3x2 -dr by substitution, if u =x³+ 1 then what will be the resulting indefinite integral in terms of u and du? x³+1 In evaluating A / u-½ du 12 /2 du B u 1 u-2 du -½ du

Q: evaluating /2r-1 2x –1 dr by substitution, if 4=2x – 1 then what will be the resulting indefinite…

A: Substitution u=2x-1

Q: f (0) = 1, f(1) = 4, f(2) = 3, f(3) = 5, f(4) = -7. | Use the substitution rule for definite…

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Q: ·S- For x1/2 u 1-u² 4u S- S- S -dx and using the substitution -du -du -du 4u 4-(2²) ² -du u=x1/2,…

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Q: x1/2 ·S. dx and using the substitution = x1/2, the resulting integral takes the form: U (A) / -du…

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Q: 7. Find the integral with respect u when we use the substitution u=cos(x) to rationalize the…

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

Q: 1 x5 10 (266)6 This can be transformed into a basic integral by letting Consider the definite…

A: Given query is to transform the integral using substitution.

Q: 3z - 3r+2 dr. (x-1)(x2 +1) Evahuate the integral

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Q: sint Use the appropriate substitution to evaluate the following integrals: - dt (2+ cos t)4 -3 A + C…

A: The objective of the question is evaluate the indefinite integral by using substitution .

Q: Question #23

A: We have  to find integral and vefiry with the help of differentiation .integral is given below:

Q: u = 1 + We can now make the substitution (9x)4 and evaluate the definite integral with respect to u.…

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Q: For x 1/2 dx and using the substitution = x 1/2, the resulting integral takes the form: 4u -du 4-u U…

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Q: Consider how we can evaluate this integral using u-substitution: - dx. (3z+1)ª If we let u = 3x + 1,…

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Q: 1. Use the Fundamental theorem of Calculus 1 to evaluate the integrals. Please give exact answers.…

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Q: For 1/2 U -dx and using the substitution -du -du 4u √4-(2u²) ² 4u du -du 1/2, the resulting integral…

A: In this question, we want to know the Integral form after substitution.

Q: 3x2 dr by substitution, if u =x³+1 then what will be the resulting indefinite integral in terms of u…

A: Solved below

Q: ·S- For x1/2 S- S. dx and using the substitution -du U 1-u² 4u -du 4u 4- (21²) ² U -du 1-u4 -du u=x…

A: We have to solve Integral

Q: b g(b) %3D Use the substitution formula f(g(x))g'(x)dx = f(u)du, where g(x) = u, to evaluate the…

A: Solving the first part.   take g(x) = 25 - t2 g'(x) = -2t   You can see that t is present in the…

Q: x1/2 dx and using the substitution u=x1/2, the resulting integral takes the form: U -du ·S (A S- ® /…

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Q: 14. We use the substitution u=x-1 to evaluate the integral Find the integral with respect to u. 2u O…

A: Fro the given problem: I=∫x2x-1dx..(1) Use the substitution method to solve the integral: Given:…

Q: 3 x + 36 da x2 - 12 a + 1i Calculate the integral: 75 a) oIn|z – 11| - In|z – 1| + C 39 In|2 - 1|+C…

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Q: 1. Find the following indefinite integrals: 1 du b. fcos uchu = а. 1 fa'du- d. . du - с. 1+u? f. f-…

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Q: 11. Obtain the integral of (5x-1)³ dx from x = 0 to x=1 25 A. 51 5 C. 51 4 B. D. 4 51 20

A: Topic = Integration Correct option = B

Q: p2 (x³ – 1)(x² + 1) What is the value of F(a) in the evaluation of the definite integral xp- -1 X-1

A: Perform integration

Q: 32 A f(z)dr = 6 -72 and 32 g(x)dx 26 72 and -32 / h(x)dx = 22 72 what does the following integral…

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Q: In evaluating x(4– x)³ dx, if we substitute that u=4- x, then what will be the resulting integral in…

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Q: Let n be a positive integer, and a and b two positive real numbers. 1 Use a substitution to evaluate…

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Q: stloh 7. ain the integrals of the functions f(x), entering your answers in the specified form, where…

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Q: ·S S For S- x 1/2 -dx and using the substitution=x 1/2, the resulting integral takes the form: 4u…

A: To find the equivalent integral to the given integral- ∫x1/2x-x3dx using substitution u=x1/2.

Q: 3x2 -dx by substitution, if 4 =x³+1 then what will be the resulting indefinite integral in terms of…

A: We will evaluate the given integral by using substitution as shown below

Q: Suppose we perform the substitution .3 u=9-x in the integral 3x² \/9 – x³ dx What is the resulting…

A: We will find the integral in terms of u.

Q: Now consider the definite integral 2xV4 + x² dx Use your answer to question 4 and the Fundamental…

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Q: 1) Consider the indefinite integral  ∫ X5/(x6-4)6 dx  This can be transformed into a basic…

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Q: 15 -1 L (s+6)² +9] s[(8 + 6)² + 9]

A: Inverse Laplace transform properties

Q: (2x +)x dx | (28 + 4x5 + 4x²)? sing u-substitution and transformation of the integrand, then the p…

A: We will solve the integration using substitution.

Q: (2x² +)x ;dx (x8 + 4x5 + 4x²)² Using u-substitution and transformation of the integrand, then the…

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Q: 4-x dx In evaluating /x by substitution, if u=4- x then what will be the resulting indefinite…

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Q: -S- A Ⓡ / T B C S (D) S- For x1/2 dx and using the substitution u=x¹ x1/2, the resulting integral…

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Q: 1- 4x12 Given the integral integral ,to obtain the 1 du 12 1-u? with a single change of variable, u…

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Q: As a result of COVID-19, some students attended less than H/2 hours of lectures before the college…

A: Consider the provided question, We have to find the average in the class,

Q: ·S- For x 1/2 dx and using the substitution=x1/2, the resulting integral takes t U -du 1-u² 4u 4-4²…

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Q: Evaluating the improper integral ze2 dz 80 gives the answer A) 3/4 B) -3/4 C) 1/4 D) -1/4 E) 2/3

A: The integral is to be integrated from minus infinity to 0. Since it is a definite integral, there…

Q: 3x2 dx by substitution, if u=x³+1 then what will be the resulting indefinite integral im In…

A: We will solve the following integration.

Q: Evaluate the following integral using the Fundamental Theorem of Calculus. 9n/2 | (cos x - 1) dx -…

A: According to question given ∫-9π29π2cosx-1 dx

Q: x1/2 dx and using the substitution = x 1/2, the resulting integral takes the form: u= 4u -du 4-4² S-…

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Q: 3x2 In evaluating by substitution, if u =x³+1 then what will be the resulting indefinite integral in…

A: We have to calculate integral by substitutions

Q: 13. +27x-27 √x² dx √x² - 6x +9 2 (Ans: x³ + x² + 36x + 81ln|x − 3| + C)

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Q: 3x2 dr by substitution, if U =x³+ 1 then what will be the resulting indefinite integral in terms of…

A:

Q: 4 dr - 2x Evaluate the given definite integral using appropriate substitution: ... A) -2ln(5/3) B)…

A: Use substitution

Q: 3x2 dr by substitution, if 4 =x³+1 then what will be the resulting indefinite integral in terms of u…

A: Using Substitution,