Evaluate the given integral. sin y dy dx 4y

Q: Simplify the following expression d/dx of the integral from 0 to x2 sin(t3)dt

A:

Q: Use the table of integrals at the back of the text to evaluate the integrals ∫sin t/3 sin t/6 dt

A:

Q: Evaluate the following integrals i. SxIn(x+1)dx sin (Inx)cos (Inx), 2 ii.

A:

Q: n/2 L, Sy sin x)dx dy

A: Consider the provided integral, ∫-12∫0π2ysinxdxdy Evaluate the iterated integral.…

Q: Evaluate the given integral. ∫ 5e-2x dx.

A:

Q: b. I = S(1+ sin x)5 cos x dx

A:

Q: e2x sin(e)dx cos (ezx)+3

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: I = S(1+ sin x)³ cos x dx

A:

Q: V. S, sin* () cos5 (-) dx

A:

Q: Consider the following integrals 00 4 sin? x i. dx x² + 6 e9t dt ii. e9t – 1 Mark the correct one…

A: Given: i.∫1∞4 sin2xx2+6dx ii.∫01e9t dte9t-1

Q: Evaluate the integral. 7 sin?(t) cos (t) dt

A: Evaluate the integral as follows.

Q: Determine the following integrals (a). cos xsin.xdx (b) [- dx 17-5x+6 (c) fxe*dx

A:

Q: 2 X COS x dx ах

A: To integrate: ∫0π2x cos (x) dx

Q: Evaluate the following integral sin y dyde.

A: According to guidelines i solve first question only so kindly request you to repost the remaining…

Q: Evalute the following integrals. (1) /; COs x -dx. 1+ sin? x 2

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Evaluate the following integrals TC 2x a) -e + sin dx V3x 0. 3. cot(-2x) csc?(-2x) dx b) 7.

A: (a) I=∫0π53x-e+sin-2x3dx =∫0π53x dx-e∫0πdx+∫0πsin-2x3 dx  ∵∫(u+v) dx=∫u dx+∫v dx…

Q: Consider the following integrals • * 5 sin? æ i. - dæ x² + 6 e3t dt ii. . est – 1

A:

Q: Evaluate the following integrals S, sin () cos" () dx ) dx

A:

Q: A. Evaluate the following integrals: 1. sin 'xcos x dx

A: Given: I=∫sin7xcosxdx   ....(1)   We know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: Evaluate the following integrals S, 5v – 3) (e-y*2 sinhy) dy а. b. 8(x + 1) In(sinx2*) cosx dx

A: We have to define the given Delta function and find the points in which it is non zero in the given…

Q: 2 x cOs x dx.

A:

Q: Find the values of the following Integrals: ii) S sinx tan'ccord dx ü) Sex uci+ e* ) dze in) St…

A:

Q: S sec?t tan?t dt

A:

Q: Evaluate the given integrals. 1. ſ cos v2x dx 2. fx a*dx

A: Please see the answer below.

Q: The integral of the function cos² x. sin a dx is

A: the given expression is: ∫cos2x.sinxdx

Q: To evaluate the integral dx, we substitute x = 2 sec 0. VAx-4 Select one: a. True b. None of these…

A:

Q: b) S x² Sin(x") dx 3

A: Given, ∫x3sinx4dx  We have to determine this integral .

Q: Evaluate the iterated integral xy dæ dy. Answer:

A: The given integral is: ∫04∫y4yxydxdy  To find the value of the given integral.

Q: dr Evaluate the integral / dx. sin x cos x

A:

Q: Evaluate the following integral

A: Given  integral

Q: 1. Evaluate the following integral: Sx? sin x dx

A:

Q: I. Evaluate each of the following iterated integrals. T/2 siny 1. dxdy

A:

Q: S xe2x*sin(e**)dx

A:

Q: Apply the method of substitution to integrate the following integrals: dx I = ; a. Va²-x² b. I = [(1…

A:

Q: ad the indicated integral (if it exists) E dz +1

A:

Q: Evaluate the following integral xe -dx J 1+2ex?

A: The given integral is I=∫xex21+2ex2dx Solving the integral using substitution.

Q: Evaluate the given integral. *2x 2ye-X dy dx Jo

A:

Q: Find and simplify the following integrals: S dx 11) (x-2)² 12) ſ cos(2x)e sin (2x) dx

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Evaluate the following integral. 1/2 I sinx sin y dz dx dy 0 0 0

A: Given integral   ∫0π2∫0π∫0sinxsinydzdxdy

Q: Evaluate the integral , xy dx dy 0.

A: Here we will integrate function w.r.t. x first then w.r.t. y

Q: solve the following integrals:- dx |1-x² (1) J (2) Sx sinždx (3fdr (++x^)x^

A:

Q: Evaluate the following integral. * R/2 sinx sin y dz dx dy 0 0 0

A: Given Integral is  ∫0π∫0π2∫0sinxsinydzdxdy

Q: Evaluate the following integral as written. 2 2 10 sin (2x - 5y)dx dy o y

A:

Q: Evaluate the integral. sin?(t) cos“(t) dt

A: Given integral is ∫0π5sin2(t)cos4(t)dt=58∫0π4sin2(t)cos2(t)2cos2(t)dt We know that…

Q: sec{s)ds

A: We know, ∫abf(x) dx = ∫abf(a+b-x) dx

Q: Evaluate the improper integral or show that it diverges: 00 (a) xe dx 7/2 (b) tan x dx

A: a) ∫0∞xe-xdxb) ∫0π2tanx dx

Q: Evaluate the integrals

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