3) Find each integral by substitution 2x+1

Q: Evaluate the integral.

A:

Q: cos x2

A:

Q: 12) Find each integral by substitution xe

A:

Q: Find the integral. 7*+ 14x (x+1)e

A:

Q: (3t² – 4t + 7) dt

A: Given problem is :

Q: Evaluate the integral of e^(2lnx)

A: We simplify  e^(2lnx) first.

Q: Evaluate the integrals

A: As per company guidelines, I can solve only one question.

Q: (1 point) Evaluate the integral by making the given substitution. dx (3x + 14)4 3x +14 u

A: Using integration by substitution

Q: sec²(/T+1) dr. 9.

A: To integrate ∫sec2x+1xdx Substitute u=x+1 Then         dudx=ddxx+1       =ddxx+ddx1       =12x12-1+0…

Q: 1 x5(x4 + 3)

A:

Q: 64 + x2 dx

A:

Q: 2x ०5+.a

A: We use substitution method to solve this integration

Q: Evaluate the integral. 3 + 2 | du

A: This is a definite integral which can be solved using below formula    ∫ab f(x) dx= [ φ(x) ]ab = φ(…

Q: Evaluate the integral:∫xe−2xdx

A:

Q: Evaluate the integral ∫θ4√ (1 - θ2) dθ

A:

Q: Evaluate the integral. (7xe + 4ex) dx

A:

Q: 3) Find each indefinite integral. b. / ya dæ xp- -dæ a.

A: Integrate

Q: Evaluate the integral of 2e2xdx from 0 to 1

A: Our Aim is to evaluate the integral given below:-∫012e2x dx -(i)

Q: Use substitution to find each indefinite integral. a. 4(2r +3) dr

A: Given: I=∫42x+34dx for evaluating given integral, we substitute 2x+3=t…

Q: dr V9+ 8a-a2

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 11) Find each integral by substitution a) Jóx(3x' +1)'dx 10x+1 b) ] (5x +x+8)

A: (a)∫6x3x2+18dx Let 3x2+1=u The derivative of the above equation. 6x+0=dudx6xdx=du Substitute the…

Q: Evaluate the integral. '4 x2 + x + 1 xp Jo (x + 1)2(x + 2)

A:

Q: Evaluate the integral. 3 x² + x + 1 xp lo (x + 1)²(x + 2)

A: To find:-   Method:- we use partial fraction method

Q: Evaluate the integral. xp x² + 6x +13

A:

Q: 1 | x(x² + 2)³dx

A: Given, ∫01xx2+23dx  We have to evaluate integral using u-substitution.

Q: Evaluate the integral. xex . (1 + x)2 xp

A:

Q: Evaluate each integral. 1. dr VI² - 1 2. I Cos az dz 7x +1 dr 1² – x – 2 3. -エー|

A: We have to evaluate the given integrals. Here we will use the following formulas-…

Q: Evaluate the integral. | In(9 x – 8) da +C

A:

Q: Evaluate the integral. 63e V7x 2 /x xp

A:

Q: Evaluate the integral (1 + 2y)ªdy.

A:

Q: Solve the integral: 1 x +x²dx -

A: We need to calculate the value of ∫-1 2x+x2dx

Q: LEvaluate the integral: 10 – 2x + x²dx. -

A: Since you have posted multiple questions, asper our policy we will answer first question. Please…

Q: x² XP aX

A: This is solve by substitution method

Q: Evaluate the integral. ∫ 32x7 dx ____________________+ C

A:

Q: 1. x² +1

A: some integrals are given, we have to integrate it

Q: find the integral I Jr*-16 Jx

A: We use the trigonometric Identity  (Secx)^2-(tanx)^2=1

Q: Evaluate the integral. (41) ² (1 + 1)² dx

A:

Q: [²₂ 0 y√2y - y²dy

A:

Q: Evaluate the integral: 13 – 64x dx - + C

A:

Q: x+2 (х-1(х+3) xP *

A:

Q: Evaluate the integral: VI+2

A:

Q: evaluate the integral. 7 te? 1. 5X 2

A: As per guideline we can solve maximum one question ,you can repost other question

Q: 4. Find the integral in each part a) / (a* + VI)dr

A: The solution of given problem is followed by

Q: sec 2x CSC 2%

A: Solution: Consider the given integral: Now, rewrite the integral: Let u = cos 2x

Q: dx (x² + 1)4

A: Solve the intergral in

Q: Evaluate the integral. 9x 26e" +C dx

A:

Q: Find the integral. хебх (6x + 1)2 xp

A:

Q: 64 1+ Va

A: Given integral, Let us start by dividing each term of numerator by denominator separately. Let us…