Use Simpson rule’ 1/3 Method with (n = 8) to estimate the integral: f(x) = 5x*((13x - x²)³)½ , where a= 0.5 & b= 3.5: Give answer with (3) decimals places. *

Q: Determine whether the improper integral diverges or converges. Evaluate the integral if it…

A: ∫0510xdx

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

A: Answer

Q: indefinite

A:

Q: Evaluate the indefinite integrals using Tabular Integration by parts. i) S (x² + x+1)Sinxdx ii)…

A: Let fx=x2+x+1 and gx=sinx. Tabulate the functions f(x), g(x), the derivatives of f(x) until it reach…

Q: Find the indefinite integral. (Use C for the constant of integration.) 8 cosh(x) dx

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x(2x + 5)8dx

A: Explained below

Q: Use any method to evaluate the integrals ∫ 2x - 2-x/2x + 2-x dx

A:

Q: Determine whether the improper integral diverges or converges. Evaluate the integral if it…

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x(4x + 7)8dx

A:

Q: dz 12. S z2+6z+10

A: The objective is to evaluate the indefinite integral.

Q: Use Simpson rule’ 1/3 Method with (n = 6) to estimate the integral f(x) = x / ((9*x^3)-3), where a=…

A: Fghhhj

Q: Compute the integral [*ln(x + x³)dx accurately to three decimal places. You may use any legitimate…

A: To find the value of the definite integral we will use numerical integration method Simpson 3/8…

Q: The 2000 census in a particular area gives us an age distribution that is approximately given (in…

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration. x(8x + 7)8dx

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x(6x + 7)8dx

A: Given:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x(2x + 7)8dx

A:

Q: Use any method to evaluate the integrals ∫ ln x + 2/x (ln x + 1)(ln x + 3) dx

A: To evaluate the integral ∫lnx+2xlnx+1lnx+3dx, first use the sum rule and separate the integral as…

Q: Determine whether the improper integral diverges or converges. Evaluate the integral if it…

A: The given integral is ∫05125-x2dx. Check the convergence as follows.

Q: Find the indefinite integral in two different ways, (a) use a graphing utility to graph the…

A: The indefinite integral, ∫sec2x tanx dx.

Q: Use integration by parts, together with other trig integral techniques to evaluate  integral of…

A: Given function is: I=∫lnx2-x+2dx Integrating it by parts: Take: u=lnx2-x+2, dv=dxdu=1x2-x+22x-1, v=x…

Q: Find the indefinite integral. (Use C for the constant of integration.) 6 cosh(x) dx

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dx +7 tanx

A: we find out integration of given function.

Q: indefinite integral of (7 + ex) dx

A: Consider the given indefinite integral:

Q: Find the approximate integral of 4 1 * -dx In x 2 when n=10 using a) the Trapezoidal Rule, b) the…

A:

Q: Evaluate the indefinite integral. (Use Cc for the constant of integration.) |

A:

Q: An integral of the form f(a)da was computed by two students using trapezoidal rule with end point…

A: Given That : An integral of the form ∫01f(x)dx by two student using trapezoidal rule with the end…

Q: Pls kindly help evaluating integrals by first differentiating Theorem Intergal(0,infinite)…

A: I am going to evaluate the given problem using the first differentiating theorem which also the…

Q: Evaluate the integral ∫−10(x−9)(x+5)(x−2)dx∫−10(x−9)(x+5)(x−2)dx   Note: Use an upper-case "C" for…

A: Integral is done by doing partial fraction first

Q: Sketch theregion of integration for the double integral given by fJ dydx and change its or der of…

A: Given integral: ∫1e∫lnx1dydx Given region: x=1, x=ey=lnx, y=1 So graph of given region is,

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

A:

Q: Evalu at e the in deffinite integral. 2

A:

Q: 1. ntegral dx with 6 (x-4)2

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Q: Approximate the integral using the indicated rule. 36 0 x2 dx; midpoint rule; n = 6

A: We have to find approximate value of integral.

Q: evaluate the indefinite integral 3+ -dt. Use C for the constant of integration.

A: Given : ∫3 + 1t61t2dt

Q: Determine the indefinite integral. sinh x dx J cosh x+6 sinh x dx = cosh x +6

A: Substitute the denominator with other variable and solve like normal integration. Here Sinhx &…

Q: The indefinite integral is often called the O antiderivative. constant of integration. derivative. O…

A: Please check step 2 for the solution.!

Q: Match the integral expression on the left to an equal expression on the right. Ssin(3x)sin(4x)dx -…

A: Let's find.

Q: Use the general power rule for integration to find the indefinite integral. a)∫10x/(√5x2+13) dx…

A: a) The general power rule of integration is of the form ∫fxnf'xdx=fxn+1n+1+c   Let fx=5x2+13. So…

Q: Why can the constant of integration be omitted from the antiderivativewhen evaluating a definite…

A: We omit the constant of integration when evaluating a definite integral, because we subtract the…

Q: An integral of the form f(x)dr was computed by two students using trapezoidal rule with end point…

A: The general Romberg Integration formula is, Ij,k≅4k-1Ij,k-1 - Ij-1,k-14k-1-1 where, j: is the level…

Q: Find the indefinite integral. (Use C for the constant of integration.) 2 cosh(x) dx

A: Evaluate the integral∫2coshxxdx

Q: the indefinite Integral In(cosh x + ex)- A In(cosh x +ex) Sinh x + e* cosh x + ex (В sinh xtex sinh…

A:

Q: In the indefinite Integral in(cosh x + e*)- integrand? A sinh x + ex B In(cosh x + e*) In(cosh x +…

A: What is the integrand

Q: Approximate the integral using the indicated rule. 36   0x2 dx; midpoint rule; n =

A: To evaluate:∫036x2 dxUsing midpoint rule using n=6

Q: sds 3. V3s² +1

A: Given: ∫sds3s2+1 Let u=3s2+1, duds=6s Then ds=16sdu

Q: Determine whether the improper integral diverges or converges. Evaluate the integral if it…

A: Integration:       ∫3∞ 1xx2-9dxLet us keep the substitution,…

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

A: Given ∫7coshxxdx

Q: when integrating an indefinite integral, your antiderivative must include a "+C" to represent the…

A:

Q: The main reason for numerical integration is to approximate definite integrals that can be found…

A:

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.