Final exact and simplified numerical values which applied to Fundamental Theorem F(b) and F(a) must be presented before giving final answer in exact and simplest form. .4 -5(x-3) dx (x2– 6x – 9)3 12. 3. 10

Q: x²-4 1) lim х>2 х-2 sin 2x 2) lim x→0 3) lim( X→0`x 5x2-Зх 4) lim X→∞ 7x2+1 d 5) [In|sin x|] - dx d…

A:

Q: 7. x´+ 2 cos x -1 + 20x) : dx (use rules)

A: We have to differentiate

Q: This is an example from the text. Can you show me how to get the slope? I do not fully understand…

A:

Q: In the function given. Evaluate the integrals.

A:

Q: 4 2 dx In evaluating √ √²-4 is same as evaluating lim cos-¹(f(x)). Determine the value of f(x) if…

A:

Q: 3 d 2 (x²) dx

A:

Q: x* + 1 -dx x² + 3 find x3 3x + 3 A) tan -1 + c V3 B) V3 10 V3x + tan V3 +c x3 C) 10 3x tan 3 + c x3…

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: 2.6 Can you show me the steps to solve the problem? Directions: Find dy/dx by implicit…

A: Given,

Q: hea 14 Approximate (x²-4) dx using 4 rectangles. It is approximatley (If necessary, round to two…

A:

Q: 55. (x + 2)² sin x dx

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: 7 sin x Let f(x) 6 sin x + 2 cos x 7 Then f'(x) = 2(3 sin x + cos x The equation of the tangent line…

A:

Q: (3cos³x-1 1- sin?x To evaluate - dx the integrand can be transformed to [(3cos³x + csc?x)dx |Зcosx…

A: Option D is the tranformed integral.

Q: 12. [-/5 Points] DETAILS HARMATHAP12 13.2.051. In this problem, use properties of definite…

A: Given below the detailed solution

Q: f(x) = 2"[In(cot(x³))]5

A:

Q: cos(x ) + æ5.1 dx. )ln(1+x² 3 cos(x Evaluate 1+ el.61x – 68 - 3. answer

A:

Q: 0-6 3 Evaluate e dx by Simpson's th rule, taking n=6. 8

A:

Q: 5cos³(x) sin(3–2x) answer in terms of sin and cos only ind the derivative of y = + tan²(3x² – 4x) –…

A:

Q: sigma 4-0 (1-x)/sqaurerootx dx

A:

Q: n 5) lim|| P| -0 E ( sin ck) Δxk 1-π/5, 0] k = 1 T/5 n A) [ - π/5 sin x dx B) sin x dx sin x dx coS…

A:

Q: 1 dx (36 – x²)3/2 1. + C 36 у36 — х? (x² – 36)3/2 + C A. 2. / *Vx - 36 dx В. 1 dx 1 х — 6 -In C. 12…

A: We need to match the integrals.

Q: 6 sin æ Let f(x) %3D 6 sin x + 4 cos æ Then f'(x) = The equation of the tangent line to y = f(x) at…

A:

Q: :S- iven : alue of AB 3 8x+1 4x- dx. If we let the substitution" = 4x-5, the final answer takes the…

A:

Q: a) y = In x · sinh x*

A:

Q: the specifie x = 1- y, x= 0; = 5.

A: In this question we will use basic of calculus i.e application of integration. We will simply use…

Q: 1 8. When we say that (Inx) = , we really mean to con- dx 1 on the restricted domain (0, 0). sider…

A: Given the function ln(x) Now for the derivative : ddx(ln x)=1x Here we take the function 1x on the…

Q: 1+ xcosx Evaluate: dx x(1-xe 1-re? sin x

A:

Q: 3) Use the methods below to find V1-x²dx a) Try u-substitution. Explain why it will not work. b) Use…

A: a) There is no other x outside the square root, so that -2x could cancel.  So u-substitution will…

Q: O tan-()+ -dx =| Business Mathematics And Statistics x4 +1 Questions 1 O tan-(+e -) + c V2x x2 +1 O…

A:

Q: (x2-2)dx 1. S x3-6x+2 2. S: dx x In x

A:

Q: 5. f(x) = [(x+ 5)5 – 1]ª 6. f(x) = cot (6x³ + 5) 7. f(x) = sin(e³*)

A:

Q: Q5/ Solve the gamma function 2-3* dx 360 A) 2/n B) 2 V3 In 2

A:

Q: 10 If f (x) dx -7 and f (x) dx = 1 then determine -3 -3 10 [1- f(2) dz 5 showing working.

A: Given: ∫-35f(x)dx=-7 and ∫-310f(x)dx=1

Q: 2.6 Can you show me the steps to solve this problem? Directions: Find dy/dx by implicit…

A: Differentiate both sides with respect to x,

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

A:

Q: 0 < x < 2 2 < x < 3. Justify your answer. 9. Evaluate , g(x)dx when g(x) = { sin (7x), 8 + 2x – x²,…

A:

Q: et +e» et Рe-* cosh(x) sinh(x) 2

A: Given that:- coshx=ex+e-x2 sinh(x)=ex-e-x2

Q: prom o to i-Y. X varies m -1 Prove "drd Y= n-1 mtn +1 2

A:

Q: Scoth (2) dx

A:

Q: proof: -1 d du cot-1 dx 1 + u2 dx

A: Let cot-1u=t.  Therefore: u=cot t

Q: 10 x dx 4x2 – 8x + 9 ima ( – In|4 (x – 1)² + 5| – V5 tan- c– 1)² + 5| + V5 tan |+ c -1 Option 1…

A:

Q: V1+ x² -dx Ans. In V1+ x² – 1 |+2/1+ V1+ x² other equivalent answers)

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

Q: 1 d a (х 5. dx 2

A: It is the basic differentiation formula.  d/dx ( x^n) = nx^n-1  , this formula  is use to solve it.

Q: 2. If you know (1 – a.0 s a s 1 * f(x) cos ax dx = 0 ,a>1 Find the value f(x)!

A:

Q: 4. f(x) = sin xand g(x) = 2x 5. f(x) = x² + cosx and g(x) = 3x + 4 Guide Questions: 1. How did you…

A:

Q: FULL SCREEN PRINTER V Chapter 6, Section 6.6, Question 052 Use the Fundamental Theorem to calculate…

A: Formula used:The Fundamental Theorem of Calculus:

Q: FULL SCREEN PRINTER V Chapter 6, Section 6.6, Question 052 Use the Fundamental Theorem to calculate…

A: Given,

Q: 5. sin n° x cos x dx >

A: The question is taken from the calculus in which we have to find the value of the given integral, We…

Q: 2. Approximate (x-3) dx using 4 rectangles. It is approximatiley (If necessary, round to two decimal…

A:

Q: Q5/ Solve the gamma function 2-3x² dx 360 A) 2√n 1 77 B) 2√3 In 2

A:

Q: -5 -3 2-1 3+ 1 1 2 4 N -1 B 2- Submit Question ON 4+ 10. -3 Which of the following is true about = 0…

A: Let's find true statement about given graph.