(2+2æ) · e2z+z² dx as (2a + a2) · e2z+z² +C (2x + a²) · e2z+z +C

Q: Evaluate the indefinite integral: dz +C IV 36z2-1

A:

Q: calculate the integral of: e(x^2/2)

A: We'll use the Maclaurin series expansion for e^(x^2/2).

Q: Evaluate the indefinite integral. fs(2+ 1)*dz + 1)°dæ + C

A:

Q: Evaluate the indefinite integral. | V9 + x2 dx = x* + 9 + + Vx +9 + C

A:

Q: Find the following indefinite integrals through the substitution method. 10. (4- r)%

A:

Q: Evaluate the indefinite integral. 2x - 3 (2x² - 6x + 6)² dx + C

A:

Q: Evaluate the indefinite integral:  ∫ z2(z3 + 1)12 dz

A: Substitute u=z3+1,du=3z2.

Q: Evaluate the integral: Se3+ cosh2x33+ cosh2xsinh2x dx A (3e)3+ sinh2x 21n3 - + C (3e)3 + cosh2x B…

A:

Q: Integrate the following indefinite integral to find the general solution using either the "evidence…

A:

Q: (a) Define a substitution variable u and write / x(x +1)*dx in terms of u. Do not solve the…

A: detailed solution is given below

Q: Evaluate the integrals: x² dx (x-1)(x²+2x+1) -dx 1. S 2. S x²+2x x4-3x²-4

A: Here we have to find the integral.

Q: Use any method to evaluate the integral. dx X>11 (x²-121) 3/2

A:

Q: Find the indefinite integral by making the substitution x = 9 sin e. 6. V81-x2 1 3/2 +C 81 V81-…

A: Option b is correct

Q: If what does the following integral equal? - 31 - 95 [9f(x) + 4g(x) — h(x)]dx = - 31 [ f(x) dx = 9 -…

A:

Q: integral from 1 to 2 of (e1/x^3 ) / x4

A: To evaluate

Q: A. Evaluate the following indefinite integrals using the Power Rule: 1. SE Va dx 2. S dx 3. S(-Vx +…

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) xp J xV81 - (In x)²

A: The given integral is ∫9x81-(ln x)2dx. The integration of 1a2-x2=sin-1xa+c, where c is constant.

Q: I need help solving this integral   integral of e^(-x^2) from negative infinity to positive…

A: The given integral is;

Q: dx J (9x2-36)3 a. b. rV2-ezx dx ex V5+ln²x dx C.

A:

Q: Evaluate the indefinite integral. x2 dx 0.2x3 + 2.7 + 2.7

A: topic - indefinite integral

Q: Evaluate the definite integral. 2 e3x dx 3x 1 + e3x

A: Here, we can see that the numerator is of the form of the derivative of the denominator, hence, we…

Q: 2. ** 3x3-2x²+4 dx 2. S* :

A:

Q: x²+2x+1 dx (x+2)(x−1)²

A:

Q: 10) Evaluate the integrals by substitution 2 -dxp 3 -2 (x² + 2)° a)

A: We have to evaluate the integrals by substitution method: ∫-22xx2+23dx Assuming, t=x2+3 Then…

Q: 6. Evaluate the following indefinite integrals using substitution method. 2x3 (a) S dx (7-2x4)5 (7…

A:

Q: a.) ∫ (4x + 3)1/2  x-5/2 dx

A: Given:

Q: evaluate the indefinite integral / dx. Av7² – 4 xª/x² -

A:

Q: 2x (x+2)-5 dx z

A:

Q: | 3t°(t° + 2)*/² dt 8. 3/2

A:

Q: 17 Evaluate the integral: SERV - dx x²√x² + 25 (A) Which trig substitution is correct for this…

A:

Q: V2xdx ... Evaluate the given definite integral using appropriate substitution: ... 3 ... B ... © V2

A: Given query is to find the value of integral.

Q: Evaluate the indefinite integral. 2x - 3 (2x² - 6x + 1)6 dx + C

A:

Q: Step by step

A:

Q: (AK 1+4x dx = A According to x2 xp- 1+4x2 What is the value of the integral in type A? B) A -A

A: The objective is to find the integration in terms of A.

Q: x²-x-8 /hat is the indefinite integral of (2x – 3 )(x² + 2x + 2) dx

A:

Q: 1+x h) 4+ 2x + x² dx

A:

Q: The rate of change of revenue (in dollars per calculator) from the sale of x calculators is R'(x) =…

A: Here, the rate of change of revenue after the sale of x calculator: R'(x)=(x+5)ln(x+5)

Q: Evaluate the integral (x – 1)ez xp- x² – 2x + 2

A: The objective is to find ∫-∞∞(x-1)eix(x2-2x+2)dx It is known that, eix is an increasing function.…

Q: Evaluate the indefinite integral by using the substitution u=x² + 1 to reduce the integral to…

A:

Q: (ポ-2) X1 X

A: ∫12(x2 -2x)dx/x here now diivide by x ∫12 (x -2)dx [x2/2 - 2x]12 (2)2/2 - 2*2 - 1/2 + 2 2 -4 -1/2+2…

Q: b. Evaluate the integral f using residues and any other method which can be applied to solve this…

A:

Q: Evaluate the integral. dx 10% (a2 + x2,3/2 a>0 (a2 + x2)3/2' a > 0

A:

Q: Evaluate the definite integral. V3/2 1 dx 1+4x²

A: We use Trigonometry substitution method to solve this integral

Q: evaluate the integral using the methods covered in the text so far.

A:

Q: 2. S (x²–5x+3)dx x3-4x²+3x

A:

Q: 3 aluate the indefinite integral by using the substitution u = x + x° to reduce integral to standard…

A: Please refer to the image below

Q: Evaluate (x + 3) V16 - x2 dx by writing it as a sum of two integrals and interpreting one of those…

A:

Q: 5. fx³√√4 - 2x² dx

A:

Q: Evaluate the given definite integral. -2 . Jx(3-x²)*dx -3 -2 S2x(3-x)°d dx = (Type an integer or a…

A:

Q: х — 3 (x+ 2) (x – 1)²

A: The given integral is; (x-3)/[(x+2)(x-1)2].