x3 V4 + x2 dx

Q: Use the substitution u = x + Vx +5 to evaluate the definite integral dx I = Va2 +5 Give an exact…

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Q: First make a substitution and then use integration by parts to evaluate the integral 6 cos (Vx) dx.

A: Given ∫6cos(x)dx

Q: Find the total area between r = 4 sin(0) and r = 7 sin(40). %3D

A: Double integral is used to integrate the function of two variables over two-dimensional region.…

Q: Use an appropriate substitution and then a trigonometric substitution to evaluate the integral.…

A: By applying  trigonometric substitution

Q: Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the + 7) dx, n = 4 5 Exact…

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Q: dy 2 y у (4 — у

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Q: Use an appropriate substitution and then a trigonometric substitution to evaluate the integral. 9+x…

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Q: Derive the third order dervitive formula at x = x, by using Newton's forward differences

A: Consider the function y=fx which is tabulated for the values xi=x0+ih, i=0,1,2,.....,n. Suppose that…

Q: r430 sin x 160 cos2 x(16-sec² x)

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Q: Use trigonometric substitution to find or evaluate the integral

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Q: Evaluate the Trigonometric Integral sin (x) cos /2 (x) dæ ,3) sin° (x) cos

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Q: evaluate the Integral X sin (x) coscx) dx COS

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Q: The coefficient of sin ( 2x) in the antiderivative of

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Q: x2 dx V9 – x2

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Q: Use geometry to calculate (without integrating): o V16 – x2 dx Note that f (x) = v16 – x² is the top…

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Q: Evaluate the integral (Trigonometric Substitution) 1 (b²y6 – y®)Zdy

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Q: sin Vx dx

A: we will use substitution method, integration by parts and basic integration formulas to solve this.…

Q: Find the area inside the cardioid r = 4+ sin0 from 0 = 0 to 0 = 2n.

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: Find the total area between r = 4 sin(8) and r = 7 sin(40). %3D %3D

A: Given curves are r=sinθ, r=7sin4θ To find : area between the curves

Q: Derive the third order dervitive formula at x = x, by using Newton's forward differences.

A: To find dydx, differentiate the Newton's forward difference interpolation formula with respect to p,…

Q: Let the integral be 'solvable' using trigonometric substitution. What is the correct choice of u…

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Q: sin ydy 1+ sin y

A: We will use simple integration formula to solve this question.

Q: Determine the value of C in on the antiderivative of F(x) = sin°(x)cos°(x) for x = 0.213 and y =…

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Q: Evaluate the integral. TC cos(x) sinh(x) dx

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Q: Use the Substitution Rule to find the following indefiniteintegrals. Check your work by…

A: The given integral is ∫22x+13dx

Q: 5. Use trigonometric substitutions to evaluate the integral: I Væ(4 – #)dx.

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Q: Use Inverse Trigonometric Function to verify the antiderivatives: dx 10. J1+x)Vx = 2 tan-1 Vx + C…

A: We can evaluate the given integral by using the substitution u = x and the following formula.…

Q: evaluate the iterated integral

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Q: 5x'/1 – x² dx

A: Given: I=∫015x31-x2dx For evaluating given integral, we substitute x=sinθ…

Q: Determine the value of C in on the antiderivative of F(x) = sin°(x)cos“(x) for x = 0.108 and y =…

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Q: What is the antiderivative of -tan(x) + pi^x?

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Q: Find Fourier sertes [o, 2] an 2) fex) f Cx) = Sin X ニ

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Q: Evaluate the integral (Trigonometric Substitution) 1 (n²z6 – z®)ždz

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Q: Find the integral using an appropriate trigonometric substitution V25x² – 1 dx

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Q: Use (a) the Trapezoidal Rule integral 1to 4    sin x dx                 with n= 5

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Q: Find arealt the gren regian analy tically. The interior ofr= sin 2o.

A: r = sin2θarea in polar region: AA = ∫αβ r2θdθwhere r(θ) = sin2θwe need to find α and β.

Q: Evaluate the integral. 3 sin x dx +C |3D

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Q: Determine the value of C in on the antiderivative of F(x) = sin°(x)cos"(x) for x = 0.205 and y =…

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Q: cos (=) Consider S dx. Using u-substitution, determine which of the following is equivalent to the…

A: To find the u-substitution: ∫cosπxx2dx

Q: what is the integration of x^2/(9-x^2)^3/2 using trigonometric substitution

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Q: The suitable substitution to evaluate the integral cot (2x) dx is sin (2x) O u= tan(2x) O u= csc(2x)…

A: Integral is given

Q: Use the trigonometric substitution r 2 sin 0 to compute the integral -2 VA – r² dx

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Q: Utilize trigonometric substitution to evaluate the following integral: x*dx S- V8- 2x*

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Q: V2x² – 4 dx V2

A: ∫222x2-4x dx Consider, ∫2x2-4x dx Put, x=2 secθ⇒1=2 secθ tanθ dθdx⇒dx=2 secθ tanθ dθ Therefore,…

Q: Use trigonometric techniques of integration to evaluate tan12x sec x dx tan15x tan13x + C

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Q: Find the integral ∫ x/ √(1 − x2 )dx using u-substitution.Then find the integral using trigonometric…

A: Given: ∫x1-x2dx

Q: Find the area bounded by the trigonometric curves y=sinx and 2.828 square units 1.414 square units…

A: Given that curve y=sinx and y=cosx    from x=π4 to x=5π4To find :Area bounded by the region from…

Q: or the integral cosx sin'x dx ? Let u = There is more than one credit will be given.

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Q: Differentiate each of the f cosh(x)+1 cos(r)+1 a. Y =

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Q: cos' x dx

A: