2 log e Evaluating the definite integral of : -dx from 1 to a certain integer k yields 2. Find the value of k.

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Q: Find the indefinite integral. Hint: 9. = 1 - (Use C for the constant of integration. Remember to use…

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Q: 1. (a) First find the following indefinite integral A. e666 B. 2e667 (e - 1) e√x+666 [= √x dx = (b)…

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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: 11.3_7 Can you please help with a step by step guide? Thank you very much in advance. Use the Log…

A: We have to find indefinite integral with the help of log rule.Integral is given below:

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Q: Solve if the improper integral below diverges or converges. If it converges, solve for the value. La…

A: This question can be solved using the concept of convergence and definite integrals.

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Q: 11.3_5 Can you please help with a step by step guide? Thank you very much in advance. Use the Log…

A: To calculate the indefinitel integral of the given function

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Q: 11.3_9 Can you please help with a step by step guide? Thank you very much in advance. Use the Log…

A: To obtain the indefinite integral using the log rule

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Q: 11.3_8 Can you please help with a step by step guide? Thank you very much in advance. Use the Log…

A: The log rule to compute the value of the indefinite integral is

Q: II. Perform the integration. sinh?(e¬") dx e# cosh(e-¤) 2 4.

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Q: (d) (x² + 1)² dx (e) L dx (x² + 1)² (f) eir dx

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Q: The definite integral (-+) dx when evaluated is equal to - 11 Find the value of a." 12 3Vx. a

A: Given ∫49-xa+13xdx = -1112we know that∫xn dx = xn+1n+1 + C

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Q: •3 (k) 6* dx

A: SINGLE REQUEST SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN, WE WILL BE ANSWERING ONLY THE FIRST…

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Q: (c) Prove, using the definitions of sinh and cosh in terms of the exponential function, that…

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Q: logz x (Hint: rewrite using change of base first) a) S" dx

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Q: 1 Sz Find the indefinite integral S[=1714 14 X 17 0 dx = 3 X 14 X 14 X 1 3 dx.

A: Solution : Given that indefinite integral is

Q: (1+logx) To evaluate the integral e dx we use the substitution O a. =t O b. (1+logx )²=t O c.…

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Q: Find the value of the constant C for which the integral 5 1² (√x²³²+ 16- X ³+ 4) ax (v dx converges.…

A: We have to find C .

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Q: Find the indefinite integral. (Use C for the constant of integration.) | VECES + √t(t + t - 4) dt TE

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Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by…

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Q: Evaluate the integral / x e4x² dx by making the substitution u = 4x². After substituting we have:…

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Q: Find the following indefinite integral x^3 e^x^2 dx

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