Evaluate the indefinite integral. (5x + 1 de 2² + 1

Q: Find the indefinite integral in each of the following. Show all necessary solutions. (2x – 3)dx 2.…

A: Given :∫(2x-3)dxx2+2x+2

Q: x -1 (x? dr +1)x-2) 3.

A: By partial fraction method

Q: Evaluate the indefinite integral. x + 1 da x² + 2x + 2 + C

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Q: Evaluate the given indefinite integral. Indicate u, n, and du. xdx хах 3-x

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Q: (r+3) dr 3. V7-6r - r

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

Q: Evaluate the indefinite integral: | (7x +3x – 6) dæ + C.

A: The given integral is ∫(7x2+3x-6) dx

Q: Evaluate the indefinite integral. 4x3 da (x4 + 1)? + C

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Q: 12 (25x – 46x' + 3)dx J-12

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Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Write the correct u and du. 3. In (cose) tane…

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Q: Evaluate the following indefinite integral fa-9/2 dx +C

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Q: V64 – x? da

A: Given: ∫64-x2xdx

Q: Evaluate the integral, if it exists.  ∫0π/8Sec  2θ   tan 2θ dθ

A: This integral can be solved by the Substitution Method. also these you will need these :

Q: Evaluate the definite or indefinite integral, if they exist. If they do not exist say DNE: S (4x +…

A: To evaluate the given integral

Q: Find the indefinite integral

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Q: Find the general indefinite integrals of: 6x xp. 4. (x2-7)1/9 A

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Q: Evaluate the definite integral. 1 da = 3 +2

A: ∫391x+2dx find definite integral

Q: -(-3у?-у-2)dy 2y3+y2+4y

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Q: x² +4 3.5- dx (х-5)(x? +9)

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Q: Evaluate the following integrals. Show all the necessary solutions. 3. tane de ) 71+ In cose)43

A: Given problem:-

Q: Find the indefinite integral. 5 – ex e4x xp

A: the given integral is I = ∫5-exe4xdx

Q: Find the indefinite integral (-7-7 tan'e) de. S(-7-7 tan'e) de = O

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Q: Evaluate the following integrals.

A: Given that : The integral is ∫68e2x + 2ex + 17 dx .

Q: Evaluate the definite integral. 8. dy /1

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Q: ) Compute the following integrals. When a numerical value is sought, leave your answer in symbolic…

A: .................(1) substitute ...............put it back in equation 1

Q: 1. 2x + 3 X+1

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Q: Evaluate the definite integral. 6. 5v dv

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Q: 1. S dg =

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Q: Find the following indefinite integrals: (a) | 32* In(2r) dr (b) VI+3

A: To find the indefinite integrals: a) ∫3x2 ln(2x) dx b) ∫xx + 33 dx

Q: Evaluate the indefinite integral: (7а? + 4x – 5) dæ

A: Given the indefinite integral I=∫7x2+4x−5dx

Q: 1 (x3+1)2 dx x3 N IM

A: the given integral is I=∫x13+132x23dx

Q: Evaluate the indefinite integral by using the given substitution to reduce the integral to standard…

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Q: Evaluate the definite integral. Fcos (x6) dx

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Q: Evaluate the indefinite integral.

A: To integrate

Q: Evaluate the given indefinite integral. Indicate u, n, and du. xdx 3-x

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Q: 2r dr (1 – r)7

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Q: Evaluate the definite integral (3e2t, 15t4) dt.

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Q: (b) S *+2=-3dx

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Q: Find the indefinite integral. 5. 3 dt 12 +C

A: Formula: ∫(1/x) dx =lnx ∫xndx = xn+1/n+1

Q: Evaluate the indefinite integral. | #(2? + 5)* da 4

A: Given, ∫x(x2+5)4dx Substitute   u=x2+5 ⇒du=2x dx ⇒x dx=du2 ⇒∫u4du2 We know that, ∫a.f(x) dx=a.∫f(x)…

Q: Find the indefinite integral ∫csc2 3t / cot 3t dt

A: Given: I=∫cosec23tcot3tdt for evaluating given integral, we substitute cot3t=x…

Q: Evaluate the definite integral. 'al/3 x5, х6 + а? dx (a > 0)

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Q: 4 S- 3x/10ln(3x)-(In(3x))* 2

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Q: Evaluate the indefinite integral. fo(z - 7°dz + C

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Q: q² In(2x)dx

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Q: cIn 2 et dx (e2x + 8e*+ 7)Z

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Q: Evaluate the indefinite integral x4 + 4 + C

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Q: 3: Evaluate the following definite integrals. / (2x – 62² + x°) dx

A: NOTE: You have posted multiple questions at a time, we have given the answer to the first…

Q: Evaluate the following indefinite integral. 2 dz 28 +C

A: ∫zn dx = zn+1n+1+C

Q: Evaluate the definite integral. (3t – 1)66 dt

A: From the given problem: I=∫033t-166dt    ...1 As we know that, the power rule: ∫xndx=xn+1n+1+C ;…