Evaluate the integral. | (1+5e tane) sec?e de sec 0 de 4 | (1+5e (1+5 e tan e sec 0 de = (Type an exact answer.) 4

Q: Evaluate the integral. cos(z) dz sin? (z)

A:

Q: Evaluate the integral using the given substitution. Jx cos (6x?) dx, u=6x? x2 O A. sin (6x?) +C 2 1…

A: As per our guidelines we need to solve only one question.please repost the remaining questions as…

Q: Which one of the integrals below represents the area of the region that lies inside the curve r = 3…

A:

Q: Evaluate the iterated integral. T/2 12 (10 cos(8) r dr de

A:

Q: Evaluate the integral: e2*sin(3x)dx. a. None of the other answers are correct O b. -2 e 3…

A:

Q: Which of the following statements about integrals is true? sec(x) dx = tan(x) + C A tan(x) dx = In…

A: In this question, we need to find the correct statements.

Q: 16. Determine the following integrals: (a)Scos 8.xdx. S sin" x.cos.xdx (b)? sec² xdx (c) (d)Se*dx

A:

Q: sint Use the appropriate substitution to evaluate the following integrals: - dt (2+ cos t)4 -3 A + C…

A: The objective of the question is evaluate the indefinite integral by using substitution .

Q: π 7. fz sin¹x cos¹ x dx

A: To evaluate the following integral by using Walli's formula.∫0π2 sin4 x cos4 x dx

Q: Evaluate the integral: a. ∫10(te + et) dt

A: Since you have asked multiple questions in a single request, as per policy, only first question is…

Q: 1. Use the Fundamental theorem of Calculus 1 to evaluate the integrals. Please give exact answers.…

A:

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 5 sec?…

A:

Q: 4. Find the area of the region that is in the interior of the two cardioids, 'i =1+sin(0) and r,…

A:

Q: [(2- sec?r) sec(3A – x) e In (a le) sec³x -dx to be integrable using the formula ? и"du What should…

A:

Q: у2- 25 The result of the integral in 0 given -dy is 5 tan0 – 50 +C , y (A) True B) False

A: To prove the given statement is true Or false.

Q: |a" cos(2°) da = +C. %3D Hint: First make a substitution and then use integration by parts to…

A: Consider the given integral ∫x11cosx6dx. Let u=x6. That implies, du=x6dxdu=6x5dxdx=du6x5 Then, the…

Q: Evaluate the improper integral or state that it is divergent. 36 dx (1 + x2) tan - 'x O A. 36 In 1+…

A:

Q: x? dx - 2 3. Vx? – 2

A: We have to put substitution method

Q: 1. Evaluate the iterated integral. (a) */2 sin 8 IT 00 */2 asine (b) ² dr de 0 rcos 0 dr de 0

A: A.

Q: 2. Find an upper bound of the absolute value of the integral e +1 (a) / -dz, where C is the right…

A: Question 2a) Let f(z) = ez2z2 + 1⇒ ez = eRe(z)≤e3  on z = 3⇒ 2z2 + 1 ≥ 2z2 - 1 = 2×32 - 1 = 17∴ 12z2…

Q: 2. Compute the following integrals. tan"(2) sec"(r) dr. (b) sin*(x) tan(x) dx.

A: (a) given that a integration of tan3(x) *sec6(x) Here we compute this integration. We know that tanx…

Q: The result of the integral in 0 given 25 dy is 5 tane - 50 +C, y A True False

A:

Q: ( a ..    )Find the approximations   T 8  and    M 8    for the integral integral 0 to 1 cos (x 2…

A: Given, ∫01cos2x dx

Q: The value of the improper integral 6 x? e-z dx O 2e-1 6e-1 6e-1 - 2e-1 -

A: We have to solve given problem:

Q: S(2- sec?r) elnale sec'x sec( 3A – x) What should be the value of A for - dx to be integrable using…

A: The given question has been solved in detail and option C is the correct answer.

Q: TU 5.fo cos³ 30 de

A:

Q: L? + 1)? dx evaluate the Cauchy principal value of the given improper integral. x? (x² + dx 1)?

A:

Q: dx ex√4-e²x the integrand is transformed into? (a) cos² 0 (c) sin² 0 (b) sec²0 (d) csc²0 When the…

A:

Q: Evaluate the integral using the given substitution. 5- sin cos dt, u= 5- sin- cos 1 O A. 5- sin 3 t…

A:

Q: 3(sin y– cos y)°dy cos y

A:

Q: Transform the integral fo So? sin o sin 0 do do by the substitution r = sin o cos 0, y = sin o sin 0…

A: Given ∫0π2∫0π2sinϕsinθdϕdθand x=sinϕcosθ, y=sinϕsinθ

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: The value of the improper integral |6 a e" da = 6 x e dx = 1 O 6e-1 бе 2e-1 – 6e 6e-1 - - 2e-1 -

A:

Q: Evaluate the integral. 3a/4 (a) csc 0 cot 0 de (b) (cos x + | cos x|) dx

A: Integration Question

Q: S- S- °S- S For x 1/2 x- U U 1-u4 4u dx and using the substitution -du -du -du 4u √4-(24²) 2 -du…

A:

Q: Which one is an improper integral? O 6 sin(x-5) x-5 S₁º O none O 6 sin(x-5) x-3 O S 6 sin(x-5) x-7…

A: Improper integral:- An improper integral is a definite integral that has either or both limits…

Q: 9 Let the integral be 'solvable' using trigonometric substitution. What is the correct choice of u…

A: We have to solve

Q: 15. Evaluate the integral: sinz' dx А. 2л сos л? + с С. 1+ С В. xsinл* + С D. 0+C

A:

Q: - sin(y) dy: cos(y) + 7 Consider the integral- This can be transformed into a basic integral by…

A:

Q: Which of the following statements about integrals is true? | csc(x). cot(x) + C A) dx | sec(x) dæ =…

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. | cos (5t)…

A:

Q: Evaluate the iterated integral. T/2 14 cos(@) r dr de

A:

Q: Which of the following statements about integrals is true? A tan(x) dx = ln |sec (x)| + C sec(x) dx…

A:

Q: A/2 15 10 r=7+7 cos 0 -5 5 5 10 15 - 10 15

A: The graph of the curve is given by To evaluate: The area of the shaded region.

Q: TU 2. fz sin² x cos4 x dx J

A:

Q: Which of the following statements about integrals is true? | csc(x) dx = cot(x)+C A cot(x) dx = ln…

A:

Q: Evaluate the integral from 0 to pi/2 6 sin5(t) cos(t) i + 3 sin(t) cos2(t) j + 8 sin(t) cos(t) k

A: Given:  ∫0π26sin5tcosti+3sintcos2tj+8sintcostkdt To determine: The value of given integral.

Q: a) [ „J: Evaluate the integral (4x + 1) In x dx b) ' . Evaluate the integral fou 6 tan' x sec* x dx…

A: a) Given:       ∫4x+1ln x dx Integrate by parts: ∫fg'=fg-∫f'g where f=ln x , g'=4x+1           f'=1x…

Q: Evaluate the integral using the given substitution. sin- dx Select one: A.-1 +1 sin2 + C x 2 3 B.-1…

A: Given information:-

Q: The resulting integral of form --F(0) +C. de has the What should be the value of e to make F(@)=0?

A: