2 Evaluate: J. sov?sy cosx³dy dx

Q: Q2) Evaluate SInr Ins Int dt dr ds

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Q: Evaluate the following double integral: Da y dx O option 1 O 300. O 141 5 O 156.8 O 201 O None of…

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Q: Use the substitution formula to evaluate the integral. 3edx 1+ e O A. 7 Oc. - OD. - OB.

A: To find : ∫0ln333e3x1+e6xdx

Q: Use symmetry to evaluate the following integral. 2 ja (2- |x|) dx - 2

A:

Q: Evaluate the following Integral: b. Sx³Vx? +1+ 9R) dx

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Q: the area outside r = 1 and inside r = 2 cos 0 is 91.433 O 90.433 Other O 90.343 O

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Q: Q4 Evaluate the fo ng In10 1- 4sinh? () dx 4 2 cosh(tane)sec20d0 - 4. 0rions in term of

A: (1) To evaluate: ∫0ln 104sinh2x2dx Let I= ∫0ln 104sinh2x2dx We know that 2sinh2x = cosh2x-1

Q: use the definition prove that s d sinZ %3D Tal

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Q: use the indicated substitution to evaluate the integral.

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Q: Evaluate the improper integral: 9. dx a) Odiverges b) О 18 c) 09 d) 03 8.

A: Given integral :

Q: 4-2y -2 dx dzdy

A:

Q: Evaluate the improper integral: dx x In(x) а) 012 b) 02 c) Odiverges d) 01 e) 06

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Q: Evaluate the improper integral. 6 dx V36 - x? O A. 12 O B. 1 12 О с. O C. O D. 1 KIN

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Q: Evaluate the integral. 3 5ex + 7cos(x) dx

A: Given,          ∫035ex+7cosxdx

Q: In (rle) sec³x (2– sec²x)«ma/2)sec³x What should be the value of A for dx to be integrable using the…

A: we have to find the value of A.

Q: (c.) Evaluate the integral [xV2x +1 dx ?

A:

Q: Tt 7) Evaluate the following integral : x ) dx (cosx + CoS X

A: Given integral

Q: dy Evaluate the integral| 2. y - 14y + 65

A: We first complete the square in the denominator and apply the formula:

Q: Evaluate the following iterated integral. 2 16 15y dx dy 2.

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Q: The Integral f fyr² dyda can be written as: Select one: ọ Sổ Sing dady O None of the others Of fyr²…

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Q: Evaluate e sn® 3x cos*3x dx 9 512 O 157 512 О Зя 512 512

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Q: 4 ∞ dy dx J I+ 4? 2. 00

A: To find the integration

Q: Evaluate the following triple integral. zsec² (y) dz dx dy.

A: Triple integration

Q: fco | cos 5xsin 5xdx

A: SOLUTION-

Q: 5 dx 8x (x+1)? 1

A: First evaluate indefinate integral

Q: Complete the table by Identifylng u and du for the Integral. u = g(x) xp (x),6 = np | (tan(x)…

A: The given integral is ∫tanx9secx2dx.

Q: Evaluate the integral frever se 2. 2. SS 24 S sinxy ds dx

A: According to the given information it is required to evaluate the given integral:

Q: Evaluate the integral. 'Tt/2 7 cot (x) dx T/4

A:

Q: Evaluate the following integral fx cot"x dx Select one: 2 2 x² 2 x2 * cot"'x +2/1+x? +c O None

A: ∫x cot-1x dx using integration by parts  ∫uv dx=u∫v dx-∫dudx∫v dxdx Let, I=∫x cot-1x dx I=cot-1x∫x…

Q: IT 4 cos xsin xdx

A:

Q: the integral: (u +3) du 1²5 -dx (3) √74³ cscxcotxdx

A: We have to find out integral

Q: Evaluate the following iterated integral. 4 2 x cos y dy dx

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Q: , evaluate the given double integral. I sinxcos(y – n)dxdy 10.

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Q: +∞o fthe 0 The improper integral edx is

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Q: Evaluate the integral 7/4 cos(2x + y) dxdy. T/4

A: Solution: As per our guidelines, we are supposed to answer only one question ( if there are multiple…

Q: Evaluate the integral cosx dx from í/3 to π/2 * 0.134 0.500 0.293 0.707

A:

Q: J= * By using trapezoidal rule, n=2, The integral π/2 0 sin (x) dx 0.9482 O 0.9480 O 0.9481 O 0.9444…

A: The given problem is to find the approximate value of the given definite integral using the…

Q: Which of the following is an improper integrai? In3e re ,COSX dr dr 4x2-x- 2 'In(x+ 1) dr dx 2x + 8…

A: Solution is given below:

Q: Identify the appropriate substitution for the following integral: Sesin z cos adx

A: Assume u=sinx then du=cosxdx. Substitute sinx=u and cosxdx=du in the given integral.…

Q: Use symmetry to evaluate the followingintegrals.

A: Given: ∫-22x9 dx

Q: dy is then da In a If y = cosh r

A:

Q: make the given substitutions to evaluate the indefiniteintegrals. ∫ 2(2x + 4)5 dx, u = 2x + 4

A: To evaluate integral: ∫22x+42dx. Let substitute u=2x+4 Differentiating with respect to x,…

Q: Q1. Evaluate the following Integral 1+3sin3x dx cos²x

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Q: Evaluate the double integral : Answer: (3 z? +4 y") dr dy =

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Q: Evaluate the iterated double integral 2 b.) √ √ ² sinπTy ³ dydx

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Q: Evaluate the double integral : I|| (2x + 2y – 4) dy dæ O 144 O 180 252 O 288

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Q: Use residues to evaluate the integral 2T 1 de. %3D 5+3 cos 0

A: To evaluate : ∫02π15+3 cos θdθConsider unit circle |z|=1i.e. z=eiθ⇒dθ=dzizAlso, we use cos θ=z2+12z,…