Given that 3 ex dx — ез . e, use this result to evaluate 5ex 6 dx.

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A: Integrate as general

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A: Since you have asked multiple questions in a single request we would be answering only the first…

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A: Given: And then         ∫-19f(x)dx=14⇒∫-11f(x)dx+∫19f(x)dx=14⇒∫-11f(x)dx+0=14⇒∫-11f(x)dx=14

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

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A: We can find the value of a as below.

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A: We have to check

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A: The given equation is,

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A: See the attachment

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A: Given, I=∫sech22x etanh2x dx To evaluate I using suitable substitution.

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Q: Q3/ By using definition, proof that cot x = - csc? x. dx %3D

A: In this question we will use basic of calculus i.e concept of differentability. Solution of the…

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

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A: Use substitutions method for finding the integral.

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A: Here, note that: ∫cot4x dx=∫cot2x cot2x dx=∫(cosec2x-1) cot2x dx=∫cosec2x cot2x dx-∫cot2x…

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Q: Which of the following is equal to / (2° – 72)*dx = ,

A: follow next step

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Q: 3 ex dx = e3 - e, use this result to evaluate Given that 5ex + 6 dx.

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A: Find the value of the integral ∫11+x3dx. Evaluate the integral as follows. ∫11+x3dx=∫3u21+udu…

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A: I could not find what to do after your steps. So I thought of a different process. I hope this…

Q: | ex dx = e³ – e, use this result to evaluate Given that 4ex + 7 dx. ( +

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A: We have to solve this integration

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A: I=∫x9-x2 dxUsing substitution method:u=9-x2du=-2x dxx dx=-du2=∫x9-x2  dx=∫-1u du2=-12∫duu=-12∫u-12…

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A: Given,∫10 [√(1+e-x) / ex  dx] Substitute (1+e-x) as t

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A: To differentiate the given function.

Q: 3 Given that ex dx = e³ – e, use this result to evaluate 7ex + 4 dx.

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Q: * Please explain how to get from A to B using the above imstRuction s Tha ncs 0.11 9.0909 > x…

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