Evaluate the integral. (Use C for the constant of integration.) dx x2 + 49 In sec| arctan + tan| arctan + C

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A: To evaluate: ∫2cos⁡(t)1+sin⁡(t)dt Let, I=∫2cos⁡(t)1+sin⁡(t)dt For integration of this form , we…

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A: Given ∫a+∞f(x) dx is diverges Given g(x)=100f(x) ∫a+∞g(x) dx=∫a+∞100f(x) dx∫a+∞g(x) dx=100∫a+∞f(x)…

Q: Complete the table to find the indefinite integral. (Use C for the constant of integration.)…

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A: ∫cos3(x)sin(x)dx here we use substitute method so we have to substitute so lets substitute u = cosx

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Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.)

A: Given data: The given expression is f'(x)=-2x(8-x2)1/2. The given coordinate is (x,y)=(2,2).…

Q: Using integration by parts, | x³ cos(x²) dx = k –|| x sin(x²) dx Then k is? (а) — 1.5136 (b) –…

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Q: Using integration by parts, Then k is? (a) - 1.5136 ²x³ cos x³ cos(x²) dx = k - [*x sin(x²) dx 0…

A: Solve it

Q: (a) Compute the indefinite integral (find the antiderivatives) of sec(3x) dx. (b) Write down the…

A: (a)  ∫sec(3x)dxMultiplying and dividing the above integral by (sec 3x + tan 3x)hence∫sec(3x)(sec 3x…

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Q: Evaluating an Improper Integral :- , Determine whether the improper integral diverges or converges.…

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Q: Homework: a) Evaluate the following integrals 1) | xe3* dx x? sin x dx 3) x sin 2x dx

A: Answer and explanation is given below...

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Q: Question Evaluate the indefinite integral given below. 5 tan (2x) In (cos (2æ)) dæ Provide your…

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Q: Evaluate the integral by first reversing the order of integration. NOTE: Enter the exact answer. ~5…

A: Solution: Change the order of integration Isolate x for 5x≤y≤5⇒0≤x≤y5 =∫05∫0y5e-y2dxdy

Q: Use INTEGRATION BY PARTS to solve this integral. Specify all variables. Box the answer. 10 x³…

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Q: 1 el/x dx x3

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Q: DETAILS LARCALC11M 8.2.055. Use the tabular method to find the indefinite integral. (Use C for the…

A: Given that: ∫(x+7)2sinx.dx

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A: We can evaluate the given integral by using the substitution u = sin(2x).

Q: dx sin´ x 3.

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Q: Solve the integral by Romberg's integration solve this by using Trapezoidal rule Case1: taking h=1…

A: Step:- 1 Note:- To solve this integral using Romberg's integration, first we'll find I(h), I(h/2)…

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

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Q: Evaluate the integral. 9. dx ½ (x² (x2 – 1)3/2

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Q: Using Basic Integration Rules :- , use the basic integration rules to find or evaluate the integral…

A: ∫csc2(x+48) dx

Q: Using integration by parts, | x³ cos(x²) dx = k – x sin(x²) dx Then k is? (а) — 1.5136 (b) – 1.1365…

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Q: Applying the formula of integration by parts, evaluate the following integral sin I

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A: Our Aim is to evaluate the integral given below:-∫2-sin(2θ)cos2(2θ)dθ       -(i)

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A: This problem can be solved as follows:

Q: Using integration by parts, x³ cos(x²) dx = k – x sin(x²) dx Then k is? (а) — 1.5136 (b) – 1.1365…

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Q: Assignment 5 solutions 1. Find the values of the following improper integrals with unbounded domains…

A: a∫8∞1x43dxNow apply the power…

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A: ∫cosxsin2x+2sinxdx Put, sinx=t⇒cosx=dtdx⇒cosx dx=dt

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A: Given

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Q: Evaluate the integral. (Use C for the constant of i dz 67 +

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Q: 7,000e0.1x dx   Find a substitution to rewrite the integrand as 70,000eu du. u=     du =        dx…

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Q: Integration techniques Use the methods introduced evaluate the following integrals. ∫tan3 5θ dθ

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Q: Evaluate the integral. (Use C for the constant of integration.) COS3 sin? dt Need Help? Read It…

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Q: a(2))® dz: Consider the indefinite integral This can be transformed into a basic integral by letting…

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A: Given integral is  I=∫9-x210x2dx

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Q: Use the formula sin(2x) | sin (2) dz = 4 and the reduction formula n - 1 sin" (x) da = 1 -cos(r)…

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Q: 7. Evaluate the integral. 7/2 sin°(0) cos (0) de 8. Evaluate the integral. (Use C for the constant…

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Q: Solve the integral by Romberg's integration solve this by using Trapezoidal rule Case1: taking h=1.…

A: Step:-1 Trapezoidal Rule:- ∫abfxdx≈h2fx0+2fx1+2fx2+.....+fxn Here, h=b-an, xi+1=xi+h; i=0, 1, 2,...,…

Q: Using integration by parts, x³ cos(x²) dx = k – x sin(x²) dx Then k is? (а) — 1.5136 (b) – 1.1365…

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