Consider how we can evaluate this integral using u-substitution: - dx. (3z+1)ª If we let u = 3x + 1, what will be the new integral? * S (u – 1)? - u4 du np 공 J(3u + 1)

Q: 5. In antidifferentiation, the formula f x" dx = (n+1) + Cis valid if? A. nER 6. In item number 5,…

A:

Q: Consider the triple integral I = J. LJ dzdydx. The value of I is: O (-2)/5 O (1)/3 O None of these O…

A:

Q: Consider the triple integral I = , LS dzdydx. The value of I is: O (-2)/5 O None of these O 3/9 )…

A: Given: ∫01∫-10∫0y2dzdydx

Q: ·S- For x1/2 u 1-u² 4u S- S- S -dx and using the substitution -du -du -du 4u 4-(2²) ² -du u=x1/2,…

A:

Q: sint Use the appropriate substitution to evaluate the following integrals: T0 dt (2 + cos t)4 1 +C…

A:

Q: x1/2 ·S. dx and using the substitution = x1/2, the resulting integral takes the form: U (A) / -du…

A:

Q: dx Fa) Evaluate the integral z In(2x) using the substitution u = In(2.x). dx |r In(2ar) +C b)…

A: Topic = Integration

Q: Evaluate the integral x(x – 5)7/2 dx by making the substitution u = x – 5. After substituting we…

A:

Q: We use the Substitution Method to evaluate the given indefinite integral. The substitution u = x + 2…

A:

Q: Evaluate using the Reimann Integral: L2 (2a2 + 3) dæ None of the choices. Please refer to my…

A:

Q: 3x2 dr by substitution, if u =x³+1 then what will be the resulting indefinite integral in terms of u…

A: Solved below

Q: S For x1/2 dx and using the substitution = x1/2, the resulting integral takes the form: x-x3 -du S-…

A:

Q: x1/2 dx and using the substitution u=x1/2, the resulting integral takes the form: U -du ·S (A S- ® /…

A:

Q: 14. We use the substitution u=x-1 to evaluate the integral Find the integral with respect to u. 2u O…

A: Fro the given problem: I=∫x2x-1dx..(1) Use the substitution method to solve the integral: Given:…

Q: dz Evaluate the integral 22 Iz-1=2 2i

A: Cauchy integral formula

Q: farctan(6y) dy: Consider the integral 1+ 36y2 This can be transformed into a basic integral by…

A:

Q: [25/² – 36 dz Evaluate the integral: (A) Which trig substitution is correct for this intearal?

A:

Q: For O x 1/2 -dx and using the substitution=x1/2, the resulting integral takes the form: -du du -du…

A:

Q: For the integral cotx 4x csc4x dx, if we let u=cot x, what is the re-written form of the integral? A…

A: The given integral,       ∫cot4x csc4x dx

Q: deo 9,757 meeee 2 W S 3 To find the arclength of y = 4x² OL= f* VI +64zdz √√1 + 8a² da √1 + 642² da…

A:

Q: Compute the integral (2" eleio, n > 1.) -d0 as a function of n. en i.0 (You may assume

A:

Q: Let n be a positive integer, and a and b two positive real numbers. 1 Use a substitution to evaluate…

A: Given: ∫xn-1a+bxndx

Q: ·S S For S- x 1/2 -dx and using the substitution=x 1/2, the resulting integral takes the form: 4u…

A: To find the equivalent integral to the given integral- ∫x1/2x-x3dx using substitution u=x1/2.

Q: Consider the indefinite integral 9e9x dx: (e9r + 2)® This can be transformed into a basic integral…

A: Solved below

Q: 3x2 -dx by substitution, if 4 =x³+1 then what will be the resulting indefinite integral in terms of…

A: We will evaluate the given integral by using substitution as shown below

Q: S- S- °S- S For x 1/2 x- U U 1-u4 4u dx and using the substitution -du -du -du 4u √4-(24²) 2 -du…

A:

Q: ·S- A 4u B [4-(2u²) ² C) -du V 4u Ⓒ* D -du 4 For x 1/2 -dx and using the substitution u=x1/2, the…

A: We have to solve above integral

Q: -1/2 dx and using the substitution u=x1/2, the resulting integral takes the form: x-x -du -du S- @ /…

A:

Q: g(b) Use the Substitution Formula, f(g(x)) g'(x) dx = f(u) du where g(x) = u, to evaluate the…

A:

Q: Consider the triple integral I = S S dzdydx. The value of I is: O None of these O 3/9 O 1)/3 O…

A: The correct answer is option A. Given integral to evaluate I=∫01∫-10∫0y2dzdydx The value of the…

Q: Solve the integral below with u-substitution. Hints will appear after 3, 6, and 9 attempts. 5…

A:

Q: Evaluate the integral a"(2* – 8)** dz, 36 | by making the appropriate substitution: u = Je"(=* - 8)"…

A:

Q: (In(z))² dz: Consider the indefinite integral This can be transformed into a basic integral by…

A:

Q: ‹S- A S Ⓡ /- © /- S- D For dx and using the substitution = x1/2, the resulting integral takes the…

A: Just use the substitution and find the required integral. Option (B) is correct.

Q: (2x +)x dx | (28 + 4x5 + 4x²)? sing u-substitution and transformation of the integrand, then the p…

A: We will solve the integration using substitution.

Q: Evaluate using the Reimann Integral: L, (2a? + 3) dæ O -21 O 15 None of the choices. Please refer to…

A: I have stated the used formula in the solution

Q: dx (a) Evaluate the integral using the substitution x In(4x) u = In(4.x). dx |+C %3D x In(4x) (b)…

A:

Q: -t √3u U Evaluate the integral: So So So S² S³ 2442 ds du dt s²+u²

A: A detailed solution is given below.

Q: -S- A Ⓡ / T B C S (D) S- For x1/2 dx and using the substitution u=x¹ x1/2, the resulting integral…

A:

Q: x1/2 S dx and using the substitution = x 1/2, the resulting integral takes the form: x-x³ U A / du U…

A:

Q: ·S- For x 1/2 dx and using the substitution=x1/2, the resulting integral takes t U -du 1-u² 4u 4-4²…

A:

Q: In evaluating x+2 dx by substitution, if u =x+2 then what will be the resulting indefinite integral…

A:

Q: Jse the substitution u = 5x +3x to evaluate the indefinite integral below. S(10x+3W5K² + 3x dx…

A: The given integral is ∫10x+35x2+3xdx

Q: 13 xp: x²/x² + 9 Evaluate the integral: (A) Which trig substitution is correct for this integral? x…

A:

Q: eiz 0o cos x dx? cos z Can you use - 1+ z2 instead of - 1+ z2 to obtain the integral for Jo 1+x²

A:

Q: I sent screen shot, also would like the value of the integral.

A: Given curve is y=3x^2+4 from x=0 to x=4Firstly, we will find dy/dx

Q: 3x2 In evaluating by substitution, if u =x³+1 then what will be the resulting indefinite integral in…

A: We have to calculate integral by substitutions

Q: Evaluate the integral L(9te") i + (9e 2") j+ (4) kļat. J[(otea") i+ (9e 2) j+(4) k]at = ([ i+ +.…

A:

Q: When working out the integral below, with u, du method, 6. Jx4* dx (4 raised to the exponent x) (a)…

A: Indefinite Integration

Q: Watch the video on a u-substitution followed by a this question. To start the integral a V1+x6 dx,…

A: Given problem is : Solution : We use substitution to simplify the integral.