1 dx xVx² – 1

Q: Evaluate the following integrals Sxcos(3x) dx 2. COS

A: topic - definite integral

Q: Evaluate the following integrals: 2r - 2r + 1 dx 1)

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Q: Evaluate the integrals

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Q: Evaluate the given integrals. V3+2 cos 3x xp: V1+cot23x 9.

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Q: evaluate the given integral.

A: Then we use substitution

Q: Evaluate the following integrals (i) So V1– cos 2xdx

A: Since there are multiple questions posted, we will answer the first one (i). If you want the…

Q: Solve the following integrals: a) SVI+ - v2 dx b) Sxcos 2x? dx

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Q: Evaluate the following integrals. 1. S sin*(2x) dx

A: As per bartleby guidelines we only give first question answers.

Q: Calculate the given integral: S4 sec°(11x) dx

A: Given : ∫4sec611xdx

Q: Suggest a trigonometric substitution for each integral, and then write the new integral that results…

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Q: Given the integral 6e3x dx

A: The given integral ∫6e3xdx can be evaluated as,  Put, e3x=t 3e3xdx=dt   e3xdx=13dt Therefore,…

Q: Evaluate the following integrals 1 3x 2x + y²)dydx a.

A: Solve the following

Q: x² + 2 xp (х — 2)(x2 — 2х + 2)

A: The given integral is: I=∫x2+2x-2x2-2x+2dx   We know that; ∫1ax+bdx=1alnax+b+C

Q: Consider the following integrals 00 4 sin? x i. dx x² + 6 e9t dt ii. e9t – 1 Mark the correct one…

A: Given: i.∫1∞4 sin2xx2+6dx ii.∫01e9t dte9t-1

Q: A. Evaluate the following integrals. ´sec² 0' dx 4. tan 0

A: The integration of the integral is sec2(theta) /tan(theta).

Q: dx h) S x2+4x+8

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Q: Determine the following integrals (a). cos xsin.xdx (b) [- dx 17-5x+6 (c) fxe*dx

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Q: Find the integrals. Ax dx a)

A: Given : ∫5e-4xdx

Q: Use the Table of Integrals to evaluate the integral. e70 sin 60 de

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Q: 2 - dx x2 +1 01

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Q: x²e²³, dx

A: The given integral

Q: Evaluate the following indefinite integrals: +3.7 4. da 6. 12 sec 0 tan 0 d0 7.

A: Explanation of the answer is as follows

Q: Find the following indefinite integrals. dx Vx + 2 +C !!

A: To evaluate the integral: I=∫xx+2dx...(1)

Q: Evaluate the following integrals. (a) / (csc0)(1+ sin² 0 + sin 0 cot² 0) d0 (b) /: (e) / dr VI-2r2 +…

A: Part(a) We need to evaluate ∫csc θ1+sin2θ+sinθ cot2θdθ Consider: ∫csc θ1+sin2θ+sinθ cot2θdθ=∫csc…

Q: dx Vx²+2x+5

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Q: Which of the following is one of the correct/convenient steps to evaluate cot-4dx which will yield…

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Q: Evaluate the given integrals. 5. J(1 – cos 0) csc²0 d0

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Q: Evaluate the integral. 5 22 e dx = +C

A: Note the following results in integration and differentiation :  ∫ab=a∫b-∫a'∫b    ..................…

Q: If x = -1, c = 0, then the product of the * following integral is 2 dx x3

A: I am going to solve the given problem by using some simple calculus to get the required result of…

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: Determine the following indefinite integral. /) dx ,9 dx =

A: Given:                      ∫x5-x95dx               =∫x52-x95dx              =∫x52dx-∫x95dx…

Q: Evaluate the following integrals: i. Se- cos(20)de ii. dx Va+100

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Q: tan 2x dx 2. S (3+ln cos 2x)6

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Q: So S(xy²) dxdy 4. 3

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Q: Determine the following integrals or state that they diverge. 2.) xln(x)dx 0.

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Q: 6. dx √x²-4x+13

A: We will use simple Integration rules to solve this question.

Q: 1 dx sin°(2x)

A: Solution:Given∫1sin6 2xdxFormula;d uv=vu'-uv'v2sin2x+cos2x=1∫xn dx =xn+1n+1

Q: Evaluate the integrals below:. cos3x .dx, b) elsin3x) – 1). a) 0.

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Q: Evaluate the indefinite integral.

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Q: Evaluate the given integrals. Seš (6 – e) dx -1 3. es (6

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Q: Evaluate the followaing integrals Li (1– 2sin?(x).sin(4x) dx) |

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Q: Evaluate the integral. 9x 26e" +C dx

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Q: arctan(3r) da =

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Q: Evaluate the given integrals. dx 3. Csc 3x-cot 3x

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Q: 3x + 1 dx 4x2 + 1 (a)

A: Since multiple questions are asked, I am answering first question. Please repost other question

Q: Evaluate the following Integrals: 1. 6x² sin x³ dx

A: NOTE: As per our guidelines, I have solved the first problem in the picture.

Q: 6. Sxe -3* dx хе

A: We solve the above integral using integral by parts which is given in step 2 .

Q: Evaluate the given integrals. ex dx 7. e 2x+2ex+1

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Q: Determine the following integrals. ∫ ( y2+1 ) -5/4y dy

A: Our Aim is to evaluate the integral given below:-∫y(y2+1)54dy -(i)