Show that 1/2 1+ 72 2 1. i%3D1 Xi n-1

Q: So 1 x²+7x+10 A. B. C. D. 3ln 2-ln 2 3 3ln 2+ln 2 3 3ln 2-ln 2 5 3ln 3-ln 2 3 dx

A: The given integral, ∫011x2+7x+10dx use the integral formula, ∫dxx=ln x+C

Q: 2. Find the value of 1 3x + 13 x² + 4x +3 dx

A: We can you valve the given definite integral by using the partial fraction method.

Q: (-1)^ dx n= (2n+1)!

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Q: 3 19 dx Evaluate 5+x - 4x 2

A: By using complete square and integration

Q: S(1-* 2 dx 2x 3.

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: The area to the left of Z= -0.11 is?

A: The standard normal variable is z, which follows the normal distribution with the mean of 0 and…

Q: S In (ecos5×)dx

A: Given that: ∫ln(ecos5x)dx

Q: 5. (5 – x)² * 6 Show that if y=3-x then %3D 6. . (x-s) _ xp 1. dx. 3 Hence, find the value of , 2(5…

A: In differentiation use quotient rule In integration use substitution

Q: (In /3)/3 24) З е3x dx 1+ ебх

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Q: S (28*_ 4 e²_ 1) 2) dx |

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Q: 13. S: 5x dx x5-3

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Q: ker(A) = R104 %3D O ker(A) = {0} %3D ker(A) cannot be determined from this information

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Q: Find the value of k that makes the antidifferentiation formula true. (1– 10x) 1 dx=k In 1= 10x + C…

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Q: 7 49 – x² dx 2. Compute the value of

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Q: (近-3) D34 ENone ofthese 4. Find . @ 10

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Q: 2dx x (3(ln x)2 + 12 In r – 15)

A: Indefinite Integration

Q: a) Evaluate x* - 4|dx and L (x* - 4 )ax. Do you get the same answer for both?

A: Answer

Q: 13x+5 If S dx = A ln|x| + B In|x – 2| + C, then A + B = x2-2x %3D

A: A indefinite integral, also known as antiderivative, is a function F(x)=∫f(x)dx such that…

Q: (b) Guess the value of x^e-X dx when n is an arbitrary positive integer.

A: ∫xne-xdxlet u = xn+1→dudx = (n+1)xndx = 1(n+1)xndu ; x = u1n+1∫xne-xdx = 1n+1∫e-u1n+1du⇒∫e-u1n+1=…

Q: 1 7) So dx V36- x2

A: Solution of the problem as follows

Q: 4. L{t² sin 10t} 60s? – 1000 60s? – 2000 b.- (s² + 100)3 60s2 + 2000 а. c. d. none of the abov (s? +…

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Q: QUESTION 9 Compute the following. d x5+17x3+39x²+13] dx

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Q: #1) Find for 7x³y5 = -8 dx

A: Let's find.

Q: Which of the following is correct? * 3 3 (3 In(x²)) = dx (3 In(x²)) = dx Option 1 O Option 2 d 6 (3…

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Q: 00 2dx %3D x2 - 1 3. A. In3 B. In2 C. In 3. 3. In - D. E. In-

A: ∫3∞2x2-1dx

Q: 1 The value of f|5x – 3|dx is

A: Integration of the absolute valued function

Q: 1. F(s) = 2)

A:

Q: Q3. Evaluate S 2x+1-5x-1 dx 10*

A: Given that ∫2x+1-5x-110x dx evaluate the integral

Q: 6. g(s) %3Dr-고 +1 in

A: The objective is to match the tailor polynomial approximation of the function with its graph.

Q: Show that c12 2 dx = ln (7 + 4v/3). 8, Va2 – 8x -

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Q: The numerical value of S X -3 9-x² dx will be equal to *******

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Q: 3 dx%3D 2 (x-1)(x+2) Select one: a. In(5/2) b. -9/20 c. In(8/5) d. -33/20 e. In(2/3) 3.

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Q: ii) ∫7x-25/(x-3)(x-4) dx

A: Given,          ∫7x-25x-3x-4dx

Q: a) Evaluate -5 S₁v 1 √√4 − (x − 3)² dx -

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Q: -1 √ x²(3 – 4x) dx - -4 318 338 358 378 None of the Above 14 √√1 + 7x dx 25 -1 0 35

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Q: 1 dx 7х — 2 1 In(7a — 2) + с 7 -

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Q: y=In [e 7* (x° + 5) (x³ + 8x)] d [In [e 7* (x³ + 5) (x° + 8x) ]] = ] dx

A:

Q: 13. S 5x dx x5-3

A: To integrate ∫5x4x5 - 3dx

Q: The area to the left of z =0.53 is

A: The z-score for any assumed random variable X~N(μ,σ2) is Z=X-μσwhere, μ=population mean…

Q: S 3e-5" dx

A:

Q: | 3tan-1(x)dx = %3D 2프-21n2 In(4) 2/3 None 을 + m2 2 In(÷) | 3 3 - In(4) 6 3

A: Solve by parts method of integration.

Q: 5. St? V1- t dt (2x+3) dx 6. S (x2+3x-6)

A: Please see the answer below.

Q: 21. 1dx dy -3

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Q: 1 5x+1 dx is a. None b. In(5x+1) + C 5 c. – 5ln(5x + 1) +C - d. 5ln(5x + 1) + C In(5x+1) + C е. -5

A:

Q: Find the formula for df-1/dx. (x) %3 (2 - х)3 О А. -3(2-х)2 В. х2/3 1 OC. 3x2/3 O D. 2-x1/3

A: we have givenf(x) =(2-x)3 we need to find f-1(x) first

Q: 11) y"-y=- %3D (1+e ")

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Q: 2* Q3. Evaluate +1_5*-1 dx 10*

A: Given ∫2x+1-5x-110xdx evaluate the given integral

Q: +2 see' (3x)-3e" dx

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 4 3x+2 dy %3D 2x-1 dx 12/09/2021 10: 00

A: