1. Evaluate the following integrals using appropriate methods and simplify your answers. e* dx (b) /. dr tan(2²) Hint: Look carefully or you risk missing something important.

Q: raluate the following indefinite integral. Ssin x sin2.x dx

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Q: Use a table of integrals to find the indefinite integral.

A: To find: The integration of ∫e3x1+ex3dx. Formula used: Power rule of integration: ∫xndx=xn+1n+1+C…

Q: Q2 – Evaluate the following integrals. 1 -dx 1-sinx iii.

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Q: dx 4. S 25 – 16x²

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Q: 1. Approximate the value of each of the following definite integrals using: i. Trapezoidal Rule

A: As per Bartleby's answering policy, we can answer only one question, so kindly post the remaining…

Q: ) 「ざs")dx

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Q: S 4x cos(2 – 3x) dx

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Q: aluate the following definite integral by using the properties of Beta and mma functions. sin'x dx o…

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Q: e2x sin(e)dx cos (ezx)+3

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

Q: Evaluate the indefinite integral. dx + C

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Q: dx V1– 18x?

A: To evaluate the given integral.

Q: Evaluate the following indefinite integrals S xe3x² dx and S (x + 4)lnx dx.

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Q: 9 arccos(9x) dx V1 – 81x²

A: Given: An indefinite integral ∫9 cos-1(9x)1-81x2dx This integral can be solved by the substitution…

Q: Find the following indefinite integral. +2e -0.1x dx

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Q: Evaluate the improper integral if it exists e dx:

A: Answer

Q: Consider the indefinite integral 4 dx

A: Given,           ∫44+exdx

Q: 5х — 2 dx x² +1 - 10.)

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Q: 2ea dx (ет — 1)2 1

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Q: Evaluate the improper integral if it exists e'dx:

A: We have to use properties of integration.

Q: dx (apply the properties on how to solve improper integrals 1 – x²

A: Given query is to find the value of the integral.

Q: In x dx 7.) /

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Q: -aluate the following integral cln 2 cosh x UTM =dx. sinh? x + 4 sinh x + 2

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Q: Evaluate the following integrals: dx x4 ||

A: We can find the integration as below.

Q: Consider dx. What will be the appropriate solution and answer to this improper integral?

A: Here we have to find the appropriate solution and answer to this improper integral∫-∞1xe-x2dx

Q: Use a table of integrals to find the indefinite integral

A: Consider the given integral ∫ex1-e2x32dx

Q: Evaluate the following integrals.∫(ex-e-x)/(ex+e-x)dx

A: Given integral is ∫ex-e-xex+e-xdx. Consider u=ex+e-x. Then, du=ex-e-xdx

Q: 1. Find the following integrals using the graph below: g(x) dx 24 g(x) 4 g(x) dx )dx g(x)dx

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Q: Use any appropriate method to evaluate the following integral: (x^3)*(e^(x^2)) dx

A: Simple Integration problem....

Q: 1 |xe*dx 1-

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Q: Evaluate the following indefinite integral. dx

A: Here is the solution

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

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

Q: Evaluate the improper integral or show that it diverges. (1+4x)e*dx

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Q: Evaluate the following indefinite integrals: S (5.x2 – 3x)(2x + 4)dx а.

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Q: x Inx dx .2 4. dx 4-x2 3.

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Q: 1 dx = 4 + x

A: To findI=∫19+x24dx

Q: Evaluate the following integrals. Reasonable work is expected! 1.) 4x²e" dx

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Q: dx

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Q: 4. Evaluate the integral: In6 -2x + sinh 2x|dx e2x + e-2x

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Q: Evaluate the following integral. dx 1+ e2x - In 13 ex dx = 2x 1+ - In 13 (Type an exact answer.)

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

Q: Evaluate the indefinite integral given below. 4e4/z² dx

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Q: Find the indefinite integrals. S- 2x -) dx J(금 a)

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Q: Determine the following indefinite integral.

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Q: Vx* +4 dx 2 x +4

A: From the given integral: I=∫dxx2x2+4  ......(1) Use the trigonometric substitution to find the…

Q: 6. Use the Method of Substitution to find the indefinite integrals: et*dt b) /; 9 xp=

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Q: Evaluate the following integral cln 2 cosh x dx. sinh² 0. x + 4 sinh x + 2

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Q: Evaluate the indefinite integral. e dx

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Q: 1. Evaluate these integrals either by substitution or by integration by parts: cln 2 et a sin(2r) dr…

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

Q: sech x3 tanh x3 iii. S- dx

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Q: Evaluate the integrals in ∫ln 2 log2 x/x dx

A: ∫ln (2) *log2xxdxChange of base rulelogab=logcblogca Formula∫xndx=xn+1n+1+C

Q: Evaluate the following improper integral: dx.

A: