Integrate this item using (parabolic) Simpson's rule, with interval width of 2.00 units. x tan x + 5 dx cos² x + 1. tan- x

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A: Now put

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A: We have to find

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A: Solve intregal

Q: 10 Use aepropriate substitution Ond then a trigonometric oubtitution to evaleiate the integial. dx…

A: This question can be solved using the concept of integration by substitution.

Q: Evaluate (sin z + cos x) da using by term by term integration 0. Answer:

A:

Q: The definite integral (tan2(x) + sec2(x)]dx when evaluated is equal to AV3+Bx, where A and B are…

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Q: Use the trapezoidal rule with n = 5 to approximate 3 cos(x) -dx Keep at least 2 decimal places…

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Q: Evaluate the integral. 14 sin?(x) cos³(x) dx

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Q: Integrate the following. - sec²x 3. ( sec?x tanx

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Q: Q2: find the integral of trigonometric function cos sint dx

A: To evaluate the integral: I=∫0πcos5x sin4x dx⇒I=∫0πcos4x sin4x  cos x dx⇒I=∫0πcos2x2 sin4x  cos x…

Q: use this to evaluate /x*sin (2x)dx

A: Integrating using by parts...

Q: The integral S³ S S Sse x dx x²+√√x²-1-1 sece tane de sece - 1 cose d 1 - sino sine de 1 + cose…

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Q: Using the trigonometric substitution x = 6 cos 0, 0 < 0 < π, the integral √36-x² x² In cos 0 + C O…

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Q: Evaluate the integral. 17 sin?(x) cos (x) dx

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Q: sin x dx | COS x 4/3

A: Integration of the function helps to find the required value of the given expression.…

Q: After choosing the appropriate trigonometric substitution the integral -dx, becomes

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

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Q: sin x cos“ xdx COS

A: The objective of the question is evaluate the indefinite integral.

Q: SinX d x cosx +2

A:

Q: Use symmetry to evaluate the followingintegrals.

A: Concept: The calculus helps in understanding the changes between values that are related by a…

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A: Given: I=∫xtan4x2dx for evaluating given integral, we substitute  x2=t…

Q: Use Simpson's rule with n = 6 to approximate %3D cos(a) dx 0.08 Keep at least 2 decimal places…

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Q: Ni cos(2?)a. Cos | x dx

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Q: Evaluate the following trigonometric integral: sin2x cosx dx X, X.

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Q: calculate SN given by Simpson’s Rule for the value of N indicated.

A: Given, ∫01cos(x2)dx  and N = 6 Solution: Simpson's rule: Area = ∫abf(x)…

Q: Evaluate the integral. sin 8x cos 9x dx

A: Given that ∫sin8xcos9xdxSolution :…

Q: dx a. Evaluate the integral sin x-cos X

A:

Q: use a geoetry formula to find the exact value of the definite interval (-2x+4) dx on the interval…

A: The given function is (–2x+4) with the interval [0,3].

Q: evaluate using Integration by Parts, substitution, or both if necessary.

A: Given integral is By using the following substitution, we get

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A:

Q: . Estimate the root of the expression, f (x) = x² – cos x, using: d. MOSS using xo = -1 with error…

A: As per the question we have to find the root of the equation : f(x) = x2 - cos(x) = 0 With tolerance…

Q: Find the extrema of the function on the given interval, and say where they occur. sinx+cosx, 0 less…

A: Given f(x)= sinx+cosx ------(1) let's differenitate (1)f'(x) = cosx -sinx

Q: The integral I com S f se fse x dx x² + √√√x²-1. cose de 1-sin sinᎾ dᎾ 1+ cose sec²0 de 1+ tane sece…

A: Substitute x= secθ and solve . dsecθdθ = sec(θ) tan(θ).

Q: Evaluate the indefinite integral.

A:

Q: The integral S (A S- (в x dx x² + √√√x²-1- sino do 1 + cos sec²0 do 1+tano " cose de 1-sino sece…

A: Use trigonometric substitution

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: Evaluate the integral. sin (20x) cos (11x)dx

A: Evaluate:

Q: Evaluate the definite integral. *1/2 5 cos(x) sin(sin(x)) dx

A: Use the substitution u = sin(x) to evaluate the integral.

Q: Evaluate the integral sin3 x + cos? x + 1 dx sin? x (cos² x +1)

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Q: Evaluate the integral sqrt(sin(x))cos^3(x)

A:

Q: Use the trapezoidal rule with n = 4 to approximate cos(x) de Keep at least 2 decimal places accuracy…

A: Given that: ∫14cosxxdx and n=4

Q: Use the trapezoidal rule with n = 8 to approximate cos(x) -dx Keep at least 2 decimal places…

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Q: Find the arc length of f(x) = In(sin(x)) for - 10 8

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Q: After choosing the appropriate trigonometric substitution the integral | x2 - dx, becomes

A:

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

A:

Q: 2x Evaluate sin(3x) dx

A: Consider the given integral. I=∫e2xsin3xdx Now, apply the integration by parts.…

Q: make the given substitutions to evaluate the indefiniteintegrals. ∫x sin (2x2) dx, u = 2x2

A:

Q: (x² sin(x')dx = 3 %3D

A: Given : Integration of X2sin(X3)dx