The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the property f(-x) = - F(x). If Is(x)dr=K, 0

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A: We know, (i)∫xndx= x(n+1)/(n+1)+C, for any real number n and any constant C.

Q: Cosr -e Sinx sinx +x +e The integral dr may be written as mensinx + px+ ge"x + C: where m, n, p. q, ...

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Q: Find the equation of the curve for which . d?y =6- 9x and which passes through the points (0, -1) an...

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A: To evaluate the integrals using the formulas for area of triangle and circles. 

Q: et What is the integrable form of dx? e

A: Here, the given integral is: I=∫exex-e-xdx=∫exex-1exdx=∫e2xe2x-1dx=∫exdxe2x-1

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Q: What is the integrable form of dr? ex – e -* e u²) 2 du 2 du du

A: We have to find the integral

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A: Please see the below picture for detailed solution.  I solved question number 7.

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Q: 4 dx Evaluate Зх — 12 1 00 + 00 1

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Q: b ""P+C. What is the value of the sum a m The general antiderivative of (3x2- 4)2x2 can be written a...

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Q: Question 7 Which of the following is an improper integral? (А) -dx -4 x2-x - 2 --X In (3e) xe cos (x...

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Q: dx - = In[F(x)]+C. What is F(/3) if C= 0? For (x+x³) (x Tan-'x+ 1) A B 3 c) 6 D) 3 + + -15

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Q: Suppose that P dollars in principal is invested for t years at the given interest rates with continu...

A: Solution is here

Q: sinx+X cosx - esa+e The integral dr may be written as mensinxi pr+ gerx 1 C, where m, n, p, q, r, an...

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Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the c...

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Q: Which of the following is an improper integral? dx 2 2r+8 B -4 x2-x-2 -1 xe Cos (x)dx -2

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Q: cos2x – sin2x cos2x For -F(x)+C. What is F(x)? cosx – sinx

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Q: 10* -dx may be written as A lnl secR+ tan R+ C, where A, B, and C are constants not equal to zero. E...

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Q: 12. Let a and b be non-negative real numbers. Provide an example of an improper integral of the form...

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Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4. A 21/2 square ...

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Q: What is the integrable form of sin-cos-sin0 d0? 2 A /1 – u² du B Vu²-1 du © : fcomndn cosu du D sinu...

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Q: Find the area of the region bounded by the curve y= 1-x2 and the x-axis. 9 6 square units 8 square u...

A: Given query is to find the area of the region bounded by the curves.

Q: cos2x – sin2x cos2x -F(x)+C• What is F(x)? For dx = - 3 cosx – sinx (sinx – cosx) - (cscx – secx) 3 ...

A: Please see the below picture for detailed solution. 

Q: If FIX) is an antiderivative of x-2 + x1, then what is the value of F(1) - F(-1)? A) 3 (в) -2 -1

A: Solved below

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Q: Find the area of the region bounded by the curve y2= 4x and the lines x = 1 and x = 4. O 21/2 square...

A: Here is the solution

Q: d?y =6- 9x and which passes through the points (0, - 1) and (2, 3). Find the equation of the curve f...

A: Integration

Q: If F(x) is an antiderivative of -2+ x-1, then what is the value of F(1) – F (–1)? 3 -1 -2

A: If F(x) is a antiderivative then there exist a  function f(x) such that  F'(x)=f(x).

Q: Which of the following is an improper integral? A dx -4 x² – x – 2 In3e (B cosx dx хе -2 dx C 2x + 8...

A: To find out the integral which is improper. 

Q: dx Evaluate Зх — 12 1 O + 00 O - 00

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Q: Find the area of the region bounded by the curve ,2-4r and the lines x = 1 and x = 4. 63/2 square un...

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Q: The antiderivative of fx), denoted by F(X), exhibits an odd symmetry i.e., it satisfies the property...

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Q: What is the integrable form of dr? du u du

A: Given integral is:  

Q: Find the area bounded by the curve y? 4x and the lines x=1 and x=4.

A: Area bounded by a curve y=f(x) and the lines x=a and x=b is given by, A=∫abf(x)dx  We know, ∫xndx= x...

Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

A: The antiderivative of f(x), denoted by F(x)F-x=-F(x)∫abfxdx=K, 0<a<b

Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4. 24 square unit...

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Q: S- 10 -dx may be written as Aln secB* + tanB" +C. where A, B, and C are constants not equal to zero....

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Q: Which of the following integrals is equal to the integral f(3x- 5) dr? -2 7/3 f(2) dz |dz 7/3

A: We have to change the integral limits by substution.

Q: b --x" +xP +C. What is the value of the sum a d The general antiderivative of ( 3x2– 4) 2x 2 can be ...

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Q: d'y -=6-9x dx2 Find the equation of the curve for which and which passes through the points (0, -1) ...

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Q: cosx - esinx The integral dr may be written as mensinx pr + ge+ C, where m, n, p, q, r, and C are co...

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Q: Determine whether the statement is true or false. (tan (x)) = (sec"(x) dx

A: topic - derivatives

Q: What is the distance between the points (1, -2, 0) and (4, 0, 5)? 38 48 58 28

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Q: osx- e sinx sinx +x +e nsinx The integral dx may be written as me' +px + qe"* + C, where m, n, p, q,...

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Q: The integral of the function below may be written as men sin(x) + px + qe"x + C. Where m, n, p, q,r ...

A: First we solve integral . Follow step 2nd . 

Q: Which of the following integrals is equal to the integral / f(3x – 5) dx? 7/3 "s(:) dz 3 -2 2p (2)f ...

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