S(1 + In x)x*d.

Q: w'ew dw -1

A: Using integration by part's & definite integral.

Q: Evaluate the integral. In 2 e2X dx (Hint: eln a = a)

A:

Q: 5. S Evaluate the integral, if it exists. du √u - 2u² Ա

A:

Q: Consider the integral 7x dæ 1+ x? 00 If the integral is divergent, type an upper-case "D".…

A:

Q: Evaluate the integral / -2(In x)? dx

A: Given,         ∫-2lnx2dx

Q: Q2: Evaluate the integral ° In xdx using by parts formula

A: We use integral by part

Q: Find the integral +1 dr = +C

A:

Q: Evaluate the integrals

A:

Q: s(s - 1)° ds

A:

Q: Evaluate the integral. r 5 (In(x))² x3 dx

A: The integration by parts formula is ∫udv=uv-∫vdu

Q: z- 3*dz

A:

Q: Find the following integral. x² In x dx

A: We find it integral by parts. Then:

Q: Evaluate the integral S,"12x – 6|dx

A:

Q: Evaluate the integral. |, arctan(1/x) dx (: -) * + In( *) 9. 2 O +In 2 4 (÷ - *) *+ In V3 8 n + 4 9.…

A:

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 following integrals: a) s* dx x In x

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

Q: EVALUATE THE INTEGRAL FOLLOWING ITERATED 6 2 So So S²³² (-2x + 5y + z ) dx dy dz

A:

Q: Evaluate the improper integral xe d

A:

Q: Evaluate the integral by making the given substitution.   ∫ x3(2 + x4)5  dx , u =2 +x4

A:

Q: Which of the following is the general power formula for integrals whenever n # -1? Sx"dx = x"+1 + C…

A:

Q: 4. Evaluate the following integrals. (a) / + 5 - +e-* )dx

A:

Q: Evaluate the integral: - c s 4x)dx

A:

Q: Evaluate the integral. In(10 x 9) dx +C

A:

Q: Evaluate the integral i) 2 S² Say e& dady

A:

Q: S x³et*dx

A: A detailed solution is given below

Q: ズ e' 3-e 2x

A: a)∫5xx24x4-9dxb)∫2ex3-e2xdx

Q: Evaluate the following integrals.

A:

Q: Evaluate the integral

A:

Q: Evaluate the integrals. ∫x7√(x4 + 1) dx

A: The given integral is ∫x7x4+1dx.

Q: X- S2 *dx

A:

Q: S In² x dx

A: To evaluate the integral: ∫ln2x dx Solution: Integration by parts states that: ∫uv dx=u∫v dx-∫ddxu∫v…

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

A: Evaluate ∫lnx82dx=?

Q: Evaluate the following integrals.

A: We have  I=∫1e1dxxln2x+2lnx+2                         ⋯⋯(1) Let  lnx=u1xdx=du       and limits  u→-1…

Q: Evaluate the integral or state that it diverges.

A:

Q: 1 e 9- z

A:

Q: 4) |x² . In x dx

A: Given : to evaluate the integrals∫x2 ln x dxformula: integration by parts∫u dv=uv-∫v du

Q: Use the properties to evaluate the integrals. S (1+) du 1.

A:

Q: etermine the following integrals by using (IF) 1. S dx 4x2+4x+1

A: Topic:- integration

Q: Evaluate the following integral x* In(x) dx

A: The integral I=∫0ex4lnx dx can be solved by using integration by parts. Where u=ln(x), v=x4 and…

Q: Evaluate the integral * x"e*dx for n = 0, 1, 2, and 3.

A: As per the instruction, we will answer only the first one. For (a) For n=0,   ∫0∞ e-xdx=-e-x0∞…

Q: Evaluate the integral.

A: Given: ∫12e1xx2dx

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

A:

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 following integrals by parts 5) f x1 x ln x dx

A:

Q: S In x dx

A: the given integral is: ∫lnx dx we have to evaluate the given integral.

Q: 1 X° - 1 - dx In x ах

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

Q: 1. Determine the following integrals: (a) dr (b) (7-)da

A:

Q: Q5- Evaluate the integral, x(In x) Jo(x)dx

A: The expansion of the function J0x is  J0x=∑n=0∞-1nx2n22nn!2                 (i) Multiplying x ln x…

Q: Evaluate the integral. ,2 X- + x + 1 dx o (x + 1)2(x + 2)

A: