6e6x Consider the indefinite integral /- dx: (ebz + 2)° This can be transformed into a basic integral by letting u = and du dx Performing the substitution yields the integral du

Q: 1 dx, using a (x2 + 1)2 Evaluate the second indefinite integral, trigonometric substitution.

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Q: Suppose we make the substitution u=6+x in the indefinite integral - dx What is the 6+ x4 resulting…

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Q: Evaluate the integral dx by making the substitution u = 5x². After substituting we have: (in terms…

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Q: xe¯*dx Evaluate the improper integral: 1

A: The given question is taken from the calculus in which we have to find the value of the given…

Q: 7e7z Consider the indefinite integral dx: (e7z + 5)" This can be transformed into a basic integral…

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Q: Consider the indefinite integral /- dx: (26 + 1)° This can be transformed into a basic integral by…

A: We have to find the integral

Q: a · Va? +1 dæ: 3 Consider the indefinite integral This can be transformed into a basic integral by…

A: We have to find the given integral.

Q: 20 |V400 - x2 dx 10 What substitution will be the most helptul for evaluatıng this integral'? O A.…

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Q: e Consider the integral dy. ey + 6 This can be transformed into a basic integral by letting and du…

A: To find the given integration.

Q: 3x -dx x4 + 1 Evaluate the indefinite integral. + C

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Q: 9e9z Consider the indefinite integral dx: (e9z + 2)° This can be transformed into a basic integral…

A: To evaluate the integration.

Q: dy: cos(y) + 7 Consider the integral This can be transformed into a basic integral by letting u =…

A: We can fill up the blanks as below.

Q: - be-6x dx: - Consider the indefinite integral (e-6z + 5)3 This can be transformed into a basic…

A: We have, the given integral as I=∫-6e-6xe-6x+53dx Let us consider that,…

Q: Consider the indefinite integral 25 dx: (26 – 8)° This can be transformed into a basic integral by…

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Q: Consider the indefinite integral æ° · a. Va +4 dæ: This can be transformed into a basic integral by…

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Q: r(n(z))ª dz: 4 Consider the indefinite integral This can be transformed into a basic integral by…

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Q: +2 dx: Consider the indefinite integral a) This can be transformed into a basic integral by letting…

A: The given integral,        ∫e7x+2dx

Q: 1 Consider the definite integral dx: o (26 – 7)® This can be transformed into a basic integral by…

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Q: 7e7z Consider the indefinite integral dr: (e7z + 4)² This can be transformed into a basic integral…

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Q: dr: Consider the indefinite integral (x4 + 9)* This can be transformed into a basic integral by…

A: Here by using substitution we have to find following integral,

Q: 1 x2 Consider the indefinite integral dx: (2³ – 2)³ This can be transformed into a basic integral by…

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Q: 9e9x Consider the indefinite integral - dx: (e9z + 4)5 This can be transformed into a basic integral…

A: ∫9e9xe9x+45dx=9·∫e9xe9x+45dxLet u=e9x+4.So, du = 9e9x.=∫99u5du=∫1u5du

Q: 5e5z Consider the indefinite integral dx: (esz + 5)3 This can be transformed into a basic integral…

A: Using Substitution,

Q: 2e Consider the indefinite integral dx: (e2z + 3)* This can be transformed into a basic integral by…

A: Given,

Q: 4 sec t to evaluate the integral J 2-16 dx Use the substitution x = Note: Use C for an arbitrary…

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Q: Consider the definite integral dx: (x³ + 7)³ This can be transformed into a basic integral by…

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Q: 9e9z Consider the indefinite integral dr: (e9 + 2)° This can be transformed into a basic integral by…

A: ∫un du = un+1n+1+C

Q: беба Consider the indefinite integral /- dx: (ebz + 2)° This can be transformed into a basic…

A: Substitution is used to make the complex integral easy.

Q: Consider the indefinite integral dz: (e-2= + 2)5 This can be transformed into a basic integral by…

A: We have to solve the integration

Q: Complete the table to find the indefinite integral. (Use C for the constant of integration.)…

A: Note: We know that integration of x^n is given as x^(n+1)/(n+1) + C. Where n not equal to -1 and C…

Q: Consider the integral ∫cos(y)/sin(y)+1 dy; This can be transformed into a basic integral by…

A: Solve the integral by using the substitution method

Q: Consider the indefinite integral Ja Væ° + 18 dæ This can be transformed into a basic integral…

A: ∫un du = un+1n+1+C

Q: Consider the indefinite integral æ · Vx* – 8 dx: This can be transformed into a basic integral by…

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Q: (x3 + 1)° be transformed into a basic integral by letting and dx hing the substitution yields the…

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Q: Consider the indefinite integral a . V - 4 dr: This can be transformed into a basic integral by…

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Q: Find the indefinite integral. x² + 4x + 1 - 6x² + 3x + 6 dx Step 1 du/dx dx = - du Let u = Begin by…

A: Given- ∫x2+4x+1x3+6x2+3x+6dx Solution-        Let u=x3+6x2+3x+6 Now, differentiate the above…

Q: Consider the indefinite integral a · Vx² – 5 dæ: This can be transformed into a basic integral by…

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Q: 7e7 dx: Consider the indefinite integral (elz + 5) This can be transformed into a basic integral by…

A: We need to substitution method

Q: 4 Consider the indefinite integral x° · Vx* + 2 dx: This can be transformed into a basic integral by…

A: We will solve the problem.

Q: Consider the indefinite integral /- 25 dx: (26 + 9)° This can be transformed into a basic integral…

A: ∫x5x6+96dx

Q: Consider the indefinite integral a3. Vx* + 5 dx: This can be transformed into a basic integral by…

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Q: a(2))® dz: Consider the indefinite integral This can be transformed into a basic integral by letting…

A: Consider the indefinite integral

Q: onsider the indefinite integral a. V+9 dæ: his can be transformed into a basic integral by letting…

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Q: rarcsin(3y) dy. Consider the integral V1 – 9y? This can be transformed into a basic integral by…

A: To evaluate the given integral.

Q: ez Consider the indefinite integral r VI – e2= dx This can be transformed into a basic integral by…

A: Substitute u=e^x.

Q: Evaluate the indefinite integrals below. Use u-substitution when appropriate. (a) /*(4" - 1)"dz (e)…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Consider the indefinite integral * . Va - 2 da: This can be transformed into a basic integral by…

A: (1) Substitute,u=x5-2du=5x4dxSo,   x4 dx=15duTherefore,∫x4.x5-23=∫u3du5=∫15u3du

Q: Consider the indefinite integral 25 dæ: (26 – 8)6 This can be transformed into a basic integral by…

A: First I have make the substitution and reduce the integral in easy form.All solution steps are in…

Q: 2e2 Consider the indefinite integral dx: (e2 + 3)° This can be transformed into a basic integral by…

A: formula used

Q: 1 dx 1) Evaluate the integral / G sinh x

A: