3 (х3 — Зх2 + 4х — 5) dx | a) Approximate the definite integral with the Trapezoid Rule and n = 4. b) Approximate the definite integral with Simpson's Rule and n = 4. c) Find the exact value of the integral.

Q: 18tan"x Sec-x dx (िकपन इ)"

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Q: A spring has a natural length of 15 inches. A force of 10 Ibs. is required to keep it stretched 5…

A: for F = 10 , x = 5

Q: 2. Using both trapezoidal and Simpson rule, find the approximate values for the integral S7 n = 20…

A: we nee to find ∫π4π2ln(tanx)dx,  n=20 a=π4=0.7854,  b=π2=1.5708 ,  y=ln(tanx)…

Q: Solve the integral by trigonometric substitution: (z+3)* dz. (40 – 6z – 22) - -

A: Given: To solve the given integral by trigonometric solution: ∫(z+3)540-6z-z232dz

Q: Find the indefinite integral. (Use C for the constant of integration.) tan2 dx secº x

A: The objective is to evaluate∫tan2xsec5xdx. The formula for integration is ∫xndx=xn+1n+1+c

Q: Evaluate the integral ſ sin x dx by the method of geometry.

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

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Q: i) Approximate the integral ," x² sin x dx by Trapezoidal rule with n = 4. ii) Find the minimum n…

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

Q: a. Find the derivative of ln (4q^7 – 10) dq. b. Using the result of the derivative above and the…

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Q: Find the general indefinite integral. (Use C for the constant of integration.) 4 - 4u* – u? + 5

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Q: 5. A cylindrical tank is full of water. If the radius and height, respectively, of the tank are 1m…

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

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Q: 3. Solve the integral by two grid in the y-direction and four grid in the x-direction with…

A: Solve the integral by two grids in the y axis and four grids in the x axis with Trapezoidal rule:…

Q: Evaluate the integral. (Use C for the constant of integration.) (3× – 5*) dx -

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Q: e2X dx V1+e2x

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Q: (1 – x²) dæ Using appropriate trigonometric substitution then changing the limit of integration, the…

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Q: 2 By using Trapezoidal rule, the value of "h" in evaluating - 2x + 6)dx , by taking 10 subintervals…

A: Solved below

Q: Evaluate the integral. (Use C for the constant of integration.) 3 tan (2x) sec (2x) dx

A: Given that: ∫3tan3(2x)sec5(2x)dx

Q: Evaluate the integral. (Use C for the constant of integration.) | 2 tan (x) sec®(x) dx C must be in…

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Q: Find the general indefinite integral. (Use C for the constant of integration.) 4u5 - u3 du

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Q: Evaluate the integral 8 dx x² V25 – x2 Note: Use an upper-case "C" for the constant of integration.

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Q: Find the general indefinite integral. (Use C for the constant of integration.) 7x2 ) dx

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Q: Find the general indefinite integral. (Use C for the constant of integration.) sec t (8 sect + 9 tan…

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Q: Find the general indefinite integral. (Use C for the constant of integration.) [(7x² + 8 + 2²1) dx +

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Q: Evaluate the integral. (Use C for the constant of integration.) 1- 36x2 dx

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Q: 4, by 2- Approximate each of the integrals in the following problems with n (i) The trapezoidal rule…

A: Trapezoidal rule: The area under the curve y = f(x) over the integral [a, b], when it divided into n…

Q: Problém 2: For each part, (i) write a definite integral that computes the arc length of the curve…

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Q: 2. Integrate the following function (a) analytically 3. I- fxe2* dx and numerically using n = 4 (b)…

A: First determine the integral using integration formula's. Then use the formula of Trapezoidal and…

Q: Q2M) A tank has the shape of an inverted right pyramid with a square base, as shown in the picture.…

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Q: 20/x² – 49 -dx - Evaluate the integral: (A) Which trig substitution is correct for this integral?

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Q: Evaluate the integral ( Use C for the constant integration) ∫ 11 tan4(x) sec6(x) dx

A: I=∫11tan4x×sec6x dx=11∫tan4x×sec4x×sec2x dx=11∫tan4x×1+tan2x2×sec2x dx                      ⋯⋯(1)

Q: Q/Use Simpson rule’ 1/3 Method with (n = 8) to estimate the integral: f(x) = е^(sin 9x), where a = 0…

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Q: dx is: value of the integral sinx the Using Simpson's rule 113,

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Q: Evaluate the integral. (Use C for the constant of integration.) 2 tan3(x) sec(x) dx

A: Let sec(x)=t sec(x)tan(x)dx=dt tan2(x)=sec2(x)-1 Substituting we get 2 int (t2-1)dt =2 (t3-t)+C…

Q: (b) 3 – cos(x) 2

A: Follow the procedure given below.

Q: 2. Use the error formula to estimate the error in approximating the integral T/2 2 sin x dx using…

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Q: Use Simpson's rule (n = 4-this means that there are 2 rectangles for the trapezoid rule and 2…

A: To evaluate ∫-11x2-1 dx with n=4 using Simpsons Rule

Q: Determine h and N to approximate the integral e- dt within an accuracy of G = 10-5 using the (i)…

A: ii)  Equation is f(x)=exp(-x2).The value of the table for x and y x 0 0.25 0.5 0.75 1 y 1…

Q: 3. Use properties of definite integrals and appropriate formulas from geometry to evaluate 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: (n) /* dx sin? 4

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Q: Evaluate the integration dx sin(x)" with h=0.5 by using 3/8 Simpson Rule. Write your answer in 4…

A: The formula for the Simpson's rule is . Here, the represents the value of the function at the…

Q: Evaluate the integral. (Use C for the constant of integration.) dx 49 - x2

A: We have to find the integral

Q: 2.8 2 – 0.7 sin(x²) dx 0.3

A: Use Trapezoidal and Simpson's (1/3)rd rule to find integrals.

Q: Use the Trapezoidal Rule withn=4 steps to estimate the integral. 3 16) dx Use Simpson's Rule with n…

A: 1.  According to the Trapezoid rule,…

Q: 3.a) Apply the Trapezoid and corrected trapezoid rule, with h =, to approximate the integral…

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Q: Find a bound on the error in approximating the definite integral us dx; n = 10 (a) the Trapezoidal…

A: Here we have, I=∫144xdx; n=10 ⇒f(x)=4x ⇒a=1, b=4, n=10

Q: 24) Find the integration by applying (by part method) Sin ¹y dy

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Q: 1) Find the indefinite integral f sec4 x dx using integral 77 from the reference pages in Stewart,…

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Q: (5) Solve the the definite integral (In(2))* dz indicating which integration techniques you are…

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