L(2x – V16 – x²) dx 46.

Q: 2 lnx dx 1 x2

A:

Q: dx 3. (x+2)Vx+1

A:

Q: 9. z In(1 + x²) dx

A: As mentioned to solve only question number 9.Question number 9,Given,          ∫xln1+x2dx

Q: If Arctan gx 3. dx =b Arctan* 3x +C, what is b?

A: Solving the given integral by substitution.

Q: Vr² +1 dx = = -xVx* + l (8) +1 +-In x + +1+C

A: It is integration problem.

Q: How would I solve this problem using the product rule?

A:

Q: dx 4. S x²+4x+13

A:

Q: 3 Evaluate: (-x² + 4x – 1)dx 1

A: Solution:To find the definite integral:Formula:∫xndx=xn+1n+1+C

Q: 5 dx 3. dx, x> 25x2-9

A:

Q: I'm a little confused, about how d/dx(ln4x) becomes 1/4x(4)

A:

Q: 4-2x 33. dy dx 0 J 2

A:

Q: Evaluate the definite integral.

A:

Q: ч.) -17x° - 4 x + 3) ·dx

A:

Q: 1 dx Vx - 1|

A:

Q: x2 + 3x – 1 Vx + 5 dx

A:

Q: How do you take the integral of 2 * sqrt(t^2 + 1) ?

A: Given ∫2t2+1dt

Q: V16 – x² dx x2

A:

Q: ,0 2x²-1 x6 - 3x + 15 dx

A:

Q: 2 3 x 3 8 + x° •dx 6.

A:

Q: 3 dx V9 – x2

A: We know that, ∫dxa2-x2=sin-1xa+C   ∫03dx9-x2=∫03dx32-x2                    =sin-1x3+C Now applying…

Q: 1 dx x2 -4

A:

Q: Vx + 4x + 3 dx x + 2

A:

Q: 2dx x (3(ln x)2 + 12 In r – 15)

A: Indefinite Integration

Q: 2 SE V4 – 9x² dx 3

A:

Q: evaluate using the appropriate method or combination of methods.

A: Factor the denominator

Q: 9.I = fe* dx V3+4e*

A: There are multiple question. As per company policy kindly ask other question separately. 9.

Q: Integrate the function. dx x/49x² – 4

A:

Q: uate the integral. 9. (x2 + 2x – 5) dx 4.

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

Q: evaluate the integral.

A:

Q: What is the antiderivative of 9x^2 times (1 + x^3)^1/2 ?

A: The given expression is,

Q: Зх +5 .-4x+9 - dx Зx? — 4х +9

A:

Q: 21. Jo 0 dx (x + 1)(x² + 1)

A:

Q: In the last part of step 1 for ds/dx, where does the 1 under the square root go? Why does it just…

A: Let's solve.

Q: What is the value of (2.0)given y = 2sin(4x) dz

A: This can be done as follows:

Q: 5x dx (4 + x²)²

A: Follow the steps.

Q: 4 dx is equal to: xv16 - x2

A: we have to find the following integral

Q: 41Stañdx= Q22x+1 X'+2X+1

A: (1) Given integral is ∫tan−1xdx It can be written as ∫tan−1x⋅1dx Use integration formula…

Q: 3 24) [(1 -x² )² dx

A: To evaluate the given integrals

Q: p4-2x 33. dy dx

A: In this question we have to solve double Integration. Note: As per our policy we are suppose to do…

Q: Integrate: dx x2+7x+6

A:

Q: dv + 2x * v = x³ dx

A: We have to solve the following differential equation -  dvdx+2x·v = x3

Q: 2x dx x2 + 2x + 5

A:

Q: r4-2x 33. dy dx

A: According to guidelines, we can solve only the first question and the rest of the questions can be…

Q: Using appropriate substitution 9x2 – 4 dx X is equal to

A:

Q: So 3 -dx 4 9 + 4x CV 9r + 4x³

A: The given definite integral is ∫0329x+4x39+4x4dx

Q: Q1: what is on (3x) SI2 dx x2

A:

Q: 2 4 dx J x/3(1+x²/3) 3 gin

A:

Q: What is the value of ∫3kf(x) dx given that ∫133f(x) dx=−3 and ∫k13f(x) dx=4?

A: Consider the provided question, We have to find  ∫k3f(x)dx.Given, ∫313f(x)dx=-3  and  ∫13kf(x)dx=4

Q: 2x dx 4+x2

A: Given:

Q: Evaluate | S 3x+5a dx x+3a

A: Here I am attaching image so that you understand each and every step.