Using trapezoidal, and 3/8 simpson's rule ⌠14 (xe0.5x - 0.5x)dx

Q: 5. S sec(3x) tan(3x) dx

A: formula:∫ secx tanx dx =sec x +Cwe are given;I=∫ sec(3x) tan(3x) dx3x =t3 dx =dtdx =dt3

Q: .3 1 -dx using the midpoint rule with three subdivisions to four decimal In(x) Approximate places.…

A:

Q: Estimate the minimum number of subintervals to approximate the value of 1 dx with an error of…

A: Given that the integral is ∫0513x+5dx with error less than 10-4. a)It is required to estimate the…

Q: 2 Integrate the expression below using Trapezoidal Rule with interval width of 3.00 units. (sinhx…

A: Given : ∫-45sinh(x)x+1-ln(x+5)exsinh-1(x)+2 dx To find : Integrate the given expression using…

Q: integral x2 / sqrt(16-x2) dx using trig substitution

A: We have to solve the integral x^2/sqrt (16-x^2) dx by trigonometric substitution . Please see the…

Q: cosh (x – 3) dx 2 '8 – cosh² (x – 3) х In x dx

A:

Q: dx x Vx²+2x-1

A: In calculus, an antiderivative, inverse derivative, primitive function, primitive integral or…

Q: 5. fx3 cos x? dx

A:

Q: cosh z sinh dz (cosh z+3) 2.

A: To evaluate the given integral.

Q: Using modified trapezoidal and 1/3 simpson's rule Use n=3 ⌠14 (xe0.5x - 0.5x)dx

A: Trapezoidal rule: Trapezoidal rule can be used to find the area below the curves by dividing the…

Q: Estimate the minimum number of subintervals to approximate the value of | (3x2 + 4) dx with an error…

A: Estimate error

Q: Evaluate integration 1/(x^2-9)^(3/2) dx using trigonometry substitution

A: Consider the given integral as ∫1x2-932dx. We use the trigonometric substitution x=3sect to evaluate…

Q: 24. By Simpson's rule, evaluate Vi – 1/x dx with fiye ordinates

A:

Q: 3 Estimate dx using right endpoints for n = 3 approximating rectangles. 3 dx is approximately

A: Integration

Q: 18. y = 3 sin(x²), y = e/2 + e 2x

A: Consider the provided question, We need to use a graph to find approximate x-coordinates of the…

Q: dx x² Vx²-1 -2.

A:

Q: Using Integrating factors found by inspection (2y-3x)dx + xdy = 0

A:

Q: lim sin(x)dx (x² + e²)²

A:

Q: sinx Apply Simpson's rule to estimate ſ, n: dx with n = 8.

A: Simpson's rule ∫abf(x)dx=∆x3f(x0)+4f(x1)+2f(x2)+4f(x3)....f(xn)∆x=b-an Given integral  ∫12sinxxdx…

Q: arctan(x) dx = x arctan(x) - 2 In(1+ x?) + c

A:

Q: Topic: Integral of Hyperbolic Function ∫(sinh(x) + cosh (x))^2

A: Given- ∫sinhx+coshx2dx To find- The value of the integral. Identity Used- The above integral can be…

Q: SIMPSON'S USE N=6 ACTIVITY # 8 : esinx dx SOLVE USING TRAPEZOIDAL AND SIMPSON'S RULE

A:

Q: Using Trapezoidal method proper rounding off).64 √√x dx for n=4 is equal to Blank 1 (use 2 decimal…

A:

Q: Using integration by parts, evaluate x³ In 5x dx

A: Solution

Q: 2 Estimate the minimum number of subintervals to approximate the value of I7x +4 dx with an error of…

A: We have to find minimum no. of Subintervals by given asking method.

Q: 2 Integrating factors found by inspection.: fr-y+1tr-af²-y²-1ky =0

A:

Q: (x² cosh(sin(x– y)): - »)= (x² cosh(sin(x – ))= v+coshz ôvôz

A: As per the guidelines I could solve only part 8. But as part 9 and 10 are short to answer, We will…

Q: Second derivatives Find d2y/dx2. sin x + x2y = 10

A: We have   sinx+x2y=10x2y=10-sinxy=10-sinxx2

Q: Definition used- Integration by part - x* sinx dx

A: "Since you have asked multiple questions, we will solve the first question for you.  If you want…

Q: Using integration by parts, | - | x sin(x²) dx x* cos(x²) dx = k – Then k is?

A:

Q: Jse Integration by parts to evaluate the follow- Seax cosbx dx

A: Apply the integration by parts twice and simplify the result.

Q: (a) Using integration by parts, find fx sin(2x - 1) dx. (b) Use substitution method to find x² 2x-1…

A:

Q: rpression in r, for x > 0 /9 - x2 5. CSC arctan PACE

A: Let theta = arctan(sqrt(9-x^2)/x)Form there find tan theta

Q: y = Arctan (sinh x)

A: dydx=ddx(arctan(sinh x))

Q: evaluate using the appropriate method or combination of methods.

A:

Q: Integration by Trigonometric subshtuhon 10] 5x²Arcsin (x)dx

A:

Q: Estimate - dx using left endpoints for n = 3 approximating rectangles. х 2 dx is approximately

A: We have to find the Riemann sum for ∫232xdx with n=3 rectangles, using left endpoints.

Q: Intergral x e^x dx

A: To find the integral (xexdx)

Q: Using trapezoidal rule, Simpson's rule, Simpson's three-eights rule, mid- point rule to approximate…

A: Here, f(x)=ex, a=1.1 and b=1.5 are given. Consider n=4, i.e. dividing the interval in 4…

Q: 2. Integrate the expression below using Trapezoidal Rule with interval width of 3.00 units. (sinh x…

A: In the question we have to solve the given integral by Trapezoidal rule with interval width of 3…

Q: sin(nx)dx |sin(nx)dx (xcos(nx)dx

A:

Q: Using Monte Carlo, estimate the value of eTy dx dy.

A:

Q: Using Integration By Parts, x3 x2 +4 dx = uv- - Sv du

A:

Q: Using Integration By Parts, x3 / x² + 4 dx = u v - v- Svau-

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Q: (b) Using the defintion only (or A-process) find for y = 2x2 - 4x + 5. dx

A:

Q: 4. Use Midpoint Rule, Trapezoid Rule, and Simpson's Rule with n =. 4 to estimate f V1+ cos a dx.

A: Given integral :

Q: SOLUTION USING BY GAMMA FUNCTION Evaluate x/2 e dx.

A:

Q: g(x) = |sin x| ,[-n,n

A:

Q: 2. v = e-sinx

A: Given

Q: ) Using Trapezoidal, Simpson and to find value of 7 v1+ sin xdx with 13 point function, compare your…

A: The given integral is, ∫0π21+sinxdx Since, given 13 point function, it means there are 12 intervals…

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.