I+tgX dx; 2 COS X cos

Q: IBP, Trig Integrals, TrigSub x tan? xdx cot x dx sin x x2 dx 3 (4x2+1)7

A: (1).  The given integral is: I=∫x tan2x dx

Q: | cos(In x) dx

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Q: First make a substitution and then use integration by parts to evaluate the integral 6 cos (Vx) dx.

A: Given ∫6cos(x)dx

Q: Evaluate the Integrals. ∫ y cos y sin2 y dy   Show the complete solution. Step by step

A: The given function as the integrand is in the products of the different type functions. The…

Q: Evaluate the integral. cos y dy sin 2y + 2 sin y – 3

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Q: 7. Evaluate the integral using integration by parts. S cos (5x)e 2* dx.

A: Given the integrationI=∫cos(5x)e2xdx

Q: Use (a) the Trapezoidal Rule integral 1to 4    cos  2  x dx                 with n= 8

A: Given Data The integral is . The number of intervals is n=8.   The function of the given integral…

Q: r430 sin x 160 cos2 x(16-sec² x)

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Q: Supply the missing integrand and the limits of integration n/2 2sin e r cos?e dr de = | _de 2sin e…

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Q: Evaluate the integrals ∫cos (1 - ln y)/y dy

A: We have to find the integrals: ∫cos1-lnyydy We will find this integrals by substitution method Let…

Q: Which integral represents the length of the curve y = cos x between 0 and 7? V1+ cos? x dx, TV1+…

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Q: 28. e cos 2x dx ,3x

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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. (Use C for the constant of integration.) 9x cos(8x) dx

A: Integrate this by integration by parts

Q: Find the integral. (Use C for the constant of integration.) sin(-3x)cos(2x) dx

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Q: Evaluate the integral. TC cos(x) sinh(x) dx

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Q: 3x² sin? x dx

A: Follow the procedure given below.

Q: Find the area of the region enclosed between y = 3 sin(x) and y = 3 cos(æ) from æ = 0 to a = 0.87.…

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Q: Evaluate the integral. (Use C for the constant of integration.) sin(8x) cos(5x) dx

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Q: The value of the integral sin() dy dz is

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Q: 2* csch (2*) dx J cosh(2*) – sinh(2*)

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Q: 5. Use trigonometric substitutions to evaluate the integral: I Væ(4 – #)dx.

A:

Q: S sin y cos('/2) dy

A: ∫sinycosy2dy

Q: | 2х cos(2x) dx

A: Given problem:- ∫2x cos(2x) dx  Method:- we use integration by parts to this problem

Q: Evaluate the integral. (Use C for the constant of integration.) tan (x) cos7(x) dx

A:

Q: x13 cos(x')dx

A: Solution: ∫x13cos(x7) dxsubstitute x7→dudx=7x6 →dx=17x6du

Q: 3(sin y– cos y)°dy cos y

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Q: Find the trigonometric integral. (Use C for the constant of integration.) [" (cos(20)) (sin(0) +…

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Q: Ssin (3x)cos (3x) dx 3. Evaluate the trigonometric integral ·

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Q: Evaluate the integral. (Use C for the constant of integration.) sin (x) cos (x) dx 4.

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Q: Give an interval over which you could integrate to find the area of one leaf of the rose r = 2 sin…

A: r=2sin3θ

Q: Evaluate the integral.   ∫0√3 arctan(1/x) dx

A: Given:∫03 tan-11x dx

Q: Find the area inside r = 2(cos 20- sin 2 0) and outside r 1 %3D

A: The area inside r2=2(cos2θ-sin2θ) and outside r=1 is:

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

A: Using identity         Sin2x+cos2x=1

Q: Find the integral S Si, sec2 (cos(x))dxdy sin-y

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Q: Evaluate the iterated integral. π/4 ** ['y cos(x) dy dx

A: Please see the below picture for detailed solution.

Q: Use (a) the Trapezoidal Rule integral 1to 4    sin x dx                 with n= 5

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Q: Evaluate the integral. 3 sin x dx +C |3D

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Q: 3n/4 cot a In(sin r) dx

A: Use integration by parts

Q: Evaluate the integral: 1. Jcsc x (сos? х — 1)dx 2. S(sec2 x + csc² x) cos? x dx 3. S(wew² + w²ew³)…

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Q: Evaluate the integral. (Use C for the constant of integration.) 3 cos x dx 6 + sin x

A: Evaluate the integral.

Q: dt cos°(2 sin" 21)/1– 4r cos(2 sin2t

A:

Q: Which of the following is not an improper integral? 1 dx cos x 2 cos x dx | cos x dx 0. 1 dx cos x 2…

A: Given, The definite integrals We have to find the integral which is not improper.

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

A: Given query is to find the integration of the expression.

Q: 5. cot x cos²x dx In

A: We will evaluate the given integral as shown below

Q: Evaluate the iterated integral. /3 6. y cos(x) dy dx

A: I=∫0π3∫09y cos x dy dx =∫0π3cos(x) ∫09y dy dx  =∫0π3 cos(x) y2209 dx  =∫0π3 cos(x)812 dx

Q: The area under one arch of y=sin(0.5x) is O 0.2 O 0.5 O 0.8 None of them

A: Given: y=sin(0.5x)

Q: Evaluate the integral. (Use C for the constant of integration.) cos(x) (4 + 8 sin²(x)) dx

A: Solve the intregal

Q: 5. Use integration to find the exact area outside r = 4 cos 0 and r = 4 sin 0 but inside r = 2.

A: