dx 51. 1 + e*

Q: Evaluate the integral. dx (х — 12)(х — 15)

A:

Q: Compute the integral x 2 dx.

A: In this question we will use basic of calculus i.e concept of integration. We will use simple basic…

Q: ) 「ざs")dx

A:

Q: evaluate the given integral.

A:

Q: Evaluate the integral.

A: Recall

Q: Lx In x dx.

A: ∫1exlnxdx

Q: Consider the integral (In(x))° dx:

A:

Q: Evaluate the integral [e2 cos(2x)dx.

A:

Q: Compute this integral ∫( sqrt((e^x) +1) dx

A: To Compute this integral ∫( sqrt((e^x) +1) dx

Q: Evaluate the improper integral: e-X dx

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

Q: dx (x-1)/x²+3

A: From the given problem:   I=∫dxx-1x2+3 ...(1)   Now substitute in equation(1).…

Q: Evaluate the integral. S-3x cos(2x) dx

A:

Q: Find the integral of dx Vx+1

A:

Q: Evaluate the integral. 6 dx 16

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Q: Find the integral

A:

Q: Evaluate the integral. dx 2x – 1

A: Let 2x - 1= u hence, 2dx = du Or, dx = du/2 when x = 2; u = 2 x 2 - 1 = 3 when x = 5 ; u = 2 x 5 - 1…

Q: Evaluate the integrals in ∫8 e(x+1) dx

A: ∫8ex+1 dx Put  x+1=t⇒1+0=dtdx⇒dx=dt

Q: Evaluate the integral.

A: Given: ∫ex1-e2xdx

Q: Evaluate the integral: el/z dx -1

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Q: Evaluate the integral.

A:

Q: Use the Table of Integrals to evaluate the integral.

A:

Q: Evaluate the integral from [1, e^3] ln^3(x^2) / x  dx

A:

Q: Evaluate the integral f e² In (x²+1)dx

A: ∫e2ln(x2+1)dx

Q: Evaluate the integral. S-x cos(3x) dx

A: Use integration by parts method

Q: aメ+ 3 dx 2+4

A:

Q: dx 4 3

A:

Q: e*dx e2x +1

A: We know that; ∫axdx=axlna+C And ddxcot-1x=-11+x2   Given: I=∫7cot-1exexdxe2x+1   ....1

Q: S x³et*dx

A: A detailed solution is given below

Q: Evaluate the integrals in ∫e-1/x2/x3 dx

A: ∫e-1x2x3 dx Put, -1x2=t⇒2x3=dtdx⇒1x3 dx=dt2

Q: dx Ух — 12

A:

Q: X- S2 *dx

A:

Q: Evaluate the integral: S (in ce) dx = (8 ln(x))²dx 2 (x8) ( ×

A: Evaluate ∫lnx82dx=?

Q: calculate the integral.

A: Given integral:

Q: dx -x - e

A:

Q: Evaluate the integral. In 5 2x 3 e X dx 0.

A: Basic integrals : →∫mneaxdx  = eaxamn Properties of Logarithm : →aln(x) = ln(x)a. →elnx=x.

Q: Evaluate the integral: x² e3a dx

A: This question is related to Indefinite Integral, we will use Integration by parts formula to solve…

Q: Evaluate the integral. . 4 1) x In 2x dx 1

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Q: Evaluate the integrals in ∫dx/x

A: Given:               ∫1x dx Let: y=ln x

Q: Compute the integral 4x /5 – e2¤ dx. e

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Q: Evaluate the integral. 50x In(x) dx : + C

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Q: Evaluate the integral ∫dx / 5√x−1.

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Q: Evaluate the integrals in ∫e1/x/x2 dx

A: Our Aim is to evaluate the integral given below:-I=∫e1/xx2dx -(i)

Q: Evaluate the integral.

A: Our Aim is to evaluate the integral given below:-I=1[cos(x)-1]dx     -(i)

Q: 1 X° - 1 - dx In x ах

A: According to the given information, it is required to evaluate the given integral.

Q: dx x (In x)5

A:

Q: Evaluate the integrals:

A:

Q: Evaluate the integral. * +5V dx

A: