Use the formula (JE-| / (true value)) * 100 to express |ET| as a percentage of the integral's true value. (Error Estimate in the Trapezoidal Rule)(n=4) 2 (1³ + t) dt

Q: (2x- 1) dx x2 - 15x + 56

A:

Q: Find the area bounded by the parabolas x2+y-9=0 and x2-8y=0   (SOLVE BY USING INTEGRAL CALCULUS)

A:

Q: Evaluate the integral. (Use C for the constant of integration.) | 3z3e? dz

A:

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 36 +…

A:

Q: State the rules for approximating the definite integral∫ab f (x) dxwith the Midpoint Rule, the…

A: These are merely different methods to estimate the definite integral. All of this depends upon the…

Q: Use properties of the integral and the formulas in the summary to calculate the integrals.

A:

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) -2x…

A:

Q: Express the integral in terms of the variable u, but do not evaluate it 7xу 20 — 2? dx; и — 20 — х?…

A:

Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

A: To evaluate the integral ∫1x-7x+12dx

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 16 +…

A:

Q: Use properties of the integral and the formulas in the summary to calculate the integrals.

A:

Q: Evaluate the integral. (Use C for the constant of integration.)

A:

Q: Evaluate the integral. (Use C for the constant of integration.) +² | dx 81-x²

A:

Q: Evaluate the integral. (Use C for the constant of integration.) | (4x4 - 3x-2 + 5x-5 + 2) dx

A:

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: Use integration by parts to evaluate the definite integral. 3t? In tdt

A:

Q: a) Use Trapezoidal and Simpson's Rule to evaluate the integral , (2x – 1)dx by taking n=4

A:

Q: Use Trapezoidal Rule with (n- 4) to find the integral dx x-1

A:

Q: Use integration by parts to evaluate the definite integral. 8t? In(t)dt Give an exact answer

A: ∫1e8t2lntdt=8·∫1et2lntdt=813t3lnt-3·∫t23dt1e=813t3lnt-3·t391e=813t3lnt-t331e=82e39+19=82e3+19

Q: dr Find the percentage error by calculating the integral with the Trapezoidal Formula using n = 4…

A: Given that, the integral is ∫28xx2+1dx. It is known that, the formula for the trapezoidal…

Q: Evaluate the integral. (Use C for the constant of integration.) 9x dx

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 3e3x dx

A:

Q: dx 2

A:

Q: Use trapezoidal rule to estimate the the integral. V + Adx n=6 a) 2.75

A: the given integral is ∫14x2+4dx given n=6 therefore  h=b-an=4-16=36=0.5

Q: .3 da

A:

Q: Approximate the value of the integral by use of the trapezoidal rule, using n= 8. 7 49-x² dx ..... 7…

A:

Q: 5x

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 17xe2x dx (1 + 2x)?

A:

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 49x2 +…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 45x-5 dx

A: Consider the given integral. ∫45x-5dx The objective of the problem is to evaluate the given…

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: Evaluate the integral. (Use C for the constant of integration.) dx 3 - 3x9

A:

Q: Evaluate the integral. (Use C for the constant of integration.) x2 - 64 dx

A: The given integral is ∫x2-64x3dx. Let us assume u=x2-64 and v'=1x3. Differentiate u with respect to…

Q: Evaluate the integral. (Use C for the constant of integration.) 3 + 2x - x2 dx

A:

Q: Use the Table of Integrals toevaluate the integral

A: Given information: ∫12x2-3x2dx

Q: Use integration by parts to evaluate the definite integral. | t² In(t)dt Give an exact answer

A:

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) ( 16 +…

A:

Q: V9x² – 5 - dx . .2 fact to determine the integral 9x?

A:

Q: Evaluate the integral. Use C for the constant of integration. 4dx

A: Given integral is- I=∫4dx9x3 It can be written as- I=49∫1x3dx=49∫1x32dx=49∫x-32dx

Q: Evaluate the integral. (Use C for the constant of integration.) 9 - x xp

A:

Q: Evaluate the integral. (Use C for the constant of integration.) (7 – 17x) dx

A: We can solve the indefinite integration.

Q: Use integration by parts to evaluate the integral: (7r + 1)dr

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 13 dx xV 9x2 - 1

A:

Q: Using integration by parts, the integral f In(16x*) dx is equal to:

A:

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 4 +…

A: Given

Q: 4 dx .2 (х - 6)(x + 2х + 8)

A: Perform Partial fraction Comparing coefficients By solving the equations

Q: Evaluate the integral. (Use C for the constant of integration.) 6x2 + 8x + 3) dx

A: ∫16x3-6x2+8x+3 dx

Q: Use the Trapezoidal rule to approximate the integral from upper limit 1.05 to lower limit 1 e^-2x^2…

A: To find- Use the Trapezoidal rule to approximate the integral ∫11.05e-2x2 dx. Find an upper bound…

Q: Using integration by parts, the integral f In(8x2) dx is equal to:

A: