Which of the following is an improper integral? In3e A cOSx dx xe (B n(x++1) dx dx 2x + 8 D dx x² - -4

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

A: Taking integrate on both side with respect to x. 

Q: If the brakes on a car can give the car a constant negative acceleration of 2k m/2 , where k is a po...

A: Here is the solution

Q: The integral of (10^x/cos 10^x) dx may be written as A ln (sec B^x + tanB^x) + C. Where A, B and C a...

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Q: Which of the following is an improper integral? -4 x² – x – 2 In3e COSX dx xe -2 In(x++ 1) dx -1 dx ...

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Q: Which of the following integrals is equal to (3x-5) dr if u=3x-7? (A (u+2) du 8/3 -2 -1 / (u-2) du 3...

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Q: What is the integrable form of sin-cos-sino de? 2 (A -2 | sinu du B / Ju?- 1 du 2 /1-u² du D cosu du

A: To find out the correct integrable form. 

Q: Question 2 If F(x) is an antiderivative of x2 +x, then what is the value of F(1) - F(-1)?

A: Here, given that  F(x)=∫(x2+x-1)dx=∫x2dx+∫1xdx=x33+ln |x|

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

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Q: dx Evaluate Зх- 12 A - C) 8. B.

A:   The given integral is ∫14dx3x-12.   Compute the integral ∫dx3x-12 as follows. ∫dx3x-12=∫dx3(x-4)  ...

Q: What is the integrable form of dr? 1 -1) du -u?) 2 du 2022-01..

A: Find the integrable form by substitution method

Q: dx - = In[F(x)]+C•What is F(/3) if C = 0? For (x+x³) (x Tan-lx+1) -1 + - -1

A: Solved below

Q: Find the area of the region bounded by the curve y=1--x² and the x-axis. 9 6 square units 4 square u...

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Q: Vhat is the integrable form of sin(e) de? A 1- u² du B cos np(n)s -2/ sin(u)du D 12-1 du

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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: If the brakes on a car give the car a constant negative acceleration of 2k m/s2, where k is a positi...

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Q: If F(X) is an antiderivative of x2 +x', then what is the value of F(1) - F-1)? (А) -2 В) -1 D) з

A: Given: F(x)=∫x-2+x-1dx So, by the Fundamenetal theorem of calculuas: F(1)-F(-1)=∫-11x-2+x-1dx Now, i...

Q: cos2x – sin2x cos2x -dr=-F(x)+c•\ For + C: What is F(x)? cosx - sinx 3 1 (sinx – cosx) O (cscx – sec...

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

A: Given :   (3x2-4)2x2

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: A stone is thrown vertically upward from the top of a house 112 feet high. If it was thrown at 96 fp...

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Q: If the brakes on a car give the car a constant negative acceleration of 2k m/s?, where k is a positi...

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Q: Question 9 Which of the following integrals is equal to the integral f(3x-5) dr? 7/3 A f(2) dz 7/3 B...

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Q: 3 dx Evaluate the J 2+81 improper integral:

A: We need to integrate∫-∞∞3x2+81dxWe know that ∫1x2+a2dx=1atan-1xa+C ---{1}

Q: cos2x – sin2x cos2x For What is F(x)? - dx=÷F( 3 + C• cosx – sinx O (cscx – secx) 3 2 sinx - -cos'x ...

A: Solved below

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

A: Differential equations

Q: a b. d The general antiderivative of (3x2-4)2x2 can be written as +, xP+C. What is the value of the ...

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Q: The resulting integral of sin-cos-sin0 de 2 2 has the form -F(0) - +C. What should be the value of e...

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Q: Is the given function f (x, y, z) = xª – 6xy? + 723 continuous at the origin? Yes No

A: If a function f and another function g is continuous at arbitrary point. Then there sum, difference ...

Q: Find the area of the region bounded by the curve y=1- and the x- axis.

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Q: 5. Evaluate: tan-(2 – 3j). Express in polar form

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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: (2– sec²x) ln (# /e)scc³x sec(3A – x) What should be the value of A for to be integrable using the f...

A: Let's find. 

Q: dx 14. Evaluate Зх — 12 A.ο В.1 00 D.0

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Q: 4 dx Evaluate Зх — 12 1 00 + 00 1

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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: If the brakes on a car give the car a constant negative acceleration of 2k m/s2, where k is a positi...

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

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Q: 17. A stone is thrown vertically upward from the top of a house 112 feet high. If it was thrown at 9...

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Q: cos2x – sin2x cos2x For +C: What is F(x)? dx = cosx - sinx O (cs. ecx)3 cScx – secx 1 (sinx – cosx) ...

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Q: S 10* dx may be written as lsecRx 1 tanR*+ C where A, B, and C are constants not equal to zero. Eval...

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Q: cos2x – sin2x cos2x For dx = - What is F(x)? cosx - sinx 2 2 sinx + -cos'x+ cosx+ -sin-x Écos³x 3 3 ...

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Q: (2- sec?r) elm sec(3A – x) e In (x le ) sec³x -dx to be integrable using the What should be the valu...

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Q: 2. Find the volume of the solid formed by the region inside the sphere x? + y? + z? = 16 and outside...

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

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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: The given curve is y2=4x and lines x=2 and x=4. From the given information,

Q: dx For - = In[F(x)]+C•What is F(/3) if C = 0? (1+x;_u®_L x)(;x+x) 6. + + -15

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Q: sin-cos-sine do has the form –-F(0)+C. What should be the value of e to make F(e) =0? 2 The resultin...

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Q: C2- rec2,)e ln (a le) recr

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

Q: Question 4 e* What is the integrable form of dx? ex - e -X (1-w²) du u 2 du Į (u?-1) 2 du

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