11 dx Evaluate the integral: , (5æ+6)² 11 55

Q: 3tan a sec? x dx (4+3tan=)* 2

A:

Q: Write the integral in terms of u and du. Then evaluate:  ∫ (x − 7)3 dx, u = x − 7

A: ∫x-73 dx Put, u=x-7⇒dudx=1-0⇒du=dx Therefore, ∫x-73 dx=∫u3 du

Q: Use the indicated substitution to evaluate the integral.

A:

Q: | (44 + 313 dx = Evaluate the integral using an appropriate substitution. NOTE: Enter the exact…

A: Let I = ∫ x3dx/(4x4+3)3 ---(1)

Q: Q5. Sketch, evaluate, and reverse the integral: [[* dy dx/

A: 5. Given integral is ∫02∫1ex dy dx   To sketch, evaluate and reverse the integral.

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

A: Solve the following

Q: b.) 3 dx 5/3

A: We will use substitution method.

Q: use the indicated substitution to evaluate the integral.

A:

Q: Express the integral in terms of the variable u, but do not evaluate it. eS-4 dz; u = 5z – 4 NOTE:…

A: ∫01 e5x-4dx  here change the variable x to u u = 5x -4 du/dx = 5 dx =du/5 limit is change from  if…

Q: Evaluate the integral. -1 6 sinx dx = 2 +C NOTE: Enter the exact answer in expanded form.

A: Given that: ∫6sin-1xdx

Q: Using an appropriate substitution, 8tan-1x the integral J dx equals: 1+x2

A:

Q: Evaluate the integral. 1 -dx J-3 (x + 6)(x² + 9) Answer:

A: Ans = 0.07456 First do the partial fraction so that it can be integrate simply as I have done in…

Q: Evaluate the integral х3 dx x2 +49 х3 dх x2 +49 (Use C as the arbitrary constant.)

A: We substitute x^2+49=t, then the given integral become

Q: a) Evaluate the integrals using appropriate substitutions. dx Sino i)S i) f de Cos? 8+1 1+16x2

A: as per our guidelines I am solving only first question with both parts a(i) ∫dx1+16x2ii ∫sinθcos2θdθ

Q: T 11x + 29 dx The integral is equal to

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Q: Express the integral in terms of the variable u, but do not evaluate it. dx; и — 5х — 4 NOTE: Enter…

A:

Q: Write the integral in terms of u and du. Then evaluate: ∫ (x + 25)−2 dx, u = x + 25

A: In some cases integrals can be transformed as a standard integral using appropriate substitution.…

Q: Solve for a in the triple integral. (Enter your answers as a comma-separated list. f3-a-y2 ↑4-x-y dz…

A: ∫01∫03-a-y2∫a4-x-y2dzdxdy = 14/15 here we have to find value of a  so integrate this and after  put…

Q: T 15 dx The integral is equal to

A:

Q: 2 Væ? – 1 -dx. x² 1

A: Here , we will solve the integral using substitution form .

Q: Evaluate the indefinite integral. 1x - 3 dx J (læ2 – 6x + 4)3 Answer = +C

A:

Q: b. In each part, evaluate the integral, given that (2x, f (x) = x 1 12, i. Lf(x)dx. ii. i f(x)dx.

A: Since f is an piecewise function therefore we need to divide integral limits in parts and pieces to…

Q: et dx 9 + e" Evaluate the integral using the substitution u = 9+ e". et dx 9 + e* +C

A:

Q: Evaluate the integral. S (sec r- sin r) dx

A: Please go through the attached solution. I hope that this solution will help you. Thankyou . Best…

Q: dx 4. Evaluate the integral by trigonometric substitution: , Væ²-9

A: We can find the integral using trigonometric substitution as below

Q: Use the substitution u =. = 4x + 2x to evaluate the indefinite integral below. (8x+2) + 2x dx Write…

A: Evaluate the integral by substitution method

Q: Evaluate the integral dz given that 4g5 671 671 z= 4t and y = (5+t). A) 810000 B) - 202500 671 D)…

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Q: Evaluate the integral * T/4 cosh (tan 0) sec² 0 d0 7/4 TT

A: In this question we have to find the integration.

Q: calculate the integral in terms of the inverse hyperbolic functions.

A:

Q: Evaluate the integral. 't/2 5 cot2(x) dx IT/6

A: Given,

Q: Use the indicated substitution to evaluate the integral.

A: we have to use the substitution x=3secθ to evaluate the integral ∫dxxx2-9

Q: Evaluate the integral. a dx 2 a > 0 (a² + x²)3/2' V2 92

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Q: Evaluate the integral. r1/v2 2 dx J1/2

A: Use formula of integration

Q: Use the indicated substitution to evaluate the integral. 1 dx, x = 15 sec(0) xVx² – 225

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Q: Evaluate the integral r ((tz) e sinz dz. where C:12| =l, by amy two Methads and results. 23 compare

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Q: Evaluate the integral using an appropriate method. J = 3 22+5+6 dx

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

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Q: Evaluate the f 2 3 8xy dxdy=? e following integral by usin tes -8 dA = ?

A: We have to find the value of the given integration according to the given information

Q: | 2°+Idal Vx² +1 dxl

A: The given integral is- ∫x3x2+1dx Let x2+1=u Differentiate w.r.t. x to both sides- 2x=dudxdu2=xdx…

Q: Express the integral in terms of the variable u, but do not evaluate it. 3x-2 dx; u = 0, NOTE: Enter…

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Q: Calculate the integral, assuming that 6 f(x) dx = 2 and 6 g(x) dx = 15. (Give your answer as a whole…

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Q: Evaluate the integral. dx + C

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Q: Use the substitution formula to evaluate the integral. T/20 (1.clan 5x) sec2 5x dx Select one: O A -…

A: Substitute the trigonometric function in some other variables.

Q: Find the value of P which the integral convesg'es,absolubely Conditionally Sin Vz) dx .P

A:

Q: T² – 36 dz Evaluate the integral:

A: Given,          ∫4x2-36x4dx

Q: Q3. Evaluate the following Integrals Stan* 0 sece de I. 2-16 хр- Vx II.

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Q: Express the integral in terms of the variable u, but do not evaluate it. 14.x-13 dx; u = 14x 13 -…

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Q: Evaluate the integrals

A: We have to evaluate the definite integral: ∫-ππ1-cos2 t32dt We know the trigonometric identity, cos2…

Q: Vx? – 1 dx 4

A: