sin z Verify the identity sec a = cos z COs z 14 sin z Then use the identity to derive the basic integration rule J sec a dx = In|sec a + tan a|+C.

Q: Find  (f −1)'(a). f(x) = 3x3 + 3 sin x + 3 cos x,    a = 3

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Q: cos (x sin )=√₁ (x)+2 J₂ (x) cos 26+2 J₁ (x) cos 44+... sin (x sin )=2 J₁ (x) sin +2 J, (x) sin 36 3…

A: Using generating function of Bessel functions

Q: sin 0 lim 0lr tan 0 O a. 0.5 O b.0 O c. 1 O d. 1

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Q: stion 30 Complete the integration: Ssin (x)cos°(x)dx x sin (2x) sin³(2x) 16 32 Determine the value…

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Q: Evaluate the definite integral 3 2 sin (z)dr using Part 1 of the Fundamental Theorem of Calculus. 4…

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Q: (1 point) Evaluate the integral e 24 cos(-3t) dt Note: Use an upper-case "C" for the constant of…

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Q: cosh (T– i) = eT cosl - i eT sin 1 + e-" cos 1 + ie- sin 1 - IT 2 e cosl - i eT sin 1 + e" cos 1 +…

A: First option is correct answer. Thankyou!

Q: 1. tan 30d0

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Q: Show that sec x = (sin x / cos x) + (cos x / 1 + sin x), then use the identity to drive the basic…

A: (i)…

Q: sin 50 do 1+ cos 50 Evaluate the integral using the substitution u = 1+ cos 50. sin 50 do 1+ cos 50…

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Q: sin x Show that secx = cosx - then use the identity to derive the basic integration rule f secx dx =…

A: RHS=sinxcosx+cosx1+sinx=sinx1+sinx+cos2xcosx1+sinx=sinx+sin2x+cos2xcosx1+sinx=sinx+1cosx1+sinx=1cosx…

Q: Prove the identities sinh (x + y) = sinh x cosh y + cosh x sinh y, cosh (x + y) = cosh x cosh y +…

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Q: eiz-e-iz 1. Show that Sin z 2i

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Q: (1-cos 6x)dx 1+cos 6x c. tan3x – x+ C Perform the integration:S A. tanx – x + c B. -tanx – x+ C 3 3…

A: To find given integral.

Q: 3. Calculate the indefinite integrals for the following functions as integrands (section 8.2): (a)…

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Q: Evaluate the integral. 6 sin 0 + 6 sin 0 tan² ® sec2 0 a/3 de

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Q: Show that

A: Given: verify that secx=sinxcosx+cosx1+sinx for verifying given identity, we solve left hand side…

Q: 45. cos(In a) dr First make a substitution, then use integration by parts.

A: NOTE: Refresh your page if you can't see any equations. . .................(1) substitute…

Q: cosh (T- i) = %3D e cosl i e sin 1 + e- cos 1 + i e- sin 1 e cosl i e sin 1 + e-TI cos 1 ie- sin 1 2…

A: We know formula of coshx in term of exponential form

Q: Use integration by parts to prove the formula. ( assume that n is a positive integer.)

A: we have to use the integration by parts to prove the formula: ∫xncosx dx=xnsinx-n∫xn-1sinx dx   as…

Q: Antiderivative of sec(3x)tan(3x)

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Q: 91. Prove the integration formula tanx dx = In | secx| + C (a) by using algebra and integration by…

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Q: tan x Evaluate the integral / da 2 tan x -

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Q: 3. Double Integration Evaluate the equation below sin 0 r3 cos 0 dr d0 0. 브2

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Q: Prove the pollowing identity.. (sin x t cos L cas x)- sin 2X-CoS T Sin'x + Cosx

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Q: tan(x) dx cos4(x) tan'(x) A [7tan²(x) +9] + C 36 1 ℗tan'(x) + tan³(x) + C C D sin²(x)sec³(x)…

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Q: integral ecos(4t) sin(4t) dt

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Q: ( 3cos³x-1 To evaluate the integrand can be transformed to 1- sin?x O [(3cosx - sec?x)dx o f3cosx (1…

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Q: sin5(θ) cos(θ) dθ     ,    u = sin(θ) find integral by making the given substitution

A: Substitute u=sinθ,du=cosθdθ.

Q: 1. Integrate: Transformation by trigonometric formulas X x 1.1 sin sin dx 5

A: Use trigonometric identities,                                          sin2x + cos2x = 1

Q: Using an appropriate substitution, cos x-sin x the integral Jo cosx+sin x dx equals: 0 cosx+sinx 1…

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Q: using property of beta function prove that 57 32 S sin'x dx

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Q: What is the integrable form of / sin-c cos-sin@ do? 2 -2 | sinu du 2 | cosu du 1 – u² du u² – 1 du

A: In this question we have to find Integral form of the given Integral.

Q: (1-cos 6x)dx Perform the integration:S 1+cos 6x tanx - x +C c. tan3x – x+C A. -tanx – x+C D. tan3x –…

A: We have to choose correct option

Q: Find the indefinite integral. |x cos 9mx² dx Step 1 To find the indefinite integral x cos(9tx²) dx,…

A: Given that: ∫xcos9πx2dx

Q: Evaluate the definite integral 27 3 16 sin (x)dx using Part 1 of the Fundamental Theorem of…

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Q: e sec(x+1)+ tan²(x)csc(x) dx

A: Integral ∫esecx+1 tan2x cosecx dx To evaluate given integral

Q: lim E(cos (27x;))Ar over [0,5] COS i=1

A: The definite integral is defined as  ∫abf(x)dx=limn→∞∑i=1nfxi*ΔxWhere, Δx=b-an, xi*=a+iΔx The…

Q: cos e - sin 0 Find a closet rank-1 approximation in the l² norm to A = %3D sin 0 cos 0

A: Consider the provided question, The l2 norm or Forbenius norm(FN) is the square root of the sum of…

Q: Evaluate the integral. sec 0(sin 0 cos 0 + cos 0) de Jo

A: Let I=∫0π/2secθsinθcosθ+cosθdθ

Q: sec (In x) + sec2(In x) tan(In x) dx Given: 2x Find: du

A:

Q: Find the linear approximation to h(y)=sin(y+1) at y=0. Use the linear approximation to approximate…

A: Given: h(y)=sin(y+1) At, y=0

Q: Prove the identities Then use them to show that a. sinh 2x = 2 sinh x cosh x. b. cosh 2x = cosh²x +…

A: Here we have to use the given identities to prove.

Q: Integration of (sin(x) + cos(x)) e^x is ______________.

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Q: Evaluate the integral. "T/3 9 sin(0) + 9 sin(0) tan2(0) sec2(0) do

A: The given integral is ∫0π39sinθ+9sinθtan2θsec2θdθ

Q: Using Fourier Series D (1) Sin (wot) 2 Siu (wot) Cos(wot) Find

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Q: It tan(x) sec²(x)dx (a) Evaluate the integration by setting du = sec²(x)dx; (b) Evaluate the…

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Q: Evaluate the integral. T/3 7 sin(0) + 7 sin(0) tan²(0) de sec²(0)

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Q: tan Find the integration of 1₁ 1+z²

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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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