1. [(r* - 4x+1)dx

Q: Using integration by parts to solve f S and letting u =-, x2, then v = f(x) is %3D

A: Integration by parts is used to integrate an expression that is a product of 2 functions. The…

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Q: (8 - 3x2) dx. Given that dx = use this fact and the properties of integrals to evaluate

A: Given: ∫01x2dx=13 The objective is to evaluate the integral of ∫018-3x2dx

Q: 3z cos(z), dr. * 15. (G Use an appropriate substitution to evaluate the definite integral Show all…

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Q: 5. fx3 cos x? dx

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Q: 4. . :/2 x sin xdx 13

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Q: b) Performing the substitution yields the integral c) Once we integrate and substitute, the final…

A: We can solve this as follows:

Q: indefinite integral f 30V02 + 1 d0. (u-substitution)

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: e tan (e) dr sec2 (e) – 7

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Q: 2 2t dt

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Q: Evaluate the definite integral using integration by parts. (Leave the answer in exact form.

A: We need to Evaluate the definite integral using integration by parts of the following integral.

Q: Evaluate the integral. (Use C for the constant of integration.) (8x3 − 6x2 + 8x +

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Q: Showing your work, evaluate the indefinite integral. 4 J 16+25x2

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Q: evaluate the integral using the appropriate method or combination of methods covered thus far in the…

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Q: SV + 2) /2 – 3y dy -

A: The detailed solution is given below Thank you

Q: che general indefinité Thtegrai. | (81? - 6t-2) dt luate the definite integral. 6. (8t3 - 6t-2) dt

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Q: Solve # 40 by completing the square and using trigonometric substitution.

A: Given an integral,

Q: 3 dx (x2)Vx2+9 x²+9,

A: The given integral is: ∫3x2(x2+9)dx

Q: Use integration by parts to evaluate the integral. ∫0π/3 5exsinx dx type an exact answer

A: Given, definite integration is

Q: Evaluate the integral. 2/2 dr V1- 12

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Q: 3. Vsin x+1 cos.xdx

A: Solution

Q: 2 - 4 dx 5x

A: formula used ∫1xdx=log|x|

Q: Jo logsinx dx by Q3) Evaluate the integral trapezoidal method (use h-D)

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Q: 1 dx (x²)vx2-9

A: We have to find the integration

Q: dx x+x4/3

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Q: dx 60. x² – 6x + 34 бх + 34

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Q: 12) Use integration by parts to evaluate. Express answer as both exact and approximate using 3-…

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Q: x2 Use the residues to evaluate the improper integral: -dx . (x² + 1)(x² + 4)

A: The given improper integral is written as:

Q: Integrate xcos (2x² + 7) d×

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Q: T/2 Cos (x) dx

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Q: Evaluate the integral |8*dx. - 1 8*dx = (Type an exact answer in simplified form.)

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Q: Solve the indefinite integral x^3(1+x^2)^1/2dx using u substitution

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Q: Solve using iterated integrals. (with graph) Find the area bounded by the circle x2 + y2 = 25, the…

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Q: Evaluate the integral. (Use C for the constant of integration.) 2 + x dx 2 - x Need Help? Watch It

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Q: Evaluate the integral. dx V16-x - 33 dx (Type an integer or a simplified fraction.) (Туре %3D V 16 -…

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Q: -r-2y dydx J2x

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Q: Evaluate the indefinite integral. V 9 + x² dx %3D

A: ∫9+x2dx

Q: Identitfy the technique used in solving the problem. i.e. Trig sub, u-sub, by parts etc integral…

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Q: 2. Using contour integration and the residue theorem show that: dx x4+1 2/2

A: Applications of resiuce theorem

Q: integral by completing the square. (Use C for th dx + 17

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Q: (a) Use the Midpoint Rule with n = 6 to approximate integral 8 x-6 6 x+8 dx Write your answer exact…

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Q: (a) Use the Midpoint Rule with n = 6 to approximate integral 8 x-6 S6 dx x+8 Write your answer exact…

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Q: R= {y = x^3 + 1, x=1, x-axis}   Can you help me answer this? And explain how did you get the…

A: Solution) R= {y = x 3 + 1, x=1, x-axis} We find the intersection point  y = x3 + 1 When  x = 1 y =…

Q: b. Evaluate the integral f using residues and any other method which can be applied to solve this…

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Q: dx 2. (x² +2)°

A: Solution)

Q: (a) Use the Midpoint Rule with n = 6 to approximate integral 8 x-6 So dx 6 x+8 Write your answer…

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Q: oproximation to a root of the equation x2 - x - 1 = 0 in the interval (1, 2) by bisection 1l be:

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Q: 8. Evaluate the integral x-4 g2 -5x+6 dx

A: Topic:- application of integration   Note :- as per our guideline if more than one question uploaded…

Q: Make a substitution to express the integrand as a rational fun- 4e2x e2X + 10ex + 21 dx

A: Given: I=∫4e2xe2x+10ex+21dx For evaluating given integral, we substitute ex=t…

Q: dx 6. S (x2+6x+34)2

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