In the indefinite Integral in(cosh x + e*). sinh x + ex cosh x + ex dx, what is the integrand?

Q: Determine the case of the following proper rational function after simplification: x + 2…

A: The integration are

Q: Question 11 puas √1+1² Ffxx)=f -dt, then f'(x) equals 0 I+e' In(secx)√1+tan²x Itela tanx sec³x 1+ele…

A: Topic:- application of integration  Note :- as per our guideline if more than one question uploaded…

Q: Determine the area bounded by f(x) = x² - X and x-axis. A -unit² uni B unit² 1 -unit² C D -unit² 2 3…

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Q: Let the integral be 'solvable' using trigonometric substitution. What is the correct choice of u…

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Q: Evaluate the iterated integral. r4y *x + y [IT*** 6xy dz dx dy

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Q: √ Given A B CO f(x) dx = 0 and 11 55 6 √ √²+ f(x) dx = 1/201₁ 11 6 , evaluate √3 3f(x) dx - ₁2 f(x)…

A: To solve the integration using properties and given data.

Q: Question 32 Solve the integral: A) 3√√√x² +C (B) ex 3 2√x² +C с D 6√√x +C 3√x x² dx

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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 the improper integral 3 -2 X -dx

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Q: solve the following differential eqaution : (2x+y)dx-(4x+2y-1)dy=0

A: Solved below.

Q: Question 10 tanx If f(x)= A (B) C D sec ³x Itelin sec²x Iteline 1+1² I+e' -dt, then f'(x) equals…

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Q: Evaluate the double integral: A 9 2 5 2 (В с D m|w 416 5² 5²² 2ydydx

A: A detailed solution is given below.

Q: Question 37 1 Solve the integral: S- dx √√√√x+x A m/1+ + X +C ℗ 6n/5+x²³| +C B Ⓒ1+x²+c с X C =…

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Q: Solve

A: We have to calculate the given indefinite integral

Q: If f(x) = (A) B C D tanx sec ³x 1+e 1+1² 0 sec²x 1+ e tanx In (secx)√√ 1+tan²x tanx 1+e 1+tan²x 1+ e…

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

A: To determine the given integral.

Q: dx S using miscellaneous substitution will yield to secx+1 z²+z 1-z² 1+z² 1-z² -z² 1+z² Transforming…

A: solution

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

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Q: f 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: Solve the integral

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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 (C)…

A: To find the area bounded by curves

Q: Your cell phone plan charges a base charge each month plus a charge per daytime minute of usage. In…

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Q: Given √ 1 pdx.c A (-∞,1] B (1,00⁰) Ⓒ (-∞0,00) D (0,1) dx, determine all value/values of P for which…

A: This can be solved as follows:

Q: If f(x) = A B (C) tanx S 0 sec ³x 1+e tanx 1+tan²x 1+ e tanx 1+12 sec²x 1+e tanx In (coor) 1+ e'…

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Q: Let f(x)=√√3x-2 axis about the y-axis and find the volume of the resulting solid. 43x A -unit 3 135…

A: Ans: C

Q: y = x ¹ Arctan 4(x4)

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Q: If a horizontal element is used to find the area bounded by y=√x, x=4 and the x-axis, the limits of…

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Q: dx (x+1) log(x+1) 1 -In[log(x+1)] + C In 10 -In 10 log2 (x+1)+C 2 In 10 In[log(x+1)] + C 1 Evaluate:…

A: To solve the following problem

Q: 1 Solve the integral: S dx 3 x ที่ X + X h_1+x+c A C Ⓡ 6ın|5+x=³² | +C B © h1+x8 l+c + C h1+x+c D +…

A: Given that we need to solve the following  integral.

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

A: We have to choose correct option

Q: Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and g(x)=x²+2x+…

A: Let's find volume of solid.

Q: Question 5 The improper integral A e B) 0 (C) D 1 8 +∞0 Se ex dx is

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Q: Evaluating A 18 √*1/200 (A) **/2 B √9-x² dx using trigonometric substitution will lead to: cos²0d0 0…

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Q: Question 26 Determine the integral: x²cosxdx A x²sinx-2xcosx +2sinx + C B x²sinx + 2xcosx-2sinx + C…

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Q: en 0 3 | f(x)dx=0 and. -1 S 11 11 5 55 6 f(x) dx = = 11 6 , evaluate 1 J 3f(x)dx - [2f(x)dx.

A: We will distribute the integral in two parts .

Q: 1 H 0 1 2 3 4 5 6 What are the domain and range of its inverse? O Domain: {y|1 ≤ y ≤5, ye R} and…

A: The domain of a function f(x) is the set of all possible values of x for which f is defined. The…

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

A: Find:when we can use power formula

Q: (x²-3x+1) dx

A: Given that ∫23x2-3x+1dxSolution :∫23x2-3x+1dxx33-3x22+x23333-3322+3-233-3222+2

Q: If the Laplace transform of f(t) = e cos(et) + t sin(t) is determined the a. a shifting theorem can…

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Q: e the integral: S- 1 √x © $ n/²+x²³/+c +C © ²0/₁+x²³²/+c\ +C == n/₂+x²³/+c +C √x+x dx

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Q: Consider the vector field. F(x, y, z) = (9ex sin(y), 2e sin(z), 4e² sin(x)) (a) Find the curl of the…

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

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Q: 3 Evaluate the triple integral: (x+y+z)dydxdz A) 12 B) 24 с 6 (D) 18

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

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Q: Solve the integral: A 3√√x² B + C 6 C 6√√x + C с D 3³√√x² +C ကြ Sv √√√x 3√x X dx

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Q: Which of the following can be determined given f(x)dx=5, g(x)dx=7, and and T h(x) dx = -5

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Q: If a horizontal element is used to find the area bounded by y=√x, x=4 and the x-axis, the limits of…

A: Horizontal element

Q: Question Find the average value of f(x) = -3 cot (x) csc (x) + 1 over the interval [3 Submit an…

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Q: y = tan e³x + etan3x

A: (tan x)' = sec2(x) (eax)' = a eax.

Q: (2) secxtanxdx e definite integral by substitution: -21 1- (2) dx (3) [x√x-2dx

A: We have to find the value of the given definite integral according to the given information