12 Which expression represents the trapezoidal approximation T3 to the integral sin (V7) dx?

Q: Q: 1. Find the value of the following integral: sin vi dx using Simpson's rule when n = 8.

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Q: F. Solve the following by Substitution Method. 1. y(x tanx + In y)dx + tanx dy = 0

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Q: Find the area under the curve y=sin2x from x=0 to x=3pi/4 A. 2 B. 1/2 C. pi D. 3/2…

A: The curve y=sin2x from x=0 to x=3π4

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

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Q: O: Find the integration for the fol dx 1-) sin(x)

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: (b) Use residues to evaluate the following definite integral: de 6+5 sin 0

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Q: Q4 Find the integrals of the functions. (Answer Five only ) 3- )tan t sec?t dt dx 4- S: xV5x2-4

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Q: Evaluate the definite integral. T/4 sin(t) dt cos?(t)

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Q: y=sin

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Q: Use Euler's modified formula to find an approximate value of y whenx = 0.3, given that = x+y and…

A: Given  dy/dx = x+y and y(0)=1 To determine y(0.3) using Euler's modified formula

Q: 2. Evaluate the Trigonometric integral. C (a). S sin(2x) cosxdx. rT/2 (b). S cot?xcsc*xdx. T/4

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Q: dx When evaluating the definite integral / Te why must you 16 – x2" choose the antiderivative–coth…

A: Given:              ∫68dx16-x2 why must you choose the antiderivative 14coth-1x4 rather than…

Q: 4 dx 1+ By using (Answer one only) a- Trapezoidal rule when n=5 b- Simpson's rule when n=6

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Q: Complete the integration: sin3(2x) + C ? sin (2x) Ssin"(wcos (x)dx 16 32 Determine the value of "?".

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Q: +00 1 1 : dx x[In(mx)]3 m+3 8

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Q: find formulas for the functions represented by the integrals.

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Q: valuate the integral. Jse symbolic notation and fractions where needed. Use C for the arbitrary…

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Q: Sx = 45う0x-Sin Arsuars aT 11T 137 0,3 ST7 3, TT 3す 1. 77

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Q: 7. L {f(t)} where f(t) = t sin 2t sin 5t %3D

A: Use the trigonometric identity sin Asin B=12cosA-B-cosA+B to simplify the given function.

Q: c fx) = at (4, 2) 3x – 4 d y=x In x at (0, 1) sin3x at y =- x? 4 e T 2

A: Part(c): Given function is, fx=x33x-4 at 4,2 To find the gradient of a function (which is a vector),…

Q: Q1/: Evaluate the Trigonometric integral m/4 V(1+ tan?x)3 dx -a/4

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Q: Q9 The definite integral 4 2T(T – x) (cosx – sinx )dx 0. represents

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Q: Use substitution to evaluate the indefinite integral | cos³t sint dt. [Hide Solution] cosʻt + C 4

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Q: 4. Find . d?y of the functions x = 1+ cost and y = 1– sin t. dx2

A: Differentiating given parametric equationswith respect to t,x=1+costdxdt=-sint…

Q: 4 sec t to evaluate the integral J 2-16 dx Use the substitution x = Note: Use C for an arbitrary…

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Q: use the Change of Variables Formula to evaluate the definite integral.

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Q: -T/2 Q4: Evaluate e sinx dx by using trapezoidal rule so that er < 0.025.

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Q: Q4: (etan 3x) (sin-12*) (2*) vsinh x+4 A) Find for the following functions: y = dx

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Q: (a) Use n = 6 subdivisions to approximate the value of 6 Vx + 3 dx by the trapezoidal rule.

A: We need to find approximate value by trapezoidal rule. NOTE - AS PER OURGUIDELINES WE CAN NOT SOLVE…

Q: 97. State whether the approximation MN or TN is larger or smaller than the integral. sin x dx 2л sin…

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Q: H.W: Given that approximate 1 dx=2 use Trapezoidal rule with n=8 to 9 x² +1 4 the value of ß?

A: Trapezoidal rule

Q: By using a trigonometric substitution x = 3sece ,where 0 s0 < 27 "he integral 3 Vx² - 9 dx can be…

A: We have to choose the correct answer from the given option according to the given condition

Q: Approximate 4 1 dx 1+ x Using the Trapezoidal rule and Simpson's rule with h=1. Find an error in…

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Q: Q2: Evaluate: * Jx* sin(1- x)dx?

A: use substitution method to solve the integral

Q: Evaluate the definite integral. * T/2 9 cos(x) sin(sin(x)) dx

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Q: 1 dx using the trapezoid rule with n=4 1+x d. Use your answers for parts a and b to estimate

A: Given the integration ∫0211+x3dx

Q: '/2 Q4/ Find the Definite Integral cot 0 csc 0 de

A: Given: I=∫π4π2cotθcsc2θdθ...1 Use the substitution method to calculate the integral value.…

Q: (b) Evaluate the given trigonometric integral sin r dx (x² + 1)(x² + 9)

A: The given integral is ∫-∞∞sinx(x2+1)(x2+9)dx. It is of the form ∫-∞∞f(x)g(x)sin(nx)dx. To solve this…

Q: L s²-a? .2. .A cosh (- (at .B (cosh (at .C (sinh (at II

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Q: /(2- sec?r) eln)gsec'x (2– What should be the value of A for -dx to be integrable using the formula…

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Q: By the even extension method applied to the function f(x)= e-16z, where a > 0, the value of the…

A: The given function is, f(x)=e-16x,x&gt;0

Q: To evaluate the integral | x sin(x2) dx we use the substitution O a. x= t O b. sinx =t O c. sin x2…

A: Explanation of the solution is given below....

Q: S. The resulting integral of sin cos-sino d0 has the form | 2 2 -F(0) + C. What should be the value…

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Q: (a) Use n = 6 subdivisions to approximate the value of Vx + 3 dx by the trapezoidal rule.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: O Find the approximations T10, M10, and S10 for 10 sin(x) dx. (Round your answers to six decimal…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: What is the value of the integral f sin(6z) arctan(sin 3r)dr? a) 3(7 – 2) b) c) d) 6(* - 2) e) - 3

A: Let  I=∫0π6sin(6x)·tan-1sin3x dx =∫0π6(2sin3x·cos3x)tan-1sin3x dx   ∵sin2x=2sinx cosx Assume,…

Q: Evaluate the integral (Trigonometric Substitution) 4 x*dx (x² + 1)²

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Q: Q.35 The integral sin ede is given by

A: 35 Given integral is ∫0πsin3θdθ Since, sin3θ can be written as sin3θ=sin2θ⋅sin3θ Hence,…