Be sure to show all definite integrals. The graph provided shows the velocity of a particle moving on the x-axis. The particle starts at X=-5 when t=0. A) Where is the particle at the end of the trip (t=6)? B) What is the total distance traveled by the particle?

Q: Find the Indefinite integral. (Use C for the constant of integration.) V tan(5x) sec?(5x) dx

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Q: Suppose thnat the tangent line to the graph or J is equal to the tangent line to e graph of g(r) =…

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Q: The graph of f(x) = −sin x has infinitely many tangent lines that pass through the origin. Use…

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Q: Find the indefinite integral.

A: We have to solve the indefinite integral: ∫tan x3 sec2 x dx Solving the integral by substitution…

Q: Find the general indefinite integral, then differentiate to confirm your answer |(10x – 2 sec?x) dr

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Q: Find the indefinite integral. (Use C for the constant of integration.) sec 20 tan 20 xp

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

A: TO evaluate: I = ∫θ4+sec2θdθ We know that ∫xndx = xn+1n+1+C and ∫sec2θdθ = tanθ

Q: 56 sec(7X) tanCIX)dx

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

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Q: Use all your background to find the integral of the hyperbolic function: 00 sinh ax cosh bx

A: Given: The given integral ∫0∞xnsinhaxcoshbxdx

Q: Find the indefinite integral by making a change of variables. (Use C for the constant of…

A: Solve integral by change in variables

Q: A particle is projected vertically upward from a point 112ft above the ground with an initial…

A: In the projectile motion a particle is thrown upward with some initial velocity and its come down…

Q: Find the indefinite integral. (Use C for the constant of integration.) tan( 2 dx sec 20 20

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Q: Give me an example of Properties of Definite Integral.

A: We have to give an example of definite integral using property

Q: Use the definition of the definite integral (page 378) to find the exact value of the definite…

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

A: Trapezoid rule

Q: Evaluate the indefinite integral: ∫ sec θ tan θ(sec θ − 1) dθ

A: Given: ∫secθ tanθ (secθ-1) dθ

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: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

A: Let 5-2x2=u -4xdx=du

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

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Q: calculate the indefinite integral.

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Q: dx 24 - x2

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Q: By using the definition of the definite integral, evaluate 27 1- sin2 x a) dx (use the left…

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Q: Evaluate the indefinite integral. tan (x) sec2(x) dx = +C.

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Q: Use the trapezoidal rule with n = 2 to approximate the value of sin(x²)dx. Round your answer to four…

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Q: Evaluate the definite integral using the Newton-Cotes quadrature formula (Simpson's Rule)

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Q: sin4 50 de

A: Integrate

Q: Find the surface area of revolution of 7 cos(5θ ) between - π/10 and  π/10, about the x-axis using…

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

A: Hints: ∫xndx=xn+1n+1+c            ∫cosxdx=sinx+c

Q: (7 + 2x)dx

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Q: Find the indefinite integral. (Use C for the constant of integra -8 + 12 dx ャ

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Q: Approximate the definite integral using the Trapezoidal Rule n/4 tan x dx Trapezoidal

A: Since you have not mentioned the value of n and which rule to apply clearly. We will apply first…

Q: tan' (x) sec (x) dæ

A: We have to evaluate the indefinite integral.

Q: 2e*dx |-2

A: To find- Value of the given definite integral.

Q: Find all points on the graph of the function f(x) = 2 sin(x) + sin2(x) at which the tangent line is…

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Q: Find the solutions of the equaiton that are int he interval [0, 2pi) 2 - 2sint = 2squareroot3 cost

A: Given 2-2sint=23cost Take square on both sides…

Q: Determine the following indefinite integral.

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Q: Sketch the graph of y = 2x on the interval [0, 3]. Write a definite integral that corresponds to it,…

A: (1) we have to sketch graph of y=2x on the interval 0,3 (2) write a definite integral (3) Evaluate…

Q: Use Newton’s method to approximate the indicatedroot of the equation correct to six decimal places.…

A: Given the equation is x4 - 2 x3 + 5 x2 – 6 = 0 and the roots of this equation lie in the interval…

Q: Evaluate the definite integral on the interval [0,3] x / sqrt{49+5x} dx

A: Solve intregal

Q: A square plate of  side 4 ft is submerged vertically in a tank of water and its center is 4ft below…

A: Here we will use the concept of physics to find the variation of pressure with depth and then make…

Q: May you find the definite integral?

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Q: Find the indefinite integral. (Use C for the constant of integration.) 1 dx 64 4 -

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

Q: The graphs of y = srqt(x) and y = 3 - x2 intersect at one point x = r. Use Newton’s method to…

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Q: Find all points on the graph of the function f(x) = 2 sin(x) + sin2(x) at which the tangent line is…

A: Tangent line

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

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Q: State the rules for approximating the definite integral

A: To State: Rules for approximating definite integral.   Definite Integral: An Integral with upper and…

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

A: Differentiating with respect to x, we get Now the length of the curve is,

Q: Evaluate the indefinite integral (anti-derivative) | (9+r*)* dz by using the substitution u =9+x.…

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Q: Use reduction formulas to evaluate the integrals ∫ sin5 2x dx

A: Given: The given integral is I=∫sin52xdx. State the reduction formula. ∫sinnxdx=-cosx…