Evaluate the integral + 3)(x² + 3x + 5)* dx by making the substitution u = x² + 3x + 5. + C NOTE: Your answer should be in terms of x and not u.

Q: Evaluate the iterated integral. 8 4 b²b²x + (x + y) dy dx

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

Q: The improper integral 1 dx is 'o 2V1-x²

A: this can solve simply by apply the integration formula

Q: Evaluate the integral dx (3x + 15)²’ by making the appropriate substitution: u = dx + 15)?

A: To evaluate:∫dx3x+152

Q: -1-y 3) Evaluate the integral dxdzdy?

A:

Q: A u substitution has been used to evaluate the following integral. [ ²₁ f(x) dx = [₁, 2²( [²₁x² (7 +…

A:

Q: Evaluate the integral of ((x dx) / (x + 1)^8) from 0 to 1.

A:

Q: Evaluate the integral dx (5ӕ + 10)2 by making the appropriate substitution: u = dx (5x + 10)? II

A:

Q: Evaluate the integral fa*(2* – 2)" dz 15 by making the substitution u x4 – 2. -

A: Given : ∫x3(x4-2)15dx

Q: Evaluate the integral dx (2x + 11) by making the appropriate substitution: u =

A:

Q: Evaluate the integral f 2x (x² + 6)° dx using the substitution u = x2 + 6. | 20(x² + 6)* dzx +C

A: In this question, the concept of Integration is applied. Integration Integration is a method of…

Q: 1 dɔ V9-x² 3

A:

Q: 2x Evaluate the improper integral J dx, if it exists. (x2 + 64)2

A:

Q: Evaluate the integral *(* – 10)"dz 6 by making the substitution u = 1 z° – 10- +C

A: ∫un du = un+1n+1+C ; where 'C' is an integration constant.

Q: Evaluate the integral f 2x (x? + 1)“ dx using the substitution u = x2 + 1.

A:

Q: Evaluate the integral 24 11) dx, by making the appropriate substitution: u = Ja* (2* – 11)*“dz =

A: ∫ un du =un+1n+1+C

Q: Evaluate the double integral. 8ху? dA, D is enclosed by x = 0 and x = 4 – y2

A:

Q: Evaluate the integral 20 | by making the appropriate substitution: u = 5 – 2 (2³ – 2)® dx %3D -

A: Evaluate the integrals

Q: Evaluate the integral. HINT: 3 x2 dx J2 x - 1

A:

Q: Evaluate the integral. V4– e2¤ dx +C

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Evaluate the integral.

A: Given integral: ∫121241-x2dx

Q: Find the integral. J 3 x√9 - (In x)² + C dx

A:

Q: Evaluate the integral. J-Txe* dx -7(x +1)e -*+C a. O b. -7(x – 1)e*+C Oc. 7(x +1)e-*+C O d. 7xe-* +C…

A:

Q: Evaluate the integral f 2x (x? + 5)° dx using the substitution u = x2 + 5. 2x (x² + 5)° dx +C

A:

Q: Evaluate the integral (= - 11)" de, 26 by making the appropriate substitution: u = 26 |- NOTE: Your…

A: Proceed as shown below...

Q: Evaluate the integral f 2x (x² + 3)° dx using the substitution u = x2 + 3.

A:

Q: Evaluate the integral dx (8x + 3)3 by making the appropriate substitution: u = 8х + 3 dx (8x + 3)3…

A: Recall:    ∫un du=un+1n+1+c ; where c is an integration constant.

Q: Use the specified substitution to find or evaluate the integral.

A: Consider the provided integral, ∫01 dx23-xx+1 Evaluate the provided integral. ∫01…

Q: Evaluate the integral fe (2x+4) (x² + 4x + 2) dx n- by making the substitution u = x²+ 4x +2.

A: In the question we have to find the integral of the given function.

Q: Evaluate the integral using the given substitution. Sx4x5 -s;² dx , u =x5 -8 * - 8) + C

A: We have to solve given integral by substitution.

Q: Evaluate the integral dx (7x + 6)2 by making the appropriate substitution: u = dx (7x + 6)

A:

Q: Evaluate the integral 35 dz 4 by making the substitution u = x* – 6. +C

A: integration

Q: Use the substitution formula to evaluate the integral. Vx +1 dx B) 2/2 - 1 D) 3/2 - 3

A:

Q: Evaluate the integral f 2x (x² +1)** dx using the substitution 14 u = x² + 1. | 20 (a² + 1)“ dx +C

A: The given integral is: I=∫2x(x2+1)14dx Substitute u=x2+1 After differentiating,…

Q: Evaluate the integral. dx J2 (x² – 1)3/2 -Csc O

A:

Q: Q2/Evaluated the integrals v2 1- f– (1-v2 )2

A: The integration of v2/(1-v2)5/2.

Q: Evaluate the integral dx (4x + 14) by making the appropriate substitution: u = dæ (4x + 14)* Submit…

A:

Q: Evaluate the integral dx (2x + 6) by making the appropriate substitution: u = dx (2a + 6)°

A: To evaluate the given integral.

Q: Evaluate the integral dx (2x + 4)* by making the appropriate substitution: u = dx (2x + 4)°

A:

Q: Use the Trapezoidal Rule to evaluate the integral S |r| x²dx O 2 O -2 O 1 -1

A: Given Intergral ∫-11xx2dx. We have to find the value of it by using the Trapezoidal Rule. The…

Q: Evaluate the double integral. 8xy2 dA,    D is enclosed by x = 0 and x = (4-y^2)^1/2

A:

Q: Evaluate the integral. dx i. 2 x²Vx2–1°

A:

Q: Evaluate the integral F(= - 0)"dz, (x³ by making the appropriate substitution: u = P(* - 0)"de -…

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute…

Q: Evaluate the integral. 7 - x2 | x5y dy

A:

Q: Q2: Evaluate the integral fx In x dx using by parts formula

A: Note:- As per our guidelines, We can answer the first question since the exact one wasn’t specified.…

Q: Evaluate using integration by parts o D (x²-3) e² dx е

A:

Q: Evaluate the integral of ((x dx)/(x + 1)8) from o to 1.

A:

Q: Evaluate the improper integral dz, if it exist (x² + 49)2

A: Here we have to evaluate the given improper integral.

Q: Evaluate the integral.

A: Evaluate the integral.              ∫04-x2x2ydy

Q: Evaluate the integral in (7x) -dx. Choose the correct answer below. O A. - In (x) - 16 1 +C 16x* -In…

A:

Q: dx, Evaluate the improper integral : [° 6x³e-3x°

A: