Directions: For 2-9, evaluate each indefinite integral by finding the antiderivative. Yo need to use substitution or integration by parts. 2) S V3x dx 3) S 300x dx

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) eu du (8 – e")2

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Q: x? dy dx by reversing the order of integration. 4/x Evaluate

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 4 dx (1 –…

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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Q: ((csc(y))2 – csc(y)cot(y)) dy

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Q: dx V1+ e2=

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Q: Express the integral in terms of the variable u, but do not evaluate it 7xу 20 — 2? dx; и — 20 — х?…

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Q: Use substitution to find the indefinite integral.

A: Substitute u=9x2+18x,du=18x+18.

Q: Find the indefinite integral. (Use c for the constant of integration.) | (4t°i + 8tj – 4Vik) dt

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Q: (2+2æ) · e2z+z² dx as (2a + a2) · e2z+z² +C (2x + a²) · e2z+z +C

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Q: Evaluate the integral. 1/4 | 4 secx dx 1/4 I sec²x dx = [ O 4 sec x dx = (Type an exact answer.)

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Q: Evaluate the integral. (Use C for the constant of integration.) 16 xp +C Need Help?

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Q: sec? x etanx dx 8. V1 + etanx

A: Let us assume:u=1+etanxdu=0+etanx·d(tanx)du=sec2x·etanxdx

Q: Evaluate the integral. 11 sinh (Vx) dx 4 9 11 sinh (Vx) dx = x/ 4 (Type an exact answer.)

A: To evaluate the integral,  ∫4911sinhx xdx By using the u-substitution method,  Let u=x,…

Q: olve the given DEQ whose solution is defined by integrals. Show each step of vorking for this…

A: We use the fact d(constant)=0  for determining costant C.

Q: Find the most general antiderivative or indefinite integral. csc 30 de csc 30 - sin 30

A: The objective is to evaluate the integral.

Q: Find the indefinite integral. (Use C for the constant of integration.) 4 xp XV 16 – (In x)2

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Q: x+4 5. S #dx

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Q: xe*dx .3.

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Q: Use substitution to evaluate the definite integral y(2y? – 3)°dy.

A: I hope that this solution will help you .Thankyou. Best regards.

Q: 2х V 522 — 7

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Q: y + 2 Vhat is the indefinite integral of dy ? (y² – 1)(y² + 1 )´)

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Q: y + 2 dy (y² – 1)(y² + 1 )* What is the indefinite integral of

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Q: Use the Substitution Method to evaluate the following indefinite integral. (Don't forget your…

A: Consider  ∫x(x2+1)9dx

Q: 5+x-1 dx x3+1 4.

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) a + bx? dx 8ax + bx

A: topic - integration

Q: Evaluate the integral. NOTE: Enter the exact answer. xe* dy dr =

A: We have to evaluate the given integral- ∫08∫01xexydydx Here we will use the following formulas-…

Q: Express the integral in terms of the variable u, but do not evaluate it. Зау 15 — 2? dx; и — = 15 –…

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Q: x tan? V1 – x2 sec? V1 – x2 V1– x2

A: Consider the integral: I=∫x tan2 1-x2 sec2 1-x21-x2dx……1

Q: Find Integral. anhx dx

A: We have to find the integral ;  ∫(tanhx)dx

Q: 5-e xp 2x 2x e du= 2e2x

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Q: First make a substitution and then use integration by parts to evaluate the integral. (Use C for the…

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Q: luate the integral. (Use C for the constant of integration sin(2x) xp 21 + cos?(x)

A: The integration of  sin(2x) / (21 + cos2(x)).

Q: Use the substitution u =x +3 to evaluate the indefinite integral below. dx

A: Given Data: Integrand: ∫2xx2+35dx Substitution: u=x2+3 ......1 The derivative of equation (1) with…

Q: Find the indifinite integral. 2x +1) ex²+x dx

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Q: Evaluate the indefinite integrals using Substitution. (use C for the constant of integration.) dz…

A: In this question, we need to evaluate the integrals using substitution method.

Q: Can i get help step by step with this problem?

A: To evaluate the below indefinite integral

Q: Use integration by parts to evaluate the definite integral: -0.6 3xe dx = -20.238 1.9 Report answer…

A: To solve the given definite integral.

Q: Find the value of the definite integral 1 1 dx. (1+ v7)4 Show Your work

A: Our Aim is to find the value of the definite integral:-I=∫011(1+x)4dx  -(i)

Q: -dy dx in this order. y' +1 4a.) Explain why you can’t integrate b.) Change the order and evaluate…

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Q: eiz 0o cos x dx? cos z Can you use - 1+ z2 instead of - 1+ z2 to obtain the integral for Jo 1+x²

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Q: First make a substitution and then use integration by parts to evaluate the integral. (Use C for the…

A: The given integral,       ∫9 sinlnx dx

Q: valuate the indefinite integral 23 dx x4 + 4 + C

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Q: 描 罪 樂 排 Evaluate the indefinite integral. (Use C for the constant of integration.) (3t + 4)2.2 dt

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Q: valuate the indefinite integral. ∫9sin^5(x)cos(x)dx

A: Given that the integral we need to evaluate that  integral. let I=∫9sin^5(x)cos(x)dx let us…

Q: Express the integral in terms of the variable u, but do not evaluate it. 4x-3 dx; — 4х — 3 NOTE:…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) y²(5 – y³)2/3 dy

A: Let I = ∫y2(5 - y3)2/3 dy   I = ?

Q: Evaluate the integral. (Use C for the constant of integration.) eu du (1 eu)2

A: To find the required integral involving exponential function, by using a suitable substitution

Q: Evaluate the integral. (Use C for the constant of integration.) x^2/(49 − x^2)^1/2 dx

A: I =  ∫x249-x2 dx   I = ? Formulas: 1. ∫dxa2 - x2 = sin-1xa + c 2. ∫a2 - x2 dx = xa2 - x22 +…

Q: X/2

A: We have to find ∫3x2 dx.