3 The value of the integral -ds is s2 (Type an exact answer, using radicals as needed.)

Q: Compute the given approximation to the integral.

A:

Q: Calculate the integral approximation S12 for Si ²1 dx. +1 S12 =

A:

Q: Solve the integral: S- ® in/1+x A) an 1 B_5n/1+x' 5 6 1 √√√x + x + C + C c dx

A:

Q: Q2:Solve the integrals as in below: a²+b² 1- j dy 2- S dy e -0.5 2y 3 1 3- (7-V5y ²)² . e dy 4- dy…

A: 2 . ∫0∞ e-(y2-3y)a2+b2  dy  = e-(y2-3y)a2+b2.(y33-3y22) limits from 0 to ∞ Now e-(y2-3y)a2+b2…

Q: tan (In 4x) cos (In |(2x)"|)|+C. what is b? The integral of dx is b In A B 2 4 4

A: Given :  ∫tan(ln|4x2|)xdx=bln(|cos(ln|(2x)a|)| +C   To find : Value of b

Q: Evaluate by algebra dx 1. S 3 1+ √x+1

A:

Q: The integral ₁₁x – y dxdy is equal to: Select one: 0 O2 O None of them -2

A:

Q: Evaluate the integrals. -32 a. S x-6/5 dx 1 -π/³1 - cos 2x b. 2 -TT/3 -dx

A:

Q: Find the integral of s(2i - 2) dz x) dx N/3

A: ∫xndx=xn+1n+1+C

Q: Evaluate the integral. 4π S t² sin(2t) dt

A:

Q: The value of the improper integral 42 x² e¯¤* dx 1 - 14e 14e-1 - O 14e-1 O 42e-1 O – 42e-1

A: Explanation of the solution is given below...

Q: Evaluate the following integrals (round your answers to four decimals). 23 Зе2 a) Sdx b) Sše“ (In…

A:

Q: In this question, you are asked to investigate the following improper integral: XPs- 10.1 Firstly,…

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

Q: -2 2 7e" + dy -5

A:

Q: Q1/ Use Gauss-Legendre formula to evaluate the integral o e-dx withn= 3.

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

Q: Find the answer to this integral:

A:

Q: You found that the reduction formula of a certain integral is In = x"+2e2= - (n + 2) In-1 and that 1…

A: As per our guidelins we can solve only 1 question. The next question can be reposted.  Here we have…

Q: 2. Evaluate the given integral. a da /3 — а 0,

A: Given:                 ∫02a3-αdα Apply u-substitution: u=3-α⇒du=-123-a…

Q: Q2:Solve the integrals as in below: (y2-3y a²+b² dy 1+/y o 2- S 1- dy е (7 (7-J3y²) -0.5 2у 3 1 3- S…

A: According to the guidelines of bartleby I will do only first question please ask rest of the…

Q: - (In /3) /4 4 e4x dx 1 + e8x

A:

Q: The improper integral (A) e B) © ⒸO D 1 8 Stoe ex dx is

A: Given that,

Q: 3. The integral of an t dx is b In|sec(In(2x)ª)|. What is b? A. 1/2 В. 1/4 с. 2 D. 4

A:

Q: Evaluate the integral i) 2 S² Say e& dady

A:

Q: by taking |In x · dx: solution of the integral with Simpson's 1/3 method Inx n = 2 which one? 1

A:

Q: 1- Find the integral of: A 2 cot - de 3 T7/2 А-

A:

Q: ot nohstan od Solve the following PDEe IS DCD-20'-3)u=ey TMethods for finding Particular integrale.

A:

Q: 2. Given the integral: S, e'/x dx; n = 8

A: Given,          ∫13e1/xdx;  n=8

Q: Solve the following integral, using any method shown in class. z-1 dz 2z2 + 10z

A: We have to find the integral ∫z=1z-1z3-2z2+10zdz.

Q: 3. Solve below definite integrals (a) [²3test d (b) ["* dt, 3tedt, ["¹ (c) In(x) -d.x,

A:

Q: Evaluate the double integral. eln 3 3 7 dx dy In x ey In 3 3 7 dx dy = (Type an exact answer in…

A:

Q: Compute the approximation  of the integral -4 to 4 e^(-x^2) using the trapezoid rule with n=4; you…

A:

Q: d) Determine the infinite integrals of the following e+2 i. ii. 2 3 sin2x dx

A: Evaluation of the integral

Q: 2. Evaluate the following integrals. et a. (e2 +3)Ve2 – 16e-2" + 6

A: Solution

Q: 11. The integral of nunex dx is bln]sec(In(2x)")|. What is b? A. 2 B. 2 C. 4 D.

A:

Q: ∞ Soo 8 2 "dx -7X e

A:

Q: S( z +1) e2² dz

A:

Q: The solution of integral Vu2 + u +1 du is:

A:

Q: Evaluate the integrals S[ti+7 j+(t+1)k]

A:

Q: Q2:Solve the integrals as in below: 2-3y a² +b2 dy 1- j 2- S 3 (7* (7-3y 2)2 dy 0.5 2y 3- S -1 7 + e…

A: (Solving first three subparts as per our guidelines) Solution: 1.∫01yy5+1dy Now, ∫yy5+1dy…

Q: Select from the subsections, the one that corresponds to a step of the solution procedure of the…

A:

Q: In evaluating x(4 – x)3 dx , if we use the substitution that u = 4– x, then what will be the…

A:

Q: Evaluate the integral using Simpson's 1/3 and Simpson's 3/8 with n%3D11. Express the answer in four…

A: Simpson's 13 rule: We need to evaluate ∫14x-1 dx with n=11 Now, h=b-an We have a=1, b=4, n=11 So,…

Q: 1. Evaluate the integral Vi-x² ex?+y*dydx.

A: 1. The given integral is, ∫01∫01-x2ex2+y2dydx. Convert the integral into polar coordinates as…

Q: 1 The value of the integral is x² + 1 O a. 1 O b. 0 O c. 4 O d. TI

A:

Q: 3- The value of the integral , by using simpson method andn 3 is 0.96375. F TO

A:

Q: THIS BE SOLVED ANALYTICALLY? SO, HOW? (a=0.75 STILL) dy=ay (1-2y). 6y³ - dt 4y³+5 SET UP THE…

A:

Q: Find a formula involving integrals for a particular solution of D.E y" + 3y" – y' – 3y = tan x

A:

Q: dx Evaluate the given integral: S- xV5x2-4

A:

Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.