105. Prove 2* dx < 4 and 3-* dx VI

Q: 5. Integrate: [tan(7x)dx

A: 5) The given integral is ∫tan7xdx

Q: Find the indefinite integral ∫sec5 x tan3 x dx

A:

Q: 6. tanh (0.573 - j0.783)

A:

Q: | 35. Prove the reduction formula for n > 2: cosh" x dx = cosh"- x sinh x + cosh" п-2 хdx п n-1 п п

A:

Q: Evaluate the integral. sin 4x cos 9x dx |sin 4x cos 9x dx =

A: topic - indefinite integral

Q: find integral tan 5 x sec 7 x dx

A:

Q: Prove 9 coshx – 5 sinhx = 15

A: This is hyperbolic function equation so we want to find x value by thi equation so. firstly, we…

Q: Evaluate the indefinite integral: ∫ sec θ tan θ(sec θ − 1) dθ

A: Given: ∫secθ tanθ (secθ-1) dθ

Q: Prove: cosh 3x = 4cosh'x- 3 cosh x %3D

A: We will solve the following.

Q: 17 0 in QII 32. sec0= - mot 15

A: Given:secθ=-1715,  θ in quadrant 2

Q: Find the indefinite integral ∫ 3√(tan x) sec2 x dx

A: ∫tanx3sec2x dx Now put tanx=t⇒sec2x=dtdx⇒sec2x  dx=dt

Q: 2. Use local linear approximation to estimate (31.62). Th

A: Given- (31.62)45 To use local linear approximation to estimate (31.62)45. Linear approximation is…

Q: Compute : , log,(cosx) d dx - sin x A. (In 2). cos x 1 B. (In2).cosx -(In 2). sin x C. COS X -In2 D.…

A:

Q: 3x² dx

A:

Q: Evaluate the indefinite integral: ∫ sec2 x tan4 x dx

A: Evaluate the indefinite integral. ∫sec2xtan4xdx Let tanx=tsec2xdx=dt

Q: Find the indefinite integral ∫cosh2 (x − 1) sinh(x − 1) dx

A:

Q: Find the indefinite integral ∫sec6 4x tan 4x dx

A:

Q: 4) What integrals lead naturally to inverse hyperbolic functions?

A:

Q: 4. Show that sinx can be approximated by x-x³/6 within 0.01 on the interval [-1,1].

A: see my solution

Q: Find the indefinite integral ∫tan3 x/2 sec2 x/2 dx

A: we have to find the value of indefinite integral  ∫tan3x2sec2x2dx let the given indefinite integral…

Q: 9 coshx - 5 sinhx = 15

A: Note the following result : cosh x=ex+e-x2  sinh x=ex-e-x2 . In above formula , x∈ℝ . To solve the…

Q: find integral sqrt (1 - 4x 2 ) dx

A:

Q: Show that O tanh(In x) = x² -1 O (cosh x + sinh x)" = cosh nx + sinh nx %3D

A: From the given problem:   tanhlnx=x2-1x2+1   As we know that :   sinhx=ex-e-x2 ; coshx=ex+e-x2   So,…

Q: In the indefinite Integral Sin(cosh x + ex). integrand? sinh x + ex cosh x + ex dx, what is the

A:

Q: 7. Integrate. S tan50 sec³0d0

A:

Q: */16 etan(1r) sec2(4x) dr

A:

Q: Show that O tanh(In x) = (cosh x + sinh x)" = cosh nx +sinh nx

A:

Q: (2x³ + 5x-4) dx

A: Solved below.

Q: Find the indefinite integral. ∫ sinhx / (1 + sinh2x) dx

A:

Q: 1 dx Ji x/1- (In x)²

A: ln x = tdxx = dtx=1 → t = ln 1, t=0x=e → t = ln e, t=1   I = ∫01   11-t2  dtFormula:∫ 1a2-x2  dx =1a…

Q: Evaluate: 2) x-In x dx

A:

Q: If Z= sinh () x- show that:

A:

Q: CK Show whye* dx does or does not converge.

A:

Q: Compute ∫xsin(3x−2)dx.

A: Let the given

Q: Evaluate integral x^2e^-x^3 dx

A:

Q: Evaluate the indefinite integral. Sum tan (6x) sec(6x) dx

A:

Q: Use differentials to approximate radical (48.7)

A: Ne need to approximate √48.7 using differentials.

Q: Evaluate ( Sech²(In x) dx

A: In this question we will use basic of calculus i.e concept of integration. First we will convert the…

Q: if X #0 メ=ロ Frnd continuous

A: given the function fx=xx if x≠00   if x=0 we know that x=x if x&gt;0x=-x if x&lt;0 therefore,…

Q: how do you express lim,,→ Li=1 Σ! as п 1+ definite integral

A: We know that

Q: find intial value problem of constant c as a function of x

A: Given : The differential equation is : xy'+4y=6ex and y(x)=-4xy'+4y=6ex We have to find intial value…

Q: If Z= tanh) show that: *

A: The given function is z=tanhyx We have to prove that x∂z∂x+y∂z∂y=0 ∂z∂x=The partial derivative of z…

Q: How would I find the UPPER Riemann sum when n=6 for sinx over the interval [0,pi]

A:

Q: Find integral 2  to 5    1/ sqrt  (x -2 ) dx

A:

Q: Evaluate the definite integral. 1 cosh24x sinh 4x dx

A: Note that the following results are to be used for the given question: (i) sinh x=ex-e-x2 (ii) cosh…

Q: ∫−∞0 (2x/(x2+5)3) dx

A: Given,   ∫−∞0 (2x/(x2+5)3) dx

Q: 13) Estimate tan(44°) using linear approximation.

A:

Q: Use differentials to approximate tan (43°). Round to 4 decimals.

A: Approximate to tan(43°) using the differentials ,