C2. By dividing the range into 8 equal parts, evaluate 1 dx using Simpson's rule. 4x +9

Q: S In(5æ)dx Choose... dx /2x-a2 Choose...

A:

Q: 4. Which is negative, 8 dx or 8 dx?

A: We find the integrals first

Q: 3. What is Se3x dx?

A:

Q: 1. Se²-3× dx 2. dx

A: To evaluate the given integrals.

Q: Evaluate . (6r –10)e*dx

A:

Q: 3 Given that 3. e dx = e° - e, use this result to evaluate 3ex + 4 dx.

A:

Q: Choose the statement below that is FALSE (only 1 is false) and piein why it is taise. \a (x+ 2)² 6 #…

A:

Q: 3. 4x 3 + dx

A:

Q: 19. What is the equivalent value of *Vx+ Tdx 20. In evaluating (&+ Idx x dx which one is to be used?…

A: The solution for the above question is as shown below.

Q: make the given substitutions to evaluate the indefiniteintegrals. dx/ √(5x + 8)

A:

Q: 27 (" Vsin 2x dx = ?

A: Let  I = ∫02πsin22xdx After applying exponent rule a2=a, we can write  I=∫02πsin2xdx Now we need to…

Q: Evaluate 1 foto dx. 6 + e-4x -dx 1 6+e - 4x = + C

A: Given : ∫16+e-4xdx To find: Evaluate the given integral

Q: (1+x3)5 dx

A:

Q: S egral dx (x²+4)² can be transfa

A: Answer is option-(d).   Using basic equations of trigonometry and substitution we got the answer as…

Q: 6. If Jo(2x* +x-a)) dx = 24, find the value of a constant.

A: ∫0262x2+x-a dx=24

Q: 6 7. S 36+x² dx

A:

Q: d -(In(5x + 4)) dx Find

A:

Q: Evaluate. (Be sure to check by differentiating!) 6. dx, x4 5. 一 6+5x

A:

Q: Which of the following is equal to / (2° – 72)*dx = ,

A: follow next step

Q: 3 ex dx = e3 - e, use this result to evaluate Given that 5ex + 6 dx.

A:

Q: zc)z (32- 5х) dx —

A: We have to find

Q: So (2+7x) et ¹ dx

A:

Q: 1. dx x-19-x

A: Given :∫dxx49-x2

Q: 1 dx, x > 2 x2 Vx2 – 4

A:

Q: 2х + у dy 3+ 3у? — х dx 3.

A:

Q: S,(3x + a)dx = 10 , then a =

A: Given: ∫123x2+adx=10 As we know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And ∫a·fxdx=a·∫fxdx;…

Q: 6. §, (x +1)? e*dx •4 dx х —1 7. 2 8. x²cos2xdx

A: Note :  As per our guidelines we are supposed to answer only one question and 3-subparts. Since you…

Q: 1. f 2²x²+1 dx

A: In this question, we want to evaluate the given integral.

Q: 7 Ja? Calculate 5x dx, given the following. 6. 7. 6. 386 X dx%3D 3 x dx= 16.5 x dx = 93 2. 4

A:

Q: 43. Evaluate I = dx or state that it diverges. lo x(2x+5)

A: Given integral is The integral is improper as the integrand approaches infinity at x=0. Therefore,

Q: Evaluate (from 2 to 5) ∫(5x2+5)/x2 dx

A: topic - definite integral

Q: 3 What is the value of -8e -2x+1 dx?

A: Consider the given integral

Q: 3) Se-*.cosh(2x) dx

A: cosine hyperbolic function we can write in terms of exponential function Coshx= [e^(x)+ e^(-x)]/2

Q: b. Find S 5x*(x5 – 1)dx using a suitable substitution.

A:

Q: A) Evaluate 1 dx. I vit 6x – x² -

A: In this question we will use basic of calculus i.e concept of integration. First we will convert the…

Q: 14 Approximate (x2 - 3) dx using 4 rectangles. 2

A: Solution -    Given Integral is -  y=∫214(x2-3)dx    Now we have to evaluate the value of the…

Q: valuate. (Be sure to check by differentiating!) 1 dx, x - 3+7x 3/7

A: Evaluate the given integral and check it by differentiation. ∫13+7xdx, x≠-37

Q: 4. Describe in detail three separate ways to find /. Evaluate any two of these to show that they are…

A: I=∫x9-x2 dxUsing substitution method:u=9-x2du=-2x dxx dx=-du2=∫x9-x2  dx=∫-1u du2=-12∫duu=-12∫u-12…

Q: 9. For what value of k, k> 0, does (4kx-5k) dx = k² O 1 O 2 3 O 4

A: On solving this we will get

Q: Evaluate. Check by differentiating. /x+ 13 dx

A: ∫x3x+13.dx

Q: integrate the following using the substitution 1.)  ∫ ?^5(9z^6-7)^8 dz 2.)∫(5 − 3?^7x)^1/3 e^-7x…

A:

Q: Evaluate. (Be sure to check by differentiatingl) 1 dx, x# - 3 9+ 3x

A: To evaluate: I=∫19+3xdx Use the rule: ∫1xdx=ln |x|+C

Q: Which of the following is equal to – 7æ)*dx = . %3D

A:

Q: 8. The value of -dx is 2 22 Preview

A: Given integral is This is evaluated by using the result that integral of (x^n)dx is x^(n+1)/(n+1)

Q: In e* dx Evaluate 25+4x4

A:

Q: 3 Given that ex dx = e³ – e, use this result to evaluate 7ex + 4 dx.

A:

Q: Find the value of b so that (2x – 1)dx = 10 O 1 O 4 O 2 3

A:

Q: Q2- Evaluate 1- L,(x + 2)*e=x+2)dx.

A:

Q: 5 |V25 – x² dx Compute the value of

A: Given: I=∫0525-x2dx we know that ∫a2-x2dx=x2a2-x2+a22sin-1xa+c                                  ...1

Q: Evaluate a dx a2 +k? -

A: From the given problem: I=∫x-ax2+k2dx So, we can also write as:…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.