1. S 4esin2x cos2x dx

Q: 1. Use a suitable substitution to evaluate , (G) dx. Give you answer correct to at least 2 decimal…

A: Substitution is done for the function whose derivative is present in the numerator.

Q: Using integration by parts, evaluate the integral: ∫cos-1(x)dx

A: Integration:   The collection of all antiderivatives of f is called the Indefinite integral of f…

Q: Question 010: Complete the following question involving basic integration techniques. Given the…

A: Below is the solution to the question.

Q: Q2- i) Evaluate the following integrate 3 –dx 1+sinx

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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: Integral of ln(t+3) and (t-1)/((t^2)-1)

A: Given,

Q: Question 009: Complete the following question involving Integration by Parts Method. Given the…

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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: log (a cos 0+bª sin 6) de=r log ( a+, -), a>0, b>0. 2

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Q: Solving it with gamma and beta function 1 dx - Ln x

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Q: Suppose that a dimension X in the area A= 6x*2 of a shape are differential equations functions of t.…

A: Here we differentiate the function with respect to ' t '

Q: dx xVa²x² χναx16

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Q: Ln(2) Sinh(x) Cosh?(x) dx

A: Given : Limit 0 - ln(2) with function Sinh(x)Cosh2 (x)

Q: II. Perform the integration. 2 1. 2 CSc" x cot xycsc x - 1 dx

A: Note:-  1.  ddxcscx=-cotxcscx 2.  cscπ6=2 3.  cscπ2=1   Given that ∫π6π2csc2x cotxcscx-1 dx Take…

Q: 2² cos(4x) dæ

A: The given integral is ∫0πx2cos(4x)dx Using successive integration by parts by taking x2 as a first…

Q: 75. Evaluate | (sin-x)? dx. Hint: Use Integration by Parts first and then substitution.

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Q: Ln (2) Sinh(x) Cosh? (x) dx

A: Here I am attaching image so that you understand each and every step.

Q: 12. S 2°Y dy

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Q: integral 5(e^s*sin(t-s))

A: Given I=∫5es×sint-s

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Q: The value of i log (x -i) + i? n + i³ log (x + i) + i* (2 tan-'x) where x > 0 and i = Fis

A: Introduction :

Q: In the integration of x dx/(9 + x^2), what is the appropriate integration formula? * Integration of…

A: Third option is correct.

Q: Question 12 We can apply General Power Formula of Integration on which of the following integrals? A…

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Q: Part 1 Basic Integration Solve the following integrals through video presentation. 1. f(4x²-3x²+) dx…

A: I can solve it but i can't explain like video presentation. It's a basic integration. Just apply…

Q: Find the integral of the following equation integrate cos(x + pi/3) dx

A: Given problem:- Find the integral of the following equation integrate cos(x + pi/3) dx

Q: Question 002: Complete the following question involving Integration by Parts Method. Given the…

A: Solution:

Q: sin? 6, determine a reduction formula for the 5 By the substitution x = integral 2(1- x)2 dx. Hence…

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Q: 14. ſ e sin40 cos40d0

A: (14). To integrate: ∫esin4θcos4θdθ Substitute  t=sin4θ t=sin4θdtdθ=4cos4θdt4=cos4θdθ Substituting…

Q: What integration formal will be used in integrating / sec? -dx? tan x a. trigonometric b. power of…

A: To find the correct options

Q: dx 1+ax log 1-ах ) Evaluate

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Q: Question 16 Consider In x dx To evaluate this integral, we can use O integration by parts…

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Q: Question 001: Complete the following question involving basic integration techniques. Given the…

A: This Question is based on Definite Integral ∫abfxdx = F(b)-F(a) Where F(x) is Anti-derivative of a…

Q: Consider the ODE y' + tan(ax)y = sin(ax), where a is a nonzero real number. Find an integrating…

A: “Since you have asked multiple questions, we will solve the first question for you.If you want any…

Q: 2x -1 dy use gamma function fanceion Beta to Solve integrale

A: We have to find value of given Integral

Q: y(Y) = log,(sin(Y )cos (Y )) - log ,(2*e* )? cosy siny cosy sin y In 7 sin y In 7 cosy In 7 O A sin…

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Q: As an example below, an indefinite integral question using the "Simple Fractioning" method, one of…

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Q: Ecos sin dx is equal to A. Inv2 B. Inv3 c. In D. In e When evaluated, x sinh 3x dx is equal to A.…

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Q: Question 17 Complete the integration: Determine the value of "?".

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Q: Question 008: Complete the following question involving Integratin by Parts Method. Given the…

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Q: Find the integration of the

A: Given:- x2 / (x sin x + cos x)

Q: Area A = 1,341 Area B = 2,412 Area C = 3,092 Area D = 1,806 Calculate the definite integral f(x) dx…

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Q: Question 003: Complete the following question involving basic integration techniques. Given the…

A: ∫0π4sin8x dx Now, ∫4sin8x dx=4-cos8x8     ∵∫sinax dx=-cosaxa+C=-12cos8x=-0.5cos8x

Q: Evaluate the integral. [1,7],  (ln(x))2 / x3 dx

A: Integrate normally

Q: QUESTION 6 Evaluate the integral. Give an exact answer. x?In(2x)dx [Ans] Show your work separately…

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Q: dx Perform the Integrations 1+ sin x+ cos x Use the editor to format your answer

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Q: Using integration by parts, if f cos(lnx)dx A. cos(ln x) = uv + ƒ sin(ln x)dx, what is uv? c.cos(In…

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Q: 3. J et dx 1-ех

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Q: Activity 1. In this activity you are r using the fundamental integration 1. S(2x° – 3x6 + 12x* –…

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…