Integral / 142°. | | 14.x? – x³ – 45x| dx MUST be evaluated by breaking it up into a sum of three integrals:

Q: Jse the properties of integrals to verify the inequality. 1 ,2 x cos I dx <1

A: Given query is to find integral to verify the inequality.

Q: Using tabular integration, the integral ft"(-2x² + 4x) cos(2x) dx equals: 3Tt -1+ 3T 2 2 2 the above…

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Q: 4) Solve the integral: Show work 10x2-48x + 160 dx (x - 4)2 (x2 + 16)

A: Given,

Q: 38. Solve the integral / x³ /x² – 1 dx three ways: (a) with the substitution u = x? –- 1, followed…

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

Q: 4. Yes, more integrals to solve! 1 dx x/lnx tan x dx COS I b) / e* dx a)

A: 4. It is asked to evaluate the given integral .

Q: 1 So x2-4 dx an improper integral. (5 points each) 3. Find a value of b >0 that makes

A: Given the function :

Q: 3., J(5 cos x+4 sin x) dx

A: We have to find integration

Q: S 6x®cos (x³) dx „8, ,3•

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Q: 1 Use the integration formula ax dx = ax + C to find 4* dx and simplify. In(

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Q: aluate the integral. (Use C for the constant of integration.) -- cos(50) de

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Q: -3.5 x/(16 – x²)3 dx 0.5 Find the numerical value of the integral using: a.) Trapezoidal Rule (n =…

A: Given: ∫3.50.5x16-x23dx To find: Numerical value using trapezoidal rule.

Q: 3. 'Evaluate the integral. 5 dx х0.2

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Q: Calculate the definite integral. 12 6 dx - 4 12 6. dx = (Type an exact answer.) - 4 X

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Q: Solve the integral: A B с 1 √√x+x √√ Sin/1+x²|+c -In +C 6in|5+ x²|+C с {in/1+x³ |+c C dx

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Q: Solve z2 = 1+ p² + q² . Ans. Complete integral is cosh-(z) = (a. 1

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Evaluate the integral: 3 9x dx

A: Given,          ∫3-9x2dx

Q: (a) By Products of Sines and Cosines, Evaluate the integral: S sin 2x sin 4x dx . 5x+2 (b) Evaluate…

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Q: Find the polynomial of degree 9 (centered at zero) that best approximates f(x)=ln(x^(3)+5). a.)…

A: To find the Taylor's polynomial of a function f(x) at x=c, use the following formulae.…

Q: hello! can you help me with this calculus problem?

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Q: Evaluate the integrals sin2.x -dp- J(5 + cos2.x) e) 3

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

Q: Evaluate the double integral 1 2x+1 LL.** Select one: | None of them 113 x² dy dx

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Q: Consider the following. Let u = 4x³ - 1. Find du. du = dx Indicate how the limits of integration…

A: The given definite integral,          ∫01x24x3-14dx

Q: C for the constant of integration.) Evaluate the definite integral. (Use sin(23x) xp 1 + cos (23x)…

A: The given integral is,

Q: 2/3–2 dx integralinin değeri x² + 4x + 8 aşağıdakilerden hangisidir?

A: The integral can be solved using completing the squares method. Since the integration is definite…

Q: Q2:A/ Evaluate the integrals sec (1 + ex) tan (1 + e'/x) dx

A: Integral

Q: 13. S /(1– cos x)dx

A: Follow the procedure given below.

Q: a) Define two types of improper integral and its definitions. b) Solve the improper integral dx. (x²…

A: We know integrals are improper when either the lower limit of integration is infinite and the upper…

Q: !!! 6 cos (x2) Evaluate the integral -dx dy dz by changing the order of integration in an…

A: Triple integral

Q: This question requires a full written solution. Find the integral 5x2 - 3x +2 dx (r + 1)(r2 +1) I =

A: Integration by partial fraction

Q: 1. Find the general indefinite integral. 5e + 3 sin x dx (b) ["be²

A: We have to solve this given integral . For this first we solve the general indefinite integral &amp;…

Q: 8. Find the value of the constant C for which the integral 11x 11C dx x* + 1 4x + 1 converges. C =…

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Q: E. Find the indefinite integral. -dv 1+ 7v

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Q: 3. +ANIA (3x - 1/2 + sin x) dx

A: As you mentioned question no. 3 solved

Q: (2– sec²x) ln (# /e)scc³x sec(3A – x) What should be the value of A for to be integrable using the…

A: Let's find.

Q: dx Using the substitution x =2 sin 0 , evaluate the integral x²V4-x 2

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Q: , 1. Take the following integral numerically using an end corrected method. (n-7, h=0.001) (give…

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Q: x² – 25 dx Jx+5

A: Formula: a2-b2= (a+b)(a-b)

Q: Determine Secos sin 5y dy by using substitution method. Solve each of the following integrals using…

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Q: 2+2i What is the value of the-integral·I = S(z2 – 1)dz?1 1+i

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Q: 2 dydx -23-1 (xy)³ SS.

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Q: Find the value of the constant C for which the integral 6C x² + 9 dx X + 3 converges. C = Evaluate…

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Q: The value of the definite integral fm12 √ex - 9 dx is in the form F(b) – F(a), where a In 9 and b…

A: We have to solve given Questions.

Q: Find the most general antiderivative or indefinite integral. 2. cos 7x - csс"x) dx

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Q: Find the value of the constant C for which the integral 5 1² (√x²³²+ 16- X ³+ 4) ax (v dx converges.…

A: We have to find C .

Q: 3 Given that / et dx = e3 - e, use the properties of integrals and this result to evaluate (4ex - 5)…

A: To find the integral by using the given results.

Q: -cos-sino de has the form sin 2 2 -F(0) +C. What should The resulting integral of 4 be the value of…

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Q: 5. Evaluate the definite integral (1+lnx)² dx а. 1 dx. b. -1 2x+3

A: Explanation of the answer is as follows

Q: Evaluate the integral: 30dx / (1-cos(5x)) The solution to the integral is -6(Cot(5x) + Csc(5x)) + C…

A: Multiply by (1+cos(5x)) in numerator and denominator.

Q: The value of the integral T/2 sin x dx cos(x)e- sin Jo is: Оа. 1-е-1 O a. O b. e- sin 1 O C. С. cos…

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Q: Q.4 Use the integration by parts to evaluate the integral. V3 2 sin-1 x dx

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