The integration by parts method is used to evaluate the integral…

Q: csc(x) cot(x) 2-csc(x) a. b. In(2-csc(x)) + C O c. -2 In(2-csc(x)) + C O d. In(2-csc(x)) + C dx…

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Q: (x²–1)dx (x2 – (x*+3x² +1)[tan-1 The evaluation of is In |tan-1| + e -In |tan-| + c (i) (ii) (iii)…

A: To find the correct answer, we will differentiate the option one by one and check which matches the…

Q: tan A + sec A + 1 tan A The expression -is equal to sec A – 1

A:

Q: secn-2 1 8. Derive the reduction formula sec" r dx a tan a + sec"-2r dr.

A: To derive the reduction formula.

Q: c) sec" (x)dx = sec"- x tan x n-2 n– 2 | %3D sec"- xdx n-2 n-1 n-1

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Q: 5) tan(x - y) = 1+x2 y %3D 6) y = tan(x). %3D

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Q: lim z?e = Z→-3i Select one: O a. 9 cos 3 – 19 sin 3. O b. 9 cos 3 + i9 sin 3. O C. -9 cos 3 + i9 sin…

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Q: Exercies: 1) Show that 21 x P(x) P-1(x) dx = 412-1

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Q: S tan³ x sec x dx sec3 x - sec x + С none of the choices sec³ x + sec x +C 1 sec3 x + sec x +с В

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Q: f(x) = 7 sinh(x) cosh(x) ress numbers in exact form. Use symbolic notation and fractions where

A: In this question, the concept of the Maclaurin Series is applied. Maclaurin Series The Maclaurin…

Q: Find the limits

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Q: sec¹ x - 2 sec² x tan² x + tan² x 4 1 O Opción 1 O Opción 3 0 Opción 2 -1 NO HAY O Opción 4

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Q: (x²-1)dx (B) The evaluation of S. -dx is (x*+3x2 +1)[tan-1(*-1); (i) In |tan-|+c (ii) -In |tan"|+c +…

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Q: sec4 x 21) tan3/2 x A) _ -1 + C tan1/2 x B) - 14 tan- 1/2 x sec4 x + 7 tan-3/2 x sec5 x+ C C)? tan-…

A: Here is the solution

Q: tan-1 x (х-у) tan-1 x+y. > -1 y(x+y) where ().

A: Known fact: tan-1A-tan-1B=tan-1A-B1+AB.

Q: (x²–1)dx -dx (x*+3x² +1)[tan-1( (В) The evaluation of is ) In tan-|+ -Imlcan-1(기 +c (ii) (iii) None…

A: The solution are next step

Q: x2-7x+12 36. lim X-4 x2-16 a. 0.12 d. 0.15 b. 0.13 c.0.14 cot x-cscx 37. lim a. -4.17 b. 4.17 C.…

A: 36.limx→4x2-7x+12x2-1637.limx→π4cot2x-cscxtan15x38.limθ→0tan(5θ)sin(2θ)

Q: sin? (r² – 4) lim 1-2 (r + 2) tan(x² + x – 2)

A: To evaluate the given limit.

Q: tan (z) sec (z) sec" (z) dz is equal to: Scos (2) +C -3sec" (2) +C tan (2) sec (z) O 3se" (2) + C…

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