x/2 cos(x³/2)dx

Q: In Exercises 29-76, evaluate the indefinite integral.

A:

Q: In Exercises 19-36, evaluate the iterated integral.

A: We have to evaluate the given integral, First integrate with respect to y and then integrate with…

Q: In Exercises 57-60, calculate the integral, assuming that f (x)dx = 1, f(x) dx = 4, f(x)dx = 7

A: It is given that, ∫01fxdx=1,  ∫02fxdx=4  and  ∫14fxdx=7

Q: The suitable substitution to evaluate the integral cos (2x) dx is csc (2x)

A:

Q: Use Part 2 of the Fundamental Theorem of Calculus to evaluate the definite integral. a) S(1 + 3x –…

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

Q: In Exercises 7-24, write the integral in terms of u and du. Then evaluate.

A: We have to evaluate ∫tan-1x2x2+1dx Let substitute u=tan-1x ⇒dudx=ddxtan-1x⇒dudx=11+x2⇒du=11+x2dx…

Q: Obtain a formula that expresses the integral ∫cosn x dx

A:

Q: In Exercises 35-74, evaluate the integral using the methods covered in thetext so far.

A:

Q: Evaluate the integrals in Exercises using integration by parts. 3. f cos t dt 4. * sin x dx

A: The formula for an integral ∫udv is uv-∫vdu. Here u function is selected on basis of ILATE order.…

Q: Exercise 2: Solve the following integrals. (a) / sin" (x) dx (b) / a | cos (x) sin (r) dx .4 3 (c) /…

A:

Q: | cos' x| dx 3

A:

Q: Evaluate the indefinite integral. Sa V1 - a? dæ cos° 0 – cos 0 +C 3 - 5/2 (1-22)이2-3 (1- 22)이2 +C. |…

A:

Q: Evaluate the integral (cos x - x sin x) dx from x = 1 to 2. O 0.72 O 0.48 O -1.37 O -0.53

A:

Q: cos e 3 + 2 sin 0 + sin? 0 29. de

A:

Q: b) Evaluate the integrals using Part 1 of the Fundamental Theorem of Calculus. 2 i) S 4x(1 – x³)dx…

A: (i). ∫-124x1-x2dx The antiderivative of 4x1-x2 or 4x-4x3 is 2x2-x4 Therefore,…

Q: Evaluate the integral f e² In (x²+1)dx

A: ∫e2ln(x2+1)dx

Q: b) Evaluate the integrals using Part 1 of the Fundamental Theorem of Calculus. 2. L, 4x(1 – x²)dx…

A:

Q: Exercise 17. Compute the following integrals 1 (a) -dx 2 sin² x + sin x cos x cos²x (b) -d.x 2 + tan…

A:

Q: Evaluate the following integral using the Fundamental Theorem of Calculus. 97/2 | (cos x- 1) dx -…

A: The solution are next step ...

Q: Evaluate the integral.

A: Given,         ∫coslnxxdx

Q: Compute the integral COS I dx (x + a)2 + B2 where a E R and B> 0.

A:

Q: In Exercises 25-28, evaluate the integral in the form a sin(u(x)) + C foran appropriate choice of…

A:

Q: Evaluate the following integral using the Fundamental Theorem of Calculus. 1/2 | (cos x- 4) dx -1/2…

A:

Q: Evaluate the integral. integral  cos 3x e x dx

A:

Q: Evaluate the integral e'sin e) dx 1- In 2 2 u +3 u + C + C +C cos(e") + C COS -2*+2x + C 21 21

A:

Q: In Exercises 35-74, evaluate the integral using the methods covered in thetext so far.

A:

Q: Evaluate the integral. x² cos(3 x) dx =| + C

A:

Q: Evaluate the integrals in Exercises 2. [w- 2 1. / x(x – 3) dx (x² – 2x + 3) dx 3 dx dx 3. 4. x299 (x…

A: Note:- We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Evaluate the integral. | Te" cos(2x) de = 7e* cos(2x) dx +C

A:

Q: evaluate the Cauchy principal value of the given improper integral. cos 2r dx x² + 1

A: We have to find the Cauchy principal value of the improper integral. First we have to write the…

Q: 1 -) Prove the existence of the improper integral 1 (In x) sin – dx -

A:

Q: Evaluate the integral / 'cos(æ – In x) dx dy.

A: We need to change the order of double integral

Q: Evaluate the definite integrals using the Fundamental Theorem of Calculus. 3 (a) J. (x+2)(x-2) dx…

A:

Q: Evaluate the integrals in Exercises 1–6. (sin¬l x)² dx 1. dx 2. x(x + 1)(x + 2)· . · (x + m) 1 /sin'…

A:

Q: In Exercises 1-6, evaluate the integral using the Integration by Parts formula with the given choice…

A: ∫xe2x dx

Q: In Exercises 29-76, evaluate the indefinite integral.

A:

Q: Use Romberg integration to compute R3,3 for the following integral cos x dx

A:

Q: In Exercises 35-74, evaluate the integral using the methods covered in thetext so far.

A: It is given that, ∫cosln ttdt. We have to evaluate it.

Q: c) csc² 0 d® d) (x- 1)(3x +2) dx e) S" /4 1+cos e de cos? e

A: Here the given integral Now

Q: Evaluate the integral cos (x) sin(x) dx 13 using the substitution u = cos(x). cos(x) sin(x) d.x ,13…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Evaluate Poisson Integral: In(1-2a cos(x) + a²) dx ,a.) [a| 1,

A: To evaluate Poisson's integral: ∫0πln1-2αcos(x)+α2dx  a)α<1 b)α>1

Q: Evaluate the integral.  integral cos  - 4  x  dx

A:

Q: In Exercises 29-76, evaluate the indefinite integral.

A:

Q: In (x le) (2– sec²x)elmtafcsec?x sec(3A – x) - dx to be integrable using the formula 'du? What…

A: