Integrate the equation using the method in trigonometric

Q: In(x+2) 1. S dx 2x+4 2 2. fx² ex dx 3. f tan³x dx 12

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Q: A tank contains 50-liters of brine in which 20 grams of salt is dissolved. Pure water is being…

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Q: How many antiderivatives does a function of the form f(x)=x" have when n*0? A) none B) 1 infinitely…

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Q: That statement "We can use the General Power Formula of Integration for indefinite integrals…

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Q: A street light is at the top of a 19 ft tall pole. A woman 6 ft tall walks away from the pole with a…

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Q: Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and g(x) =…

A: Given that , fx=x2+1 and gx=-x2+2x+5 find the volume of solid generated by revolving the region…

Q: a + bx² 3ax + bx³ dx

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Q: 7. Find the area bounded by the parabolas x² - 4y = = using vertical strip. 0 0 and x² + 2y and x² +…

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Q: We can apply General Power Formula of Integration on which of the following integrals? @ /. A coshu…

A: we have to find the integral by general power formula

Q: Determine the area bounded by f(x)=x²-x and x-axis. unit² B unit² Ⓒunt² D unit²

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Q: Q3/ Find a volume for the region bounded by 4/X and Y = (X-3)² about the x-axis.

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Q: Which of the following methods can be applied to find a particular solution yp of y"+y=cos(ex)? A…

A: Which of the following methods can be applied to find a particular solution yp.

Q: Transforming S dx secx + 1 using miscellaneous substitution

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Q: Consider the solid bounded above by x² + y² + ² = 2 and bounded below by z = √√x² + y². Set up a…

A: Volume

Q: y = Arctan ( 2+x 1-2x

A: We have to find derivative

Q: must

A: When a curve changes from concave down to concave up or concave up to concave down , that means…

Q: lim (x-7) tan x x→2 플

A: The objective is to evaluate the limit.

Q: The general solution of (D³-4D2)y=0 is A y=c₁+ ₂²x+c₂e-²x By=c₁+ c₂x + c3e4x - 4x Ⓒy=C₁ + c₂x + c3е¯…

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Q: (D³ + 3D2 + 3D + 2)y = 0

A: Find out the solution.

Q: y = Arctan ( 2+x 1-2x

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Q: To evaluate the integral sin ³0cos (A) sin²0=1-cos²0 1-cos20 B sin ²0 2 sin20 sin cose 2 1+ cos20…

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Q: Which of the following CANNOT be solved by method of undetermined coefficients? 1 A (D²+1)y: cos X B…

A: Let's find.

Q: e the triple integral: (x+y+z)dydxdz 6 24 18 12

A: Topic :- application of integration

Q: Lim (112²x - 21²) (sin²x x-0

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

Q: If f(x) and g(x) are integrable on the closed interval [a, b], and k is a constant, which of the…

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Q: Evaluate each of the following line integrals. cy²sin³x √1+ cos²x ds where C: y = sin x going from…

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Q: 5. Use the cylindrical shell method to determine the volume of the solid obtained by the revolving…

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Q: y = x²sin (3x)

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Q: dx ef. using rationalizing substitution. x1/2 + x2/3' Evaluate

A: We know that integration of xn is xn+1/n+1.   Here i attached the solution of this question.

Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

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Q: Question 9 Which of the following represents the volume of the solid generated by revolving the…

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Q: Find the volume of the solid of revolution generated when the area described is rotated about the…

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Q: lim x→1 √2-x-x x-1

A: We need to evaluate the value of the following limit limx→12-x-xx-1

Q: Refer to the definite integral to answer the following questions: 4 [*(16-x²) dx

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: evaluate the limit and simplify. Complete solution.

A: Evaluating the limit

Q: Given; √ √ tex dx 2 Applying rationalizing substitution, find dx in terms (A) z dz 2+z² 2 z dz B…

A: Given query is to find the dx in terms of dz.

Q: y = Arctan (2x)

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Q: Find the volume of solid generated by revolving the region bounded by f(x)= x² + 1and…

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Q: Find the area bounded by : f (x)=e*, g(x)=e* and x=3. A (e³-1)² e3 sq. units B (e³+ 1)² e3 (e²+ 1)²…

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Q: The length of a rectangle is given by 4t - 3 and its height is √2t, where t is time in seconds and…

A: The area of a rectangle with length L and height H is given by A=L×H. We use chain rule , power rule…

Q: Question 18 Evaluate the integral: e3+ cosh2x33+cosh2xsinh2x dx A (3e)3+ sinh2x 21n3 + C (3e)3+…

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Q: Find the surface area when C {(x, y): 0 ≤ x ≤ 2; y = 1 is revolved about the y-axis.

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Q: 3. Use Use the disk method to determine the volume of the solid obtained by the revolving the region…

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Q: An equation of a hyperbola is given. (x+3)²-(y - 3)² - 1 9 16 (a) Find the center, vertices, foci,…

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Q: van [ f(x)dx = 5, [_o(x)dx=7, and [_n(x) dx = - -5 Which of the following can be determined given…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Q1/ Find the area of the region bounded by the given curve (y=x²-5) and the curve (x = = -) by means…

A: Given y=x^2-5 & x=-y/4

Q: Given A B C D f(x) dx = 0 and 11 6 0 ¹² f(x) dx = 11 6 I 11 5 55 6 evaluate S²3f(x) dx - ₁2f(x)dx.…

A: we have to find the integral

Q: S Given 1 хр for which the improper integral converges? A {0,1} (B (1,00) C (-∞0,00) D (-∞,1] dx,…

A: The given improper integral is: ∫1∞1xpdx Suppose p=1 then: ∫1∞1xdx=ln x1∞=∞ So, diverges.

Q: Which of the following can be determined given .3 3 3 [ f(x)dx = 5, ³g(x) dx = 7, and g(x) dx = 7,…

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Q: Find the average value of f over region D. f(x, y) = 3x sin(y), D is enclosed by the curves y = 0, y…

A: Here, the domain D is the area enclosed by the curves y=0, y=x2 & x=7 is: A=∫07∫0x2dy…