1 dx 1) Evaluate the integral sinh r

Q: Evaluate the interated integral: LS-² x² sin(y) dy dx

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Q: Evaluate the iterated integral. 5 sin(x + 6y) dy dx

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Q: 4 1I Vī+e" dw dv. Evaluate the iterated integral

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Q: 2. Calculate the following integral: dx (a) sinh? x – 4 sinh x cosh x + 9 cosh² x +*) u (1– x²)² x…

A: 2) a)

Q: ind the general indefinite integral. (Use C for the constant of integration.) 6 csc2(t) – 3et) dt

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Q: tan (In 4x) cos (In |(2x)"|)|+C. what is b? The integral of dx is b In A B 2 4 4

A: Given :  ∫tan(ln|4x2|)xdx=bln(|cos(ln|(2x)a|)| +C   To find : Value of b

Q: Evaluate the given integral. 1. sin y dy dx 2y

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Q: 20 Evaluate the integral e dx dy by reversing the order of integration. NOTE: Enter the eract…

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Q: Evaluate the integral. NOTE: Enter the exact answer. dy dx = (xy + 1)²

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Q: Evaluate the integral. NOTE: Enter the exact answer. dy dx (xy + 1)²

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Q: 2 dy dx Evaluate the integral: 1+Vx? +,

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Q: 5. Evaluate triple integral Szr? sin e dz dr d0.

A: We know that,∫sinxdx=-cosx∫xndx=xn+1n+1The given integral…

Q: Evaluate the integral. NOTE: Enter the exact answer. 12 dy dx = lo (xy+ 1)²

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Q: Evaluate the integral. 9 dx V64 - Sx2 sin +C tan sin +C tan +C a eo

A: To evaluate the integral

Q: Evaluate the integral. NOTE: Enter the exact answer. xy dy dx = 0.

A: We have to calculate the integral ∫01∫x2xxy2dy dx

Q: Evaluate the iterated integral.

A: For iterated integrals of the form ∫ab∫cdf(x)g(y)dydx. They can be simplified to ∫abf(x)d∫cdg(x)dx.…

Q: Evaluate the integral. (Use C for the constant of integration.) sin (0) cos (0) de

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Q: Evaluate the iterated integral. 4 9. dx dy

A: We need to evaluate the following integral ∫14∫0612x5ydxdy

Q: Evaluate the iterated integral: 4 9. Vi+ 4y dx dy

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Q: Evaluate the integral. (Use C for the constant of integration.) 2 cos(6) cos (sin(6)) de

A: The power rule of integration states that ∫vndx=vn+1n+1.

Q: Evaluate the integral. NOTE: Enter the exact answer. dy dx (xy + 1)

A: We need to evaluate the integral- ∫04∫01x(xy+1)2dydx Here integral is with respect to both x and y.…

Q: Evaluate the integral: x sin(y) dy dx

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Q: Evaluat the integral:- 푼 is S. sec (cosx) dx dy D Sin y

A: Here, to evaluate: ∫01∫sin-1yπ2sec2(cos x) dx dy So, the region of integration is bounded by the…

Q: Find the integral. (Use C for the constant of integration.) [(++ 3)cos( 2 + 6t) at (t + 3)cos( t2…

A: To find the integral

Q: 5. Evaluate the integral: Jsin?x cos'x dx

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Q: Evaluate the integral. NOTE: Enter the exact answer. 1 xy* dy dx

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Q: x sin x Evaluate the integral dx using residues. (4 + zX)(I + zX)

A: Given ∫0∞xsinxx2+1x2+4dx=imaginary part of ∫cRfzdz Let, fz=zeizz2+2z2+4 Singularities of  fz where…

Q: S y sinh dy a

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Q: Evaluate the given integral. sin y dy dx 4y

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Q: Evaluate the iterated integral given below

A: Given: Let I=∫120∫0π6e2y sin3xdxdy To Find: To evaluate the given integral.

Q: evaluate the iterated integral.

A: Given, ∫-12∫0π2ysinxdx dy Now integrate above with respect to the x we get, ∫-12∫0π2ysinxdx…

Q: y= cos 3x, for 0sxsn a. Which of the following is a simplified form of the integral? 元 OA. -3 cos 3x…

A: Formula Used: length of arc:

Q: the double integral dy dx Evaluate 2.

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Q: Evaluate the iterated integral. x2 sin(y) dy dx

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Q: Evaluate the integral. NOTE: Enter the exact answer. dy dx = (xy + 1)?

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Q: • Evaluat the integral:- 푼 S S. seč (cosx) dx dy Sin y

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Q: E 3y dx dy Evaluate the integral

A: Consider the given integral  ∫01∫-1-y21-y2 3y dxdy

Q: Evaluate the integral. * T/2 sin³x cos y dx

A: Using identity         Sin2x+cos2x=1

Q: Question 12 > x8 dx (29 + 7)? The integral is divergent.

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Q: Evaluate the integral. • T/3 L 3 sin° ( 3x ) dx Зx) dx

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Q: aluate the integral / (8 x + 18y)dx + (24x – y)dy alor y = x² from (0, 0) to (1, 1). TE: Enter the…

A: Topic:- application of integration

Q: e for (2x + 1) cos(x) dx. 14. Use integration by parts to evaluate

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Q: 1. Evaluate the trigonometric integral. (1) [20sin² (2x)cos (2x)dx (ii) S4ta dt

A: Given integral is: I=∫20sin22xcos22xdx To solve this integral we will use the following…

Q: Evaluate the iterated integral. /2 x sin(y) dy dx

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Q: Evaluate the triple integral 5 z sin x dy dx dz 3.

A: Given:

Q: Use the trigonometric substitution r 2 sin 0 to compute the integral -2 VA – r² dx

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Q: Use the Table of Integrals on Reference Pages 6–10 toevaluate the integral. integral e t  (sin a t -…

A: Given integral is ∫etsinαt-3dt

Q: Complete the integration: Ssin (x)cos (x)dx = sin (2x) sin (2x) + C ? %3D 16 32 Determine the yalue…

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Q: dx x3∫?cos(t) dt evaluate the integral

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