What integration technique can be used to integrate: Integration Formulas O Trigonometric Substitution O Power Formula O Integration By Parts In x dx M

Q: f:R+ → R f is a strictly decreasing function. 3 1 f (x) · f ( f(x) + 2x 4 f (9) = ? 1) 3) 1 6 4) 1…

A: Answer is given below.

Q: please show step by step solution on how to get the circled part with complete explanation. do this…

A: We have to explained the circled part.

Q: Using Simpson's method 1 √xdx for n = 4 is equal to Blank 1 (use 2 decimal places with proper…

A: using the simpson's method ∫01xdx for n=4.

Q: 2 2. cos² ydy 1+sin y

A: The given integration is: I=∫cos2y1+sinydy   We know the common integral. ∫sinxdx=-cosx+C

Q: Given the function y=f(x), y" is found to be positive over the interval (4,8), then over this…

A: This question can be solved using the relation between second derivative and concavity of the…

Q: Which of the following is not true? 4dx 4dx A S.. lim √x(x+6) c √x(x+6) 5 dx dx So 25-x² B = lim…

A: We have to find out the option

Q: 3.2x²+5dx A. In|2x² +51 + C A. B. C. * 4. 4. [ sec²x tanx dx A. tan²x + C 2 A. B. C. B. In|2x² +51…

A:

Q: dy dt when x = 2. Let xy = 3 and Find dx dt 5.

A:

Q: At noon, ship A is 40 nautical miles due west of ship B. Ship A is sailing west at 16 knots and ship…

A:

Q: Prove that the equation 3x² – 3x + 2 = 0 has a solution on interval [0; 1].

A:

Q: Which of the following functions have a 4th derivative different from itself? 0x4 ex sin x COS X

A:

Q: S²(x²-4x² + 324 232) sin(x) 4x⁹ (1+x²)² A) True B) False |dx=0

A: ∫-11x7-4x9+sinx1+x22dx

Q: √√²₂√12x+ 2x+1| dx the result is Blank 1 (use fraction or decimal in 2 decimal places, no spaces) -2…

A: Solution:

Q: Sx√x + 1dx

A:

Q: Find the length of the arc of a circle of diameter 1010 meters subtended by a central angle of π4π4…

A: Solution ) diameter - 1010 m , angle = π/4 Radius =  1010/2           = 505 m length of arc of…

Q: Given than f(x) f²f(x) dx = −4 and Ⓒ [ƒ (2) de- f (x) dx = 20 (A) f dx [ B [²] ƒ (x) dx − [ª* ³ƒ (x)…

A: To find out the option which is not correct.

Q: Use the given information to find f '(2). g(2) = 3 and g'(2) = -2 h(2) = -1 and h'(2) = 5 g(x) h(x)…

A: Given, g(2)=3 , g'(2)=-2, h(2)=-1 , h'(2)=5, f(x)=g(x)h(x)

Q: Given f(x,y) = ex cos y, Evaluate fy(0,2) Oe2 0 0 O cos 2 O-sin 2

A: The given function is: fx,y=excosy   As we know that; The common derivative; ddxcosx=-sinx And…

Q: If you evaluate the integral expression 12x+1|dx the result is Blank 1 (use fraction or decimal in 2…

A: We have to integration

Q: consider the power series "(x-2)"" √n+2 n=o 1. Use Limit Comparison Test to show that the series…

A: Solution is here

Q: Does the follewing finile & Series ooveryor dinerge E T $ (Inn) N-2

A:

Q: 9. f √x³-1dx x

A: Given: I=∫x3-1xdx    ...1 As we know that; ∫11+x2dx=tan-1x+C

Q: y" + 5y' - 4y = 0

A: SOLUTION-

Q: In evaluating 2 dx 5₂₁²= is same as evaluating lim_cos-¹(f(x))|c. Determine the value of f(x) if…

A: Derivative of cos(x) = - sin(x) We have to find the value of f(x) at x=0.96

Q: Let f(x, y) = x(y - 3) and F = Vf. If r = with 0 ≤ t ≤ 2, then [F. dr is equal to: a. -7 b. -11 c.…

A: We find the line integral in the following way

Q: (b) the curve x = = y²-y-6 and the line x = = 2y + 4;

A: Given; x=y^2-y-6, x=2y+4

Q: 1. d²y dt2 dy + 6- +8y=2e-3t dt 2. d²y dy +4 dt² dt +13y = e-t 3. d²y dy +7 +10y=e-2t dt2 dt

A:

Q: 3. Use Stokes' Theorem to evaluate $ F dr, where F = (0, 0, 2), (1, 0, 2), (1, 1, 2), and (0, 1, 2),…

A:

Q: xp zx — 9L^gx f

A: Evaluate the ff. by integration by parts.

Q: Question 29 In the quadratic equation Ax²+BX+C =0, describe the roots when B²-4AC is zero. (A) The…

A:

Q: 5. f sin x cos x dx

A:

Q: (A) True B) False 3

A:

Q: 2 ist dx for n=4 is equal to Blank 1 (use 2 decimal places with proper rounding off, no Jo (x + 2)²…

A: Given,  ∫012x+22dx ,  n=4

Q: Given f(x,y) = x²y-3xy³. Evaluate 2 S₁² 0 fdx

A: Follow the procedure given below.

Q: Sketch the graph of f(x)=x² /x²-1

A: Graph

Q: 3. Given that 2 = 6²¹ sin (u + ), e2v Use chain rule to find az/0x when x = 0, y = 0. u=e¹ - sin (y…

A:

Q: 12. [ xv2 − xdx x√2

A: ∫x2-xdx

Q: Use Figure 1 to evaluate each trigonometric function of angle A. The side adjacent to angle A has…

A: Given: Now, we find the mentioned ratios. sin A=662+102=6234=334cos A=1062+102=534tan A=610=35

Q: dx 17.S (4x²-9)3/2

A:

Q: Q2/A/ Find the intervals on which the function f(x) = x² - 4x + 3 are increasing and the intervals…

A:

Q: 6. f cos¹ 2 xdx

A: Given,  ∫ cos7 2xdx

Q: 1. J x + 2)* dx A. (x + 2)6 + C О А о B о B. 6(x + 2)6 + C (x+2)6 6 + C

A: As per guidelines we can answer only one question at a time, so the first question can be solved as…

Q: * 5.8x √4x²+5 dx 2(4x²+5)³/2 A. +C 3 O A. OB. O C. * 6. f 35x-1 A. 35x-1 In 3 O A B 5x-1 dx C + C…

A:

Q: Use Figure 1 to evaluate each trigonometric function of angle A. The side adjacent to angle A has…

A:

Q: R is the region bounded by the functions f(x) = -and g(x) = -. Find the area A of R. Enter an exact…

A: The region R is bounded by the functions fx=-4x and gx=4x7-327

Q: All continuous functions are integrable. (A) True B) False

A: if any function f(x) is continuous on some interval [a,b] then the definite integral from a to b…

Q: Which of the following is not true? 5 dx с dx Ⓒ√² S 25-x² (Α o = lim C-5- o 25-x² 3 dx 3 dx (В lim…

A: We have to determine integral

Q: Use Figure 1 to evaluate each trigonometric function of angle A. The side adjacent to angle A has…

A: We will use simple trigonometric formulae to solve this question.

Q: X X-2 such that (fog)(x) = x + 2. Q₁/ let f(x) = , find a function y = g(x)

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: What integration technique can be used to integrate: O Integration Formulas O Trigonometric…

A: Answer is following.