Evaluate the definite integral. 3 3 dy y /1

Q: 9. Evaluate the following definite integral. In x - dx P 1+3 (b) [*m* dx dx

A: Given: I1=∫0111+x2dx, I2=∫12lnxxdx we know that ∫dt1+t2=tan-1t+c…

Q: dx e* + e* +ex 5. ・ So =

A: We can find the answer as below.

Q: 1. Evaluate the following indefinite integral: 1 dx 5 – 3x

A: Given integral: ∫15-3x dx

Q: 1 So x2-4 dx an improper integral. (5 points each) 3. Find a value of b >0 that makes

A: Given the function :

Q: Evaluate the definite integral. 1 #111: e3/x dx а. xe dx b. #113: 0. 1

A:

Q: 2. Evaluate the following definite integrals: S dx -22-x b. S32 sinx dx а. С.

A:

Q: 71. Perform the following definite integral. 2 (1 – e-x/2) dx x=0

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: Evaluate the definite integral. cln 8 So° f (x) dx, ƒ (xæ) =6e* /(5+e*)

A:

Q: 9. √x SOL -√√x dx

A: We will solve the given integral using simple Integration rules.q

Q: I. Evaluate the following integrals. •ln 2 #3. e2" sec-(e")dx

A:

Q: 10. Evaluate the definite integrals by u-substitution. In5 Te(3-4e) de ( 2 cos 3x dx b. а.

A: a. ∫0π62 cos3x dxb. ∫0ln 5ex3-4ex dx

Q: 1 Consider the definite integral dx: o (26 – 7)® This can be transformed into a basic integral by…

A:

Q: 7. Evaluate the definite integrals. a) S TVr - Idx b) Si evE dx

A:

Q: Evaluate the following integral. 3 5 e dz dx dy -2 4 1

A: Calculation:

Q: Evaluate the following 5 integrals. You do not have to simplify your answer. 12 1.) /3 1 + 1+x? 5e"…

A:

Q: 2 Evaluate the definite integral S: 1 dx. 1 x+a2 ter -17 a- 19

A: solution:

Q: Evaluate the definite integral. 8. dy /1

A:

Q: b) s Evaluate each of the following integrals. a) dr. b) sin° 0 cos³ 0 d0.

A:

Q: 1. Which of the following integrals are definite? Circle all that apply. 2t dt 13-sint 1. [e²*…

A: Definite integral means where the limit of the integral is given. In #a and #b they do not have…

Q: Evaluate the definite integral. 3 12√/5y + 1 dy 12√/5y + 1 dy = (Simplify your answer.)

A: Here is the solution:

Q: 7.) Evaluate the following definite and indefinite integrals a.) ò (5-2x* -2x*-cos.x)dx +6x)dx b.)

A: Follow step 2

Q: y3 dy |(1– 2y*)$

A:

Q: sın x 2+cos.x

A:

Q: 6. Which of the following integrals can be solved easily using u-substitution? |* sin (z*)dz a² sin…

A: To find: The integrals that can be solved using u substitution. Concept used: ∫fgx·g'xdx=∫fudu…

Q: following integrals 3 a) Evaluate IT2-4xy+4y² dxdy=? 0, 0.

A: Given that the double integral To find evaluate the double integral

Q: 2. Which of the following integrals are improper? Why? T/4 tan x dx (b) " Jud (a) tan x dx dx (c) L…

A:

Q: Evaluate the following indefinite integral: 2(1 + e*) dx (x + e*)3

A:

Q: 9. Evaluate the following definite integrals. (7 2 (1) 2 x? cos xdx (2) J.

A: According to our guidelines, we can answer only three subparts of a question or first question.…

Q: Q4: Evaluate each of the following integrals: (a) | (4+ cos x)· sin x dx (Substitution)

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Q: So S(xy²) dxdy 4. 3

A:

Q: |e(1+e*}*dx

A: Integral.

Q: 1. Find the following definite integrals: 1 (a) / 3r*(3x* – 2)5 dæ 1 r2 (b) - 2² – 1 xe dx

A:

Q: 25. Evaluate the following definite integrals. e) L, 3wv4 – w2 dw

A:

Q: Evaluate the definite integral. 'al/3 x5, х6 + а? dx (a > 0)

A:

Q: 1. Evaluate the following integrals. (a) r* log x dx (1) / . dr

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Q: Calculate the following definite integral. (e2 +x+ 2)dx

A:

Q: Evaluate the definite integral. 8. dx 3

A:

Q: Evaluate the definite integral 05/dx. Give an exact, completely simplified 0.5_6x² answer. Hint:…

A: Use  substitution method for solving integral.

Q: 3) Evaluate the following definite integral : x 1 + x dx

A: We are solving the first question and for the next question post the question again andalso mention…

Q: (d) Find the following indefinite integrals. xer (i) 1+e? xp. (ii) | cos (2r) sin (2r) dx

A:

Q: 2. Find the following definite and indefinite integrals. Use Substitution when needed a) f…

A:

Q: 6. dx 13+4x- ?ܢ

A: A detailed solution is given below.

Q: (ii) Find the following indefinite integrals: 1 (a) dx (b) dx 5 - x* xe* ! dx (c)

A: A)I=∫ 1x3+1x3 dxI=∫ x-3 dx + ∫ x-13 dxI=x-3+1-3+1 +x-13+1-13+1 +CI=-12x2+3 x232 +CI=32x23 -12x2+C

Q: 25. Evaluate the following definite integrals. dy d) (y+2)

A:

Q: (3) Evaluate the following indefinite and definite integrals: (a) ſ(x³ +e* )dx (b) 1 |dx + XVx -1 2…

A: We will evaluate the given integrals as shown below

Q: Evaluate the definite integral. dx JT none of the choices

A:

Q: 7. Which of the following definite integrals is equal to 0? * dz B. z(z+ 1)dz c. (2 + 2) dz D. L(²…

A: As per our guidelines we can solve only one question. Rest questions can be reposted.  In question…

Q: 3 Evaluate the integral: J3 a(x-3) dx Answer:

A:

Q: 1 Evaluate the integral Só E (n+1)x" 5h dx. Please don't leave answers as series. n=0

A: Given: I=∫02∑n=0∞n+1xn5n dx

Q: Evaluate the definite integral. Son f (x) dæ, ƒ (x) =6e" /(4+e*)

A: It is known that: ddxekx=kekx∫ekxdx=1kekx+C