20. Apply the Trapezoidal Rule to approximate the value of the definite integral, Vx sin (x) dx , using 4 sub-intervals. Round your answer to 6 decimal places and compare the result with the exact value of the definite integral.

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

A: Use the Change of Variables Formula to evaluate the definite integral.

Q: 19) Use the trapezoidal lule and Simesons rule to apecox.mate the vale of the definite integral for…

A:

Q: (b) Find a value for n to ensure that the absolute error in approximating the integral xsin x dx by…

A:

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: Find the exact value of the integral. (No decimal approximations accepted) 1/2 x cos(x³) dx

A: Given problem is :

Q: Q2 - Evaluate the following integrals i. S cosx sin*x dx sinh³x -dx cosh®x

A: As per our guidelines we are only supposed to solve first question in case of multiple questions We…

Q: Use Simpson's rule with interval h = 1 to determine the approximate value of 6 V(1 + x³)dx. Give…

A:

Q: How large should we take in order to guarantee that the Trapezoidaland Midpoint Rule approximations…

A: Given

Q: Evaluate the integral: |x cosh x² dx sinh x +C 2 x sinh x? +C sinh x? +C x² sinh 2x +C

A:

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

A:

Q: Find the indefinite integral using the substitution x = 3 sin(0). (Use C for the constant of…

A:

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

A: The given integral is ∫sinxcos5xdx. We know that, ∫xndx=xn+1n+1+c           c=Integration constant.

Q: ∫tan^3(x)⋅e^(tan(x))⋅sec^2(x)dx

A:

Q: (a) Use the Midpoint Rule with n = 6 to approximate integral S³ dx 8 x-6 6 x+8

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: Evaluate the integral. 11 sinh (Vx) dx 4 9 11 sinh (Vx) dx = x/ 4 (Type an exact answer.)

A: To evaluate the integral,  ∫4911sinhx xdx By using the u-substitution method,  Let u=x,…

Q: Use Simpson's rule with interval h = 1 to determine the approximate value of f V(1+ x3)dx. Give…

A: Given integral is ∫021+x3dx and h=1. We have to approximate the given integral by using Simpson's…

Q: Find the following integral. Note that you can check your answer by differentiation.

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) (4 cos x + 7 sin x) dx

A: Given the integrationI=∫(4cosx+7sinx)dx

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

A: According to the trapezoidal rule of integration, we divide the whole area into small-small…

Q: . To solve this problem, you should use the function on the same line as your ω value. ω = 0 ⇒ f(x)…

A: Given,

Q: Set up an integral to find the length of the curve defined by y = 4x2 – 3 from x = 3 to x = 9, then…

A:

Q: Use Simpson's Rule with n = 4 to estimate the following definite integral: I+32 dz I+2

A:

Q: Find the indefinite integral using the substitution x = 4 sin(0). (Use C for the constant of…

A:

Q: (6). Find the exact value of the definite integral by geometry. 2x +5 dx 1

A:

Q: Find the indefinite integral. (Use C for the constant of integration. sin 4x sin 3x dx sin x sin 7x…

A: Solution is given in step 2

Q: Use the Trapezoidal Rule to approximate the integral of e^(3/x) dx from 2 to 3 with n=4 . Round the…

A:

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: You want to use the trapezoid rule to approximate - x + 15 dx. How large must n be so that the…

A:

Q: 10 x2 +9 dx 5

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) .5 cos dt sin t

A:

Q: Please calculate the following definite integral and express your final result using parameter a e"…

A: We have, I=∫01exsinaxdx On using the integration by parts, we get the result as I=∫exsinax…

Q: Evaluate the integral. (Use C for the constant of integration.) sin (x) cos (x) dx 4.

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) (4 cos x + 5 sin x) dx

A:

Q: (ii) Estimate the integral I 1.4 sinx-log.x+e*dx 02 by using trapezoidal rule with h=0.2 correct to…

A: We can solve using trapezoidal rule

Q: Find the indefinite integral using the substitution x = 3 sin(0). (Use C for the constant of…

A:

Q: Using the trapezoidal rule with n = 5, approximate the integral L' TO S³ give the error of…

A: Trapezoidal rule formula: ∫abf(x) dx=h2(y0+yn)+2(y1+y2+...+yn-1) Given ∫03dx16+x2 Here f(x)=116+x2…

Q: J sin (x)-2 cos(X)) dx

A:

Q: Use Simpson's rule with interval h = 1 to determine the approximate value of V(1 + x³ )dx. Give…

A:

Q: 5. Evaluate the integral. (Use C for the constant of integration.) sin³ (y)cos (y)dy

A:

Q: Use the trapezoidal rule and Simpson's rule to approximate the value of the definite integral. (Give…

A: The given integral is,

Q: Calculate the integral approximations To and M6 for 10 x³ dx. Your answers must be accurate to 8…

A: ∫ab f(x) dx≈Tn=∆x2fx0+2fx1+2f(x2)+...+2f(xn-1)+f(xn) ∫ab f(x) dx ≈Mn=∆xfx¯1+fx¯2+...+f(x¯n) ; where…

Q: 1. Approximate the value of each of the following definite integrals using: i. Trapezoidal Rule ii.…

A: 1. Given integral is∫12xlnx dxn=4The value of the given definite integral is approximated using the…

Q: Ise the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for…

A: Given: ∫242x2dx and we have to use the Trapezoidal rule to approximate the value of the definite…

Q: Find the value of the definite integral 1 1 dx. (1+ v7)4 Show Your work

A: Our Aim is to find the value of the definite integral:-I=∫011(1+x)4dx  -(i)

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

A:

Q: 2 S sin (ax)cos(ax)dx

A:

Q: 3. Find an integral for the exact length of the curve: x = t + cost, y =t - sint, 0st<3n You do not…

A:

Q: 2) (2 points) if you know that f(x)dx =15 and S(x)dx = 8, find [ 3/(x)de using properties of the…

A: Suppose that a point c belongs to the interval [a,b]. Then the definite integral of a function f(x)…

Q: Find the indefinite integral. (Use C for the constant of integration.) 15 COS x sin x dx

A:

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