6.3.28. Evaluate the integral. using U substitution integrate (x^2)sqrt(x^2-1)dx

Q: Evaluate the integral 2x dx x – 6 ILO fer th

A: SOLUTION-

Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x)dx.

A: Given integral is ∫03 x3+xdx Number of sub-intervals = 6 Take f(x) = x3+x Step size  ∆x  = 3-06…

Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x) dx.

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Q: Use a change of variables or the table to evaluate the following indefinite integral. 3x* dx 15- 12x…

A: Let,

Q: Evaluate the integrals ∫tanh 2x dx

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Q: Evaluate the integral. integral    (  x 2 -x +6  )/ (x 3 + 3x) dx

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

A: This is a basic integration problem

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

A: As per Bartleby's answering policy, we can answer only one question, so kindly post the remaining…

Q: Evaluate the integral x dx. -4 3 |x| dx =] -4

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Q: se the midpoint rule with n = 6 to estimate the value of the integral (x³ + x)dx.

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Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x3 +x)dx

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Q: 18) Use two compositions of composite Simpson's method to estimate the integral Inx dx

A: The Simpson's rule can be used to calculate the integral approximation. The formula used in…

Q: 2. Using both trapezoidal and Simpson rule, find the approximate values for the integral In(tan…

A: We need to find the approximate values of ∫π4π2ln(tan(x))dx using trapezoidal and Simpson rule given…

Q: 3. SET UP the definite integral that will give the area of the shaded region using a. y as variable…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other subparts as…

Q: 2. Using both trapezoidal and Simpson rule, find the approximate values for the integral In(tan x)…

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Q: If the change of the variables u=x^2-7 is used to to evaluate the definite integral upper 6 and…

A: Explanation of the answer is as follows

Q: x + 2x – dx

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Q: 34. x sec xdx

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Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x)dx

A: We need to use the mid-point rule to find the value of the definite integral.  The mid-point rule…

Q: 3. Evaluate the improper integral: dx | Tale + 1)'

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Q: Evaluate the integral. integral   x 4  + 3x 2 +1      /  x 5 +5 x 3 +5x  dx

A: Given: ∫x4+3x2+1x5+5x3+5xdx for evaluating given integral we substitute x5+5x3+5x=t now…

Q: Evaluate the integrals. ∫x(x + 3)10 dx

A: According to the question, we have to integrate the given integral ∫xx+310 dx. The given integral is…

Q: What are two options for finding the indefinite integral below? ∫ 5t dt

A: ∫5t dt First option: We can integrate it directly by using the formula ∫xn dx=xn+1n+1+C, we get ∫5t…

Q: 18) Use two compositions of composite Simpson's method to estimate the integral S" Inx dx

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Q: 5 .Use the definition of the integral to evaluate | (2x - 3)dx

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Q: Evaluate the integral. 2 x²-5 dx 8 2 X 8 X X -5 dx=

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Q: 3. Evaluate the integrals √tanh x sech² xdx

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Q: Evaluate the integrals.∫(x/(x-2))dx

A: Solution -  Given Integral is -  y = ∫xx-2dxWe can write it as - y = ∫x-2+2(x-2)dxy =…

Q: Evaluate the integrals ∫x-4/3 dx

A: Given information: The integral is ∫x-43dx. Calculation: Use the power rule of integration…

Q: Find the integral [x(4x+3)'dx .

A: We have to solve the integral.

Q: Find the Indefinite Integral by making a change of varlab of Integration.) dx

A: Given: I=∫xx-6dx    ....1 Let, u=x-6⇒x=u+6 Now differentiate on both sides with respect to x.…

Q: Evaluate the integrals ∫3/x dx

A: the given integral is: ∫3xdx we have to evaluate the given integral. let the given integral be I.…

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: cln 2 tanh 2x dx

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Q: 8) Evaluate the Integral x2 + 2x dx

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Q: Calculate the integral of x(1+ 3x)° dx .

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Q: Evaluate the integrals.∫(√x + 1)/√x dx

A: Given:∫x+1xdx

Q: Evaluate indefinite integral: dx / (x+3) * squareroot of x2+6x

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Q: Calculate the value of the definite integral. 5 4 dx

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Q: Evaluate the integral. integral       x +4 / (x  2 + 2  x  + 5 ) dx

A: The given integral ∫x+4x2+2x+5dx can be evaluated as, ∫x+4x2+2x+5dx=∫x+4x+12+22dx…

Q: Consider the indefinite integral Va" – 1 dx:

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Q: Use any method to evaluate the integrals ∫ x4 - 1/x5 - 5x + 1 dx

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Q: Evaluate the integral. x+ 10 dx x+2

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Q: 4x √x² - 1 2 s dx

A: Solve the integration

Q: 5. Find the area under the curve integrate 2/(9 - x ^ 2) dx

A: Given;           ∫29-x2 dx Take the constant out: ∫a.fx dx=a.∫fx dx           =2.∫19-x2 dx Apply…

Q: 3. + SullivanCalc2 5.4 Evaluate the definite integral using th 16 (1 - V) 2x Additional Materials…

A: Given integration is ∫4161-x22xdx.

Q: S(3x2 + 4x – 5) dx

A: I am attaching image so that you understand each and every step.

Q: Evaluate the integral of ex*+1 2x dx.

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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: Evaluate the indefinite integral: S (sec²x+ +) dx x2+4

A: We will solve the problem.