f(x) = sin 2x g(x) = cos x find the area using HORIZONTAL STRIPS.

Q: Use the tabular method to find the indefinite integral.

A: Given :         Consider the given integration                           I = ∫ x+22 sin x dx

Q: Use Gaussian Integration (4-point form) to approximate | x?sin(x)dx

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Q: Use integration by parts to evaluate the integral. f2x si sin(x) dx + C

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Q: Find the area between the curves y = 4 cos(6x),    y = 4 sin(12x),    x = 0,    x = π/12

A: Given,

Q: Evaluate the integral. (Use C for the constant of integration.) 6 tan(x) sec³(x) dx

A: We have to find

Q: Evaluate using techniques of integration or integration by parts

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Q: sinxcos 2x dx

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Q: 23 dx V25 – x2

A: We integrate the function using trigonometry substitution.

Q: Use an appropriate substitution and then a trigonometric substitution to evaluate the integral.…

A: By applying  trigonometric substitution

Q: Use integration by parts to find the indefinite integral ∫x arcsin 2x dx

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Q: - $x² cos(x³) dx

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Q: . Find the area of region between two functions fix)=sinx, g(x)-cos2x,-끌sxs을 %3D

A: The area between two curves A=∫abf(x)-gxdx sinx=cos2xsinx=1-2sin2x2sin2x+sinx-1=0sinx=-1±1+84=-1,…

Q: Use the tabular method to find the indefinite integral. ∫(x + 2)2 sin x dx

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Q: The area between y= 2sinx and y = sin2x for 0<x ST is

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Q: Use trigonometric techniques of integration to evaluate | tan12x sec"x dx' %3D tan15x tan13x + C II

A: To evaluate the given integral use the substitution u = tan x  and the following formula.

Q: evaluate the Integral X sin (x) coscx) dx COS

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Q: Integrate cot(r) In(sin(x))dx.

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Q: Use integration by parts to evaluate 2x cos (x) dx

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Q: 3. Using left and right endpoints give two area approximations for f(x) = sin(x) using four…

A: Lets calculate this on interval x = 0 to x = π  divide this interval in four rectangles,  so,  h =…

Q: Find the trigonometric integral ∫ tan2 x /sec3 x   dx

A: We have to integrate ∫tan2xsec3xdx We will put tanx=sinxcosx and secx=1cosx Given integral can be…

Q: Use integration by parts to evaluate the integral sin(10x)/e^2x dx

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Q: x = -sin 2y x = cos y --

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Q: Find the area enclosed by the curves below from x = 0 to x = 3 y = 33 cos(3x) y = 33 sin(3x) Area =

A: Given:- y=33 sin(3x) , y=33 cos(3x)  To find:- Area enclosed by curves from x=0 to x=π/3

Q: Use Integration by Substitution to find sin(x²) 2x dx

A: As per our guidelines we are supposed to answer only 1 question. Please repost other questions as…

Q: Use integration by parts to evaluate the integral. 3æ sin(z)dx

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Q: (10) [x sinx dx

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Q: Use integration by parts to find the integral. xeax dx (a # 0)

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Q: Find the area bounded by y = sin²(x) and y = sin5(x) from 0 < x<

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Q: Use integration by parts to find the indefinite integral ∫arctan 2x dx

A: Consider as I=∫tan-12x dx Now let u=tan-12x, v=1 Use the property of integration which states, ∫uv…

Q: Find the trigonometric integral. (Use C for the constant of integration.) sin(x) cos os°(x) dx

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Q: Use integration by parts to evaluate the integral: sin(x)dx

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Q: Use integration by parts to find, x cos2x dx

A: Answer :

Q: Evaluate 0, dx by dividing the interval into 10 equal parts 8х-5 by using Simpson's one - third…

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Q: Use integration tables to find or evaluate the integral ∫ 1 / sin   x cos   x dx

A: We have to evaluate the integral: ∫1sin x cos xdx We know the identity: sin2x+cos2x=1 Substituting…

Q: The approximation of I tanx dx using composite Simpson's rule with n=5 is:

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Q: Evaluate the integral. (Use C for the constant of integration.) 8 tan(x) sec³(x) dx

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Q: Use double integrals to find the area inside the curve  r = 3 + sin(θ).

A: Find the area enclosed by the curve r = 3+sin θ , using double integration method.

Q: 25 dx Evaluate by dividing the interval into 8 equal parts 1 x2 +6x+ 10 by using Trapezoidal rule.

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Q: Find the area enclosed by the curve r = 2 sin(0) + 3 sin(90).

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Q: First make a substitution and then use integration by parts to evaluate the integral. dx

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Q: f sin-¹(x) dx

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Q: Use integration by parts to evaluate the integral. sin(In(5x))dx

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Q: Use trigonometric substitution to solve the integral Jx*V1+x² dx

A: Note the results :     (Identity)

Q: Find the trigonometric integral ∫sec4(x/2 ) dx

A: To evaluate the trigonometric integral , ∫sec4x2dx Solution: Put x2=t in the given integral we get,…

Q: Use trigonometric techniques of integration to evaluate tan12x sec x dx tan15x tan13x + C

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Q: Find the trigonometric integral. (Use C for the constant of integration.) tan (x) dx sec (x) c^(x)

A: To Evaluate: ∫tan3xsec4xdx

Q: The area between y = 2.sinx and y= sin2x for 0<x< T is None

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Q: What change of variable would you use for the integral sec-x -dx? 3 tanx

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Q: Find area of circle whose eq is (x-3)^2 - (y-3)^2=4 using integration

A: Note: The correct equation of circle will be x-32+y-32=4.  The radius of the circle is 2 and center…

Q: Approximate the area under the curve f(x)=sin2(πx) using the midpoint approximation rule with 3…

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