Estimate cos(x²)dx by using a right-hand sum and 4 subintervals. |cos(x²)

Q: sin(x) + 2 x4 +1 5. Determine if the integral dx converges or diverges.

A: Cauchy integral test : For an>0,let ∑n=λ∞an is a series of positive  terms. Then ∑n=λ∞an is…

Q: In( cosh(9x) - sinh(9x) ) - In( cosh(10x) + sinh(10x) ) = Select one:

A: Solution: The objective is to find the value of the given expression

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

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Q: Evaluate the integral ∫sin5 x/3 cos x/3 dx

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Q: Calculate the higher derivative. (Use symbolic notation and fractions where needed.) d² dt² -8 cos²…

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Q: cos x ln(x - *) *-+ In (e-e*) 6. lim

A: Topic:- limits calculus

Q: x sin 4x b. lim x-0 1-cos3x

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Q: Q2 : Evaluate the integral sin x dx 1-sin² x

A: To find the integrations.

Q: solve using reduction of order (D^2+1)y=tanx

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Q: (sin(x)²) dx Is it converges?

A: Given integral is ∫0∞sin(x)2xdx firstly we will find the simplest form of integration. We have…

Q: Evaluate the indefinite integral. [ (sin-æ)3 dx : +C. V1 - x2

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Q: 6. Solve the definite integral ro e(arcsin(x)) dx. V1 - x2

A: the value of the integral is 1-e-π2 see below the answer and calculation

Q: 2*csch( 2*) d x cosh(2*)-sinh(2*)

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Q: Evaluate f x² cos 4x dx Evaluateſ sin* 3x cos3 3x dx Evaluate the integral J x²+x-1 dx x(x²-1)

A: Given:   i) ∫x2cos 4x dx      integrate by parts ∫fg'=fg-∫f'g     here f=x2,f'=2x , g'=cos…

Q: Find the indefinite integral ∫ sin x /(7 + cos2x) dx

A: To Evaluate: Integral ∫sin x7+cos2xdx                                                   (1)

Q: Find the indefinite integral. X cos 8TX2 dx

A: To evaluate the integral: I=∫x cos 8πx2 dx⇒I=∫cos 8πx2 x dx...(1)

Q: Find the indefinite integral. ∫(x2 cos x)dx

A: The given integral is ∫x2cosx  dx. Let u=x2  and   dv=cosx dx. This implies that du=2xdx  and…

Q: 6) Using gamma function, evaluate So 6 хе 2x dx

A: Introduction: Gamma function is an integral function that is defined through an integration. The…

Q: elin (sin x+ cos x) dx 1. S ecosx

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Find the indefinite integral

A: To find the indefinite integral: ∫sinx7+cos2x dx Solution: Let substitute t=cosx Differentiating…

Q: Compute for a real root of 2 cos T – sin T = accurate to rignificant figures using Fixed-Point…

A: The following steps are used to find the numerical solution of the equation fx=0 by the fixed point…

Q: Find the indefinite integral. ∫cos5 x sin x dx

A: ∫cos5x sinx dx Put, cosx=t⇒-sinx=dtdx⇒-sinx dx=dt⇒sinx dx=-dt

Q: tion of the differe = e-x + x2 is

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Q: Evaluate the integral ∫(sin-1(x/5))2/√(25-x2) dx

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

Q: (ii) Show that 1 d (tanh-1 x) = dx 1- x2 Hence, or otherwise, show that, 27 tanh-1x dx =- In 4 2. 1…

A: Evaluate: and

Q: lim (x approaches 0) of [sin(5x)cos(6x)]/(x)

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Q: Solve for x in the interval 0 < x < 2n. log (sin (x)) – log (cos (x)) = 0 a) x = 5,

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Q: (x²–1)dx S (x++3x² +1)[tan-1 x2-1 aluation of is

A: Given integral is I=∫x2-1x4+3x2+1tan-1x2+1xdx To evaluate I Now, dividing the numerator and…

Q: Find the indefinite integral. x cos 10TX2 dx

A: We can find the integral as below.

Q: compute (x2 - 8x +20) dx on the interval (0,1)

A: To evaluate the given definite integral over the open interval (0,1)

Q: Use the Secant Method to approximate the positive root of 2x^2-sin^-1x=0. Sketch the graph of the…

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Q: Express ∫ sin x2 dx as a power series.

A: The given integral is ∫sinx2dx

Q: Find the indefinite integral. ∫sec x/2 dx

A: Given ∫sec x/2 dx. We need to evaluate the above integral.

Q: Solve the integral. cos x dx J (1+ sin² x) arctan (sin x) 10.

A: To evaluate:                      ∫cos x(1+sin2 x)arctan(sin x)dx    ... (1)

Q: cos (5x)cos (3x) dx cosh' (In x) sinh (In x) (A) (8) - (C) 0 (D) 2 1

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Q: ) Use the simple fixed point iteration method to find a root of th cos x with initial guess x, =4…

A: To find a root of the equation x3=-cosx using the simple fixed point iteration method with initial…

Q: Estimate the value of df/dx for f(x) = root 8x at x = 3, using any method

A: To find the derivative of f(X), differentiate with respect to X on each side.

Q: f(x) = sinh x cos x,-n <x< n. ometric series.

A: fx=sinh x cos x , -π≤x≤π P is periodic of period 2π fx+2π=fx   sinx+2πcosx+2π=sinh x cos x  cosx…

Q: Find differential o perator theit annihilates 4e cos3x+3x2e

A: Given that: 4e2xcos3x+3x2e5x For the differential operator that annihilates the value of f(X) will…

Q: Find the indefinite integral ∫ [arctan(x/2)] / (4 + x2) dx

A: ∫arctanx24+x2dx Now put, arctanx2=t⇒11+x22·12=dtdx⇒11+x24·12=dtdx⇒44+x2·12=dtdx⇒24+x2=dtdx⇒14+x2…

Q: Using Newton-Raphson Method, estimate the root (6 decimal places) of the following: f(x) = 3x-e cos…

A: The newton-Raphson formula for the roots is given by xi+1=xi+f(xi)f'(xi), where x is the root of the…

Q: Cos x dx In x (sin x) () - dæ. (In x)²

A: We have to find the value of the integral : ∫cos(x)ln(x)dx-∫sin(x)1xln(x)2dx

Q: converges or div rge 2n+ Sinln)

A: The given series is  ∑n=1∞ 12n+sinn We have to check whether the series converges or diverges.

Q: Evaluate the integral cos3 x + sin² x + 1 dx cos² x (sin2 x + 1)

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Q: Solve the definite integral e(arcsin(x)) dx. /1 – x²

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Q: (sin-l x)² dx V1-x²

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Q: Find y' of y= In(tanh2x)

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Q: Find the indefinite integral  ∫sin3 x cos2 x dx

A: We have to find the indefinite integral ∫sin3 x cos2 x dx