The series representing the integral integralIn (+1) dr is given by OA G a0 3" (n+1)? OB None of the choices in the list. Oc. 0 3"+(n+1)2 3 n2 OE (-1)*+1 Σ at 3 (n+ 1)2

Q: 3 Use the definition of the definite integral to evaluate (5x+1) dx. Use right Riemann sums and…

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Q: Calculate the integral. (Use symbolic notation and fractions where needed.) e6x dx %3D In 2 1 + el2x

A: You can solve this problem by the method of substitution.

Q: 。第一 3x 2. 5y 5y 6x 3 1ly 3x+8 1ly

A: Explanation of the solution is given below...

Q: Evaluate the integral. 7 1 dx 5 (Type an integer or decimal rounded to three decimal places as…

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Q: Evaluate the integral using the given substitution. 3 20s ds 8-54 u=8-s4

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Q: 11. f(x)=-x' + 2x? (a) Find the open intervals on which f (x) is increasing and decreasing. (b)…

A: The function is fx=-x3+2x2. Differentiate the function: f'x=-3x2+4x Set it to 0:…

Q: e+ dx Select one: O a. O b. O c. O d. O e. 4(x²-2x+2) · e¯X+C (x²-2x+2).ex + C (x²+2x+2).e¯X+C…

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Q: /3 In (x + 1) The series representing the integral - dx is given by OA. (-1)"+1 3" n2 OB. (-1)"+1…

A: To find: Series representation of ∫013lnx+1xdx

Q: The remainder when dividing z = 4+7i by w = -1+4i is * 1. None of the choices 1+2i

A: Answer : NONE OF THE CHOICES.

Q: x² - 4 This integral dx evaluates to: x(x² + 1) O a. None of the other answers are correct. O b.…

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Q: Evaluate S dz x3-x² None of the answer choices (3/x) + In (3x-2)/x) + C O (1/x) + In|(x-1)/x + C O…

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Q: step by step please

A: Consider the given function.

Q: x2 dx (x– 1)3 1 In|x-1|- X-1 + C 2(x– 1)? 2 In|x-1| 1 +C 2(x – 1)2 X-1 2 In|x-1|- X-1 1 O Inlx- +C…

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Q: Express In (2) in the form a + ib. (Simplify your answer completely.) In(z) = BRITK In( 4√2 ) + 1 (…

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Q: 0<x <n nd a Fourier series and deduce the values of the series. 1+ 32'52' 72

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Q: Evaluate (23* e dx O (2e)" + C In2e O (Be)* In8e + C (2e)* In2e + C O (8e)* + C In8e

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Q: The value of the triple integral +y is None of these O 7/4 O 7/3 O7/12

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Q: Evaluate the integral. S | 5 vx (3+5VX) 5 √x (3+5√/X)° 6 dx dx= []

A: Topic = integration

Q: Use the Substitution Formula to evaluate the integrals 7 0 √√y + 9 dy and dy and S √y +9dy. 0 -8

A: The given definite integrals ∫07y+9dy and ∫-80y+9dy. We have to find the value of the integral.

Q: The remainder when dividing z = 12+5i by w = 1+2i is

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Q: S X (x²+5) O dx none of these answers ○ In (x² + 5) + c ○ In (x² + 5) + c 1 (22² +5) + c

A: let   G=∫x(x2+5)dx

Q: Find the radius of a cylindrical can (with a lid) to contain 2744 cm³ of water, using the minimum…

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Q: Simplify the following expressions. a) 9² ·b²² (² + 1² a) -2 b39-3 (75-259/ : in 2n c) (x-y) ²^ (xy+…

A: As there are multiple questions I have solved the first 4 sub parts. Kindly resubmit the remaining…

Q: Take the function defined by the series f(t) = 2+1 cos(nat). Find the antiderivative which is in the…

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Q: The remainder when dividing z = 12+5i by w = 1+2i is * O 1+2i O 1 O None of the choices -

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Q: Evaluate the integral. -20e* – 42 e2x + 5ex + 6

A: To Determine: Evaluate the given integral

Q: Find the indefinite integral. Swin (w-9)dw Select one: O a. O b. w²-81 2 O C. O d. wp²-81 2 O e.…

A: Let, Taking integration as Let,

Q: Isx-2x² + 3x³-4x² + ... = Select the correct answer below: Yes No ∞ =(-1)"+¹ nx" a power series? n=1

A: Here we have to check whether the given series is a power series or not.

Q: 2 Use Bisection methed to fnd soletons acCurete within 10 3D0

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Q: 7P is separable for 1sps0 ylan O ihi

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Q: Evaluate the integral Select the correct answer. ( x + 6 In ( e* - 1 ) + C ○ 4x-31n (e*-1) + C 6x…

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