5 Only one of these calculations is correct to evaluate the definite integral x² In(x) dx 1 Using the Trapezoidal Rule with n=4

Q: In this problem, use properties of definite integrals. 9. Vx2 - x² - 1 dx. Evaluate

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 1. Write an expression for the evaluation of the integral sin x² dx by the trapezoid rule using n =…

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Q: Find the following indefinite integrals through the substitution method. 10. (4- r)%

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Q: Evaluate the indefinite integral. (6x + 7 -dx x2 + 1

A: ∫6x+7x2+1dx

Q: Find the indefinite integral. S 5xe-xdx

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Q: Find the indefinite integral.

A: ∫x25-x3 dx Put, 5-x3=t⇒0-3x2=dtdx⇒-3x2 dx=dt⇒x2 dx=-dt3

Q: Only one of these calculations is correct to evaluate the definite integral 4 | x? cosh(x) dx 0.…

A: Formula for Simpson's 1/3rd rule ∫baf(x) dx= h/3[(y0=+yn)+4(y1+y3+........+yn-1)…

Q: 1 use this fact and the properties of definite integrals to evaluate 3 (7 - 6х2) dx. Given that x²…

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Q: Evaluate the integrals ∫cos3 x dx

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

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Q: 1 use this fact and the properties of integrals to evaluate dx =3 (7 – 6x2) dx. Given that

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Q: 17. Why doesn't the definite integral 1-x² dx make sense? (Hint: Think about domains.)

A: To find: The reason why the definite integral ∫231-x2dx does not make sense. Explanation: Substitute…

Q: Evaluate the integral from -n/2 to +t/2 of x² sin x.

A: Given integral

Q: 3. Determine the number of sub-intervals required to approximate 3 -x² dx e using the Trapezoid Rule…

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

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Q: Only one of these calculations is correct to evaluate the definite integral V sinx dx Using the…

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Q: Evaluate the definite integral. 3 9 In(x) dx

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Q: compute the definite integral.

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Q: 12 1. dx 2V3*Vx 1

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Q: sin x dx 2 + cos² x

A: .............(1) substitute  put all values in equation 1

Q: Find the indefinite integral ∫ 1( 4 + 4x2 + x4)dx

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Q: By using the definition of the definite integral, evaluate 27 1- sin2 x a) dx (use the left…

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Q: Evaluate the integral. S. 4 x* - 3 dx 14 4 x* - 3 dx = 14

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

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Q: 4. Evaluate the indefinite integral. 24x³e(2x*) dx

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Q: Use any method to evaluate the integrals ∫x cos3 x dx

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Q: Find the indefinite integral. ∫5xe−x2 dx

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Q: Find the indefinite integral. S-x² + sin x – 3* dx | In |x| – - 3* + C COS X - 3 In 3

A: detailed solution is given below

Q: Find the indefinite integral ∫ (x2 − 6x + 1)/(x2 + 1) dx

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Q: Evaluate the definite integral. 4 (x2 - 3) dx -4

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Q: 19. Use Simpson's rule with n=8 to estimate the following integral. Estimate your error. So5-4 cos.x…

A: Given integral can be evaluated by using Simpson's rule with n=8 as shown below

Q: Find the indefinite integral.

A: To find: The indefinite integral ∫dxxln x23. Concept used: Power rule of logarithmic: ln ab=b·ln a…

Q: Evaluate the definite integral. rIn 3 8e-X cosh x dx

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Q: Evaluate the definite integral. ∫(lower bound=π/4)(upper bound=0)sin(4t)dt

A: Given,             ∫π40sin4tdt

Q: set up an integral ....bounds x=3pi/4 x=-pi/4 y=-sinx and y=-cosx

A: GRAPH

Q: Evaluate the integrals ∫16 sin2 x cos2 x dx

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Q: solve the integral: I2=  integral limit from 0 to 4= 1/((x+1) squar root of 2x+1) dx

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Q: Evaluate the definite integrals S(2sin(x)-3cos(x)dx

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Q: Evaluate the indefinite integral

A: Given:

Q: Find the indefinite integral. dx | 7x2 +2

A: Given, I=∫x7x2+2dx

Q: Find the indicated midpoint rule approximation to the following integral. .3 2 sin 7x 2 x dx using n…

A: Calculate the delta x and the f(xi) for the given integral.

Q: Evaluate the integrals ∫sin3 x cos4 x dx

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Q: | (3x² + 4x + 1) dx

A: The power rule of integral is,

Q: 4. Evaluate the integral: In6 -2x + sinh 2x|dx e2x + e-2x

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Q: Evaluate the indefinite integral: 3 3 x² dx + С. x3

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Q: 3 2 dx .2 4.

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Q: Evaluate the following indefinite integral

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Q: S(3x2 + 4x – 5) dx

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

Q: Evaluate the integrals ∫sin3 x cos3 x dx

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Q: What is the definite integral of "(4) / (x^4 - 81) dx " from bounds 5 to 10.

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