If (A) (В (D (x + 1) dx (x+2)(x-1)² -ja دا | در 93 1 —— 9 9 . 3 2 3 x + 2 ++ x-1 (x-1)2 dx, the values of A & C respectively are:

Q: (D² - 4D + 4)y= e2x sec²x

A: Reduction of order and variation of parameter (D^2-4D+4)y=e^(2x)sec^x

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A: Determine the area bounded by the function f(x)= (x+1)3, g(x)= x+1 .

Q: Question 5 The improper integral +∞0 5+0⁰ 0 ex dx is

A: We can solve this as follows:

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A: We can solve this as follows:

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A:

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A: Considering the sequence to be geometric

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A: Solution: I=∫cxy4ds

Q: If g(x) = - [e' - In(2t+1)]dt, find g''(x) . dx A e* -In(2x+1) 4 B (2x + 1)² 4 C (2x + 1)² 2 D (2x +…

A: To solve the following problem

Q: tanx f f(x) = = [tion. A B C √1+1² 1+e' In (secx)√1+tan²x tanx 1+e sec²x 1+ e tanx sec ³x tanx 1+e…

A: Integration

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A:

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A: We need to find area.

Q: How many antiderivatives does a function of the form f(x)=x" have when n0? (A) none (B) may vary…

A: solution

Q: y = 3t 1+t³ X= 3t 31² 1+t²³

A:

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A:

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

A: The integration are

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A:

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: How many antiderivatives does a function of the form f(x)=x" have when n*0 A) infinitely many B) may…

A: We need to choose correct option.

Q: Evaluate the triple integral: 3 2 1 S³ S² S²(x+y+z)dydxdz 0 A 12 B 18 C 6 D) 24

A:

Q: If g(x) = -S^*[e²− ln(2t+1)]dt, find g''(x) . dx 2 (A (2x + 1)2 Be* -In(2x+1) 4 (C) Ce¹+ (2x + 1)² 4…

A: Here is the solution of the given problem.  By using derives under Integral.

Q: To evaluate the integral si sin³0cc 1³0cos 60d0 by trigonometric transformation, we use the identity…

A:

Q: Determine the area bounded by f(x) = x² − × a axis. A - unit² B unit² C unit² 2 -unit? +|5

A:

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: -JIL e √x² + y² dv, where E is the region that lies inside the cylinder x² + y² = 4 and between the…

A:

Q: dx Evaluate: (x+1) log(x+1) 1 A In10 log² (x+1)+C 2 B -log² (x + 1) + C 2 In 10 In[log(x+1)] + C…

A: We have to integrate of given function

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

Q: q13

A: We have to calculate the given indefinite integral

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

Q: Find the area bounded by : f(x)=e*, g(x)=e* and x=3.

A:

Q: Question 14 If [ _ ( x + 1) dx S A B C D (x+2)(x-1)² 2 . 93 -io 1 6.11 1 -- - 9 9 2 - - 3 - 3 2 - 3…

A: To find the value of A and C  in the given integral.

Q: dx using miscellaneous substitution will yield to secx + 1 Transforming Ⓒ S A 1-z² B 1+z² © √ 1 +…

A:

Q: en [_²_f(x) dx = 0 and ² fl Given f(x) dx = 11 6 T evaluate √3f(x)dx- -S__2f(x)dx.

A:

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A:

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A:

Q: A lighthouse is on an island 400 meters off shore. The lighthouse beam makes a full turn every 15…

A: First we diagram the problem, labeling the point A , the lighthouse beam as B and C as another…

Q: 1 X + X Solve the integral: Gin|5+x²|+C A 5 @ B {/in/1+x³²|+c C © =√³ m/₁ + x ²³ / + C 6 ©…

A:

Q: Which of the following can be determined given f(x) dx = 5, g(x) dx = 7, and Sh(x) dx = -5 3 A √…

A:

Q: +3x-4)³ (4x+3)dx + C Solve the integral: Seln(2x²+3 (2x²+3x+4)*(4) A 3 (2x²+3x+4)4 4 eln(2x²+3x-4)³…

A:

Q: --—-^[e'-In(2t+1)]dt, find g''(x) . dx -2 If g (x) = (A) (В Ce*- D 4 (2x + 1)² e* - In (2x + 1) 2…

A: We have to solve integral

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A: See the details solution in below

Q: 9. For what value of k, k> 0, does (4kx-5k) dx = k² O 1 O 2 3 O 4

A: On solving this we will get

Q: Question 3 In the indefinite Integral in(cosh. x +ex). sinh x +e* (A cosh x + ex sinh x + ex In(cosh…

A: The integration are

Q: In S₁² = 10 A (1,00) B (-∞0,00) c) (-∞,1] D {0,1} Given -dx, determine all value/values of P for…

A:

Q: 腰 √√/XX S₁ Solve the integral: A 3√√√x² + C √√x² (B) + C 6 Ⓒ6√√x +C dx

A: ∫x3x2dxRewrite:=∫1x56dx

Q: In(2x² + 3x-4)³ (4x+3)dx Solve the integral: Seln(2x² + 3x-4)³ ( (2x²+3x+4)*(4) A + C 3 (2x²+3x+4)4…

A:

Q: Solve for x using Newton-Raphson Method: ex-x=0. Use xo= 0 as initial guess.

A:

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: 17. Evaluate [9e³x dx O9e³c+1 3c+1 O9e3c O9ec-3 3e³c-3

A:

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

A: In this question, we want to know that on which of the following integrals we can apply the general…

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