Evaluate the integral. The symbols a and b are constants greater than 1. You are not required to combine like terms, reduce fractions, or otherwise simplify your final answer. 를 e²y+eY 16) S- -dy ey 17) -dt 18) St²cos(2t)dt

Q: Approximate the value of the integral by use of the trapezoidal rule, using n 8. 11 121-x dx

A:

Q: Evaluate the integral 31 by making the substitution u = x° – 4. + C NOTE: Your answer should be in…

A: Given,  ∫ x4x5-431dx

Q: Use geometry to evaluate the following integrals.

A:

Q: Use the substitution formula to evaluate the integral. S'ia dx (Hint: simplify first) 1 2 11 22

A: Solve the following

Q: A? : da dy 2π

A:

Q: 3evy dy 4 У 18.

A: Given: I=∫3ey4ydy   ...1   We know that, ∫cfxdx=c·∫fxdx where ''c'' is the constant.

Q: Use the properties to evaluate the integrals. 1. S; (1 + ) dx

A:

Q: Evaluate the given integral with suitable substitution : 5z 10r (20 + 20) dr

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

Q: Use the technique of completing the square to evaluate the following integrals. 163. 1. .2 + 10x

A:

Q: Evaluate the integral: So " (10 + 2z? + 2y²)dx dy. 160 3. 100 3. 110 3. None of these. 140 3

A:

Q: Find the integral +1 dr = +C

A:

Q: The integral can be rewritten as 6u³ (a). u + 1 6u4 (c). u² + 1 :). -du du dx 3³√x + √√x 派 派 6u² u²…

A:

Q: Evaluate the integrals by making a substitution(possibly trigonometric) and then applying a…

A:

Q: Evaluate the Integral (9ze" )dz + C

A: Evaluate the integral.      ∫9xex+5 dx

Q: Next, use the substitution w = x² – 9 to find the integral: SZ, da = S 1/w dw = In(w) +C =…

A:

Q: The integral can be rewritten as (a). 6 6u³ du u+1 6u4 (c). √ ₁²+1² -du dx ³√x + √x √ (b). Sū 6u² u²…

A:

Q: The value of the improper integral, if exists: 6ze dr =

A: Evaluate the integral ∫1∞ 6xe-x2 dx

Q: Evaluate the integrals dr b) 24 dy yVy-16 c) x+3 2r - 8x (6)

A:

Q: The improper integral o be +25 da Select one:

A:

Q: -(-3у?-у-2)dy 2y3+y2+4y

A:

Q: Evaluate the integral frever se 2. SS ー2 SinXy dsdx メ

A: Here we are given the following region of integration: The first part of region represent: x = y…

Q: Using a Table of Integrals with the appropriate substitution, find ſešz + 2e2z + 8e de Ve2x – 36

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dy V12y +1 +C

A: we need to evaluate the integral :

Q: Evaluate the integral: a² /1+ 9=*dz

A:

Q: t0 SinnlVx) 기 x

A:

Q: If | h(w)dw = 16 and | h(w)dw = 4.7 what does the following integral equal? h(w)dw =

A: Given ∫-64hwdw=16 and ∫04hwdw=4.7 We have to find value of ∫-60hwdw We know that ∫abfxdx=-∫bafxdx…

Q: Evaluate the integral 45 1)" da, by making the appropriate substitution: u = 45 dx =

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dy V8y + 1 +C

A:

Q: Use substitution to find the indefinite integral.

A: Use substitution to find the indefinite integral.                ∫e1zz2 dz

Q: Use symmetry to evaluate the following integrals. 1. 10 A00- 2. (1-1피)dr

A:

Q: Choose the most appropriate answer The integral : S(6x + 7e*)dr = %3D

A:

Q: Evaluate the following integrals where a=3, b=5

A:

Q: Find the integral by using the integral table on the inside bac dx x(x + 5) + C

A:

Q: 39+ 5 dy (5y~7)2

A:

Q: Evaluate the integrals. It may be necessary to use a substitution first. ∫ dt/t4 + 4t2 + 3

A:

Q: Evaluate the integral by making an appropriate change of variables. 3e9x + 9y dA, where R is given…

A:

Q: the sketch, Evaluate & reverse of integral 3. dj dx

A: Definition used- Reverse the order double integral – In double integral, we can reverse the order of…

Q: Write the integral in terms of u and du. Then evaluate. xV9x + 4 dx, u = 9x +4 (Use symbolic…

A:

Q: Evaluate the integral. (x8 + 6y5) dy

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dy V10y+1 +C

A:

Q: Evaluate the integral. SS xyz dxdy dz 0. 35,721 A B) 23,814 c) 11,907 D 35,721

A: To evaluate the integralFormula:∫xkdx=xk+1k+1+C

Q: Evaluate the integral by making the given substitution. sec(4x)tan(4x)dx, u = 4x + C

A:

Q: p9 ]n Y dy 4

A:

Q: Find the integral ∫3e^3? d?

A: Given,

Q: Use symmetry to evaluate the following integrals. r10 -10 200- 1 2. (1-1피)dr 1.

A: Detailed solution is given below.

Q: The integral can be rewritten as 6u³ (a). Su + 1 di du 6u4 (c). √ ₁² + 1 du dx ³√x + √x S 6u² (b). √…

A: Given :∫dxx3+x

Q: Evaluate the integrals. It may be necessary to use a substitution first. ∫ y + 3/2y3 - 8y dy

A:

Q: Evaluate the integral *(2 – 6)"dz 10 - by making the substitution u = x° - 6. + C NOTE: Your answer…

A:

Q: The integral can be rewritten as 6u³ (a). [√ 小 1+1 6u4 (c). Su u² + 1 - du du dx √x + √x S 6u² u² +…

A: Given:       ∫dxx3+x     Prepare for substitution:        =∫16x56·6xx6+1dx  substitute…

Q: If h(u)du = 4 and .6 h(u)du = 4.4 what does the following integral equal? h(u)du =

A: