Find the area enclosed by the curves below from x = 0 to x = - y = 45 cos(9x) y = 45 sin(9æ) Area =

Q: /Find the area under the curve y = sin x cos 2x from x=0 to x =-

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

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

A: Given,

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A: Given: The function f(x,y)= sin x cos y

Q: Find the area of the region between the curves y = sin(x), y = sin(2x), x = 0, and x = t/2. Area…

A: Given curve is : y=sinx   .......(1) y=sin2x   ......(2) To find the area of region between curve…

Q: Evaluate using techniques of integration or integration by parts

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Q: Use integration tables to find or evaluate the integral.

A: The question is taken from the calculus in which we have to find the integral of given question We…

Q: sinxcos 2x dx

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Q: Find the area of the region that lies inside both curves

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Q: Set up an integral that represents the length of the curve.Then use your calculator to find the…

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Q: 2 Find the definite integral o tan(x)dx using strips of width for the trapezium rule correct to…

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Q: Evaluate the integral.  integral  cot  3 x  csc 4  x  dx

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Q: Find the area between the given curves: f(x) = sinx g(x) = cosx on the interval (0, π)

A: Sketch the region bounded by the curves fx=sinx  and  gx=cosx   on 0, π as shown below.

Q: Find the definite integral o tan(x)dx using strips of width for the trapezium rule correct to three…

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Q: Make an appropriate substitution and then use integration by parts to evaluate the integral. sin x 6…

A: Given integral is

Q: Find the area enclosed by the curve whose equation is given below: r = 1- 0.6 sin 0

A: Given curve is r=1−0.6sinθ We have to find the area enclosed by the curve r=1−0.6sinθ Area is given…

Q: Find the length of the curve y = arcsin e* fromx = 0 to x = In?. Show complete solution of points of…

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Q: . Split the region between the two curves into two smaller regions, then determine the area by…

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Q: sin(z)

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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 the Trapezoidal Rule with n = 7  to approximate integral 0 to 20  sin (pie x) dx. Compare your…

A: The given function is fx=sinπx n=7

Q: Find the surface area generated by revolving about the y-axis that part of the curve y = In x lying…

A: Solution We have to find the Surface area generated by revolving about the y-axis the part of curve…

Q: By using a graphing device, one can estimate that the points of intersection of the curves r = 3+…

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Q: Sketch the region bounded above by the curve (9e^−x)*sin(πx), the x-axis, and x = 1, and find the…

A: We have to sketch the region bounded by the curve 9e-xsinπx, x-axis, and x=1, and also find the area…

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

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Q: Find the area under y = 2 sin(x) + 2 cos(x) and above the x-axis from x = 0 to x = Tt/2. Leave your…

A: The given function is,

Q: Find the area under the curve y = sin √x /√x between x = π^2/4 and x = π^2

A: Given function

Q: Use the Trapezoidal Rule with n = 7  to approximate integral 0 to 20  cos (pie x) dx. Compare your…

A: To Determine: Use the Trapezoidal Rule with n = 7  to approximate integral ∫020cosπxdx. Compare your…

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

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Q: What is the area under the curve y = cosx over the interval [0 ,π/2]?

A: Integrating the equation of curve in the given interval gives the area

Q: fa 4 – 3 cos x) sin² x dx

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

A: Given:∫03 tan-11x dx

Q: Find the area bounded by y = 0.5(x- 2)² – 1 and the X-axis from x-3 to x-5. Show the sketch with…

A: y= 0.5(x-2)2-10 =0.5(x-2)2-11 = 0.5 (x-2)22 = (x-2)2x - 2 = ± 2x =2+2    x~ 3.414orx =2-2x ~ 0.586

Q: find Sexcos'x dx by using integral by Parts.

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

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Q: Approximate the integral to three decimal places using the indicated rule. 9 cos(x) r0.9 dx;…

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Q: Evaluate the integral (exact value). eSX sin(5x) dx =

A: The given integral is,∫0πe5xsin(5x)dx

Q: The area between y = 2.sinx and y = sin2x for 0<x <T is 1 None 4

A: To find- area

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Q: Evaluate the integral.  integral  cot  5 x  csc 4  x  dx

A: We have to evaluate the integral: ∫cot5 x cosec4 x dx Rewriting the integral, ∫cot5 x cosec4 x…

Q: Set up an integral to find the arclength of the curve y = ln(x) over the interval [1,5]. Use an…

A: To set up the integral for arc length (S), use the formula for arc length:…

Q: O Find area between Curve and x-axís for O Ex<3 for y= x²- 4x43x Find area between 4= Cosx and %3D…

A: Ans (1). Given that, y = x3 - 4x2 + 3x 0 ≤x≤3   and we have to find area between x-axis and given…

Q: sin' (2x) cos (2x)dx =

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

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Q: r = 3 cos 0

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

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Q: The definite integral that calculates the area of the shaded region is given as: yA y 1

A: use the application of integral to solve for the area

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

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

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Q: find the indefinity integral  x^9 dx

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