12. Express the following quotient in simplest form without the use of negative exponents. 5x'y" x'y* 2

Q: Find the indefinite integral sec* 7x dx.

A: To find the indefinite integral of ∫sec47xdx

Q: Find the indefinite integral ∫tan6 3x dx

A:

Q: Find the indefinite integral. sinh(6 – 7x) dx

A: Consider the integral  ∫sinh(6-7x)dx

Q: 1. Evaluate the integral dx Jo x2 + 4x + 20

A:

Q: 5. Integrate the following by first using the rule (elnx = x) to rewrite the exponential part and…

A:

Q: Evaluate the integrals in Exercises

A: ∫-ln20cosh2x2dx∫0ln104sinh2x2dx

Q: Find the indefinite integral. S 5xe-xdx

A: We can make it easier for you

Q: Ex Evaluote S 4e sinhx..dx

A:

Q: Evaluate the definite integral. '5 3 7 x2 dx

A:

Q: Evaluate the indefinite integral: S √4x + 9 dx

A: Given.

Q: Evaulate the indefinite integral x^12/((16-x^2)^(15/12))

A: To integrate the given function

Q: S. 3 44. dx x* + 4x + 29

A: The given integral is  ∫3x2+4x+29dx

Q: Find the indefinite integral

A:

Q: Evaluate the definite integral. (4y° - 3) dy 8. 2. 1 - (4y° - 3) dy = (Simplify your 8. 9. 2. -1

A:

Q: 2. Evaluate each of the following definite integrals: [5.xdx (i) (Ans. 90); (ii) (" (Ans. 16); (iii)…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: Evaluate the definite integral 8 (4х + 10)dx

A:

Q: Q18 *: If sinhx 3. then x = 4. In 2 %3D True False

A: Given: If sinhx=34 then x=ln2

Q: Express lim,00 E= cos( + ) in integral notation. i=1 _2n

A: Since, the above equation is given in the form of Riemann's integral, which is given by-…

Q: 2 sinlbx) +1-cosX lim

A: Given,           limx→02sin4x+1-cosxx

Q: Evaluate the definite integral. 3 (8* – 4*) dx

A:

Q: Find the indefinite integral. 5 – ex e4x xp

A: the given integral is I = ∫5-exe4xdx

Q: (3y- 2 )cy y´+2y+17

A: The given integral is ∫3y-2dyy2+2y+17. We have to evaluate the value of given indefinite…

Q: find the indefinite integral of the ff   ∫x √x+1dx

A: Given integral is, ∫ xx+1dx.   It is integrated as follows:   Apply u-substitution, u=x+1 ∫…

Q: Show dz 4 In= 는I미페 - for a<0. x <

A:

Q: 12. S xtanhx²dx 13. S(cosh4x + sinh2x)dx

A:

Q: Find the indefinite integral. 9(9x + 2)4 dx + C

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: Q1: Solve integral the following: 1- fx.√x-8dx 2- sin 2xdx

A: The integral is  1.∫x.x-8 dx2.∫0π4sin2x dx Following integration formulas are used-…

Q: Evaluate the indefinite integral: S 9x“ cos (x³ + 6) dæ COS

A: Given,  ∫9x4cosx5+6dx  We have to evaluate the integral using substitution.

Q: Find the indefinite integral. sinh(8 – 7x) dx

A: From the given problem: I=∫sinh8-7xdx  ....(1) As we know that; ∫sinhxdx=coshx+C

Q: Evaluate the indefinite integral 6 4 dx 9x + C

A:

Q: sech(In x) 9) dx

A: ∫15 sechln xxdx

Q: n 36 of 38 Use the Change of Variables Formula to evaluate the definite integral. .3 3 (x + 1)(x² +…

A:

Q: Evaluate the definite integral. 8. 3 10 dx 1

A: We need to evaluate the following integral ∫1810xdx

Q: Find an integral expression equal to: 2 k + 3) +1 lim k=1

A: We know  limn→∞1n∑r=r1r=r2frn=∫abfxdxwhere a=limn→∞r1n and b=limn→∞r2n We have given…

Q: fora 72. 8-* dx

A: Given : ∫8-xdx

Q: Evaluate the indefinite integral: 6 – 4xe" dx + C.

A:

Q: In/cosh(2x)– sinh (2x)): Select one: O 2x None O O

A:

Q: 9. Find the value of 2sinhxcoshx O a. cosh (2x) O b. sinh(x) O c. sinh(2x) O d. sech (2x)

A: Given:        Value of 2sinhxcoshx     we know that                             coshx=ex+e-x2…

Q: sinh(Inx)= Select one: x² –1 2x O None O 2x x² +1 2x O zero

A: We know that sinh(x)=ex-e-x2. So,           sinh(ln(x))=eln(x)-e-ln(x)2…

Q: Which is the derivative of y= sin In(5x +2)? * 5 cos In(5x + 2) In 5 5Cos In (5x+2) 5x+2 O Option 3…

A:

Q: find the complete integral for equation  p2-q+y2-x2=0

A: Answer

Q: Find an integral expression equal to: lim +1 k=1

A: The given expression is, I=limn→∞∑k=1n2nk+33+12n In general, the Reimann sum can be written as,…

Q: Find for the following: dz y = ln O 2x+3 I O I 2x+3 3 21(2x+3) O In(+3) 2x+3

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Q: (8) 18. Evaluate the following indefinite integrals: (a) / (5e* +7z + 1le") dr dr

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Q: Find the indefinite integral. 14x In (3x)dx

A: From the given problem:   I=∫ 14xln3xdx=14·∫ xln3xdx   From the integration by parts:…

Q: - In-2. Hence show that In = 01 tan" x dx = n - 1

A:

Q: 3. Jメニ

A: We can find the antiderivative as below

Q: —3г — 7 What is the value of the definite integral dt? Enter your answer as an exact fraction if…

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Q: Evaluate the indefinite integral 3 8. dx 11z + C

A: