Find the indefinite integral. (Use C for the constant of integration.) 9x° + 5 (+9 dx (x° + 5x)-

Q: Q5) Find the integration by using (by part method): Se3x sin X dX

A: We can solve this using part method

Q: Q17: Find the indefinite integral: Sezt (e2x + 1)° dx

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Q: -x + 2 dx . x2 + 2x ate the integral

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Q: 12x + 18 1. What is the indefinite integral of / :) dx ? x3 + 5x2 + 2x –8

A: 1)

Q: 1 Use the integration formula ax dx = ax + C to find 4* dx and simplify. In(

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Q: Q5) Find the integration by using (by part method): S e3X sin X dX

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Q: Find the value of the following definite integrals. Show your solution. L₂(x¹+4) dx 2. (cos x + tan…

A: Topic = Integration

Q: II. Perform the integration. sinh? (e¬) dx eª cosh(e-¤) 2 4.

A: We have to find value of given integral.

Q: 4. (ази t эзо

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Q: dx 1. S (x²+1)(x²-4)²

A: Use partial fraction to solve it.

Q: 13. How many times will you perform integration by parts to evaluate sin(Inx) dx? A. 1 B. 2 C. 3 D.…

A: Let's find.

Q: Q I find integrals 3-2X 2 +4X dx

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Q: Find the indefinite integral. (Use C for the constant of integration) S cos h² (x – 7) sin h(æ – 7)…

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Q: ['Y«) dx (0, Solve the integral equation : = 1+1+?. (x-1)AO, Using L.T and convolution

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Q: Evaluate the integral: 3 9x dx

A: Given,          ∫3-9x2dx

Q: dx Solve the integral: 1

A: Integrated by using complete square

Q: бх + 9 dx V6х — х2

A:

Q: 3 sin (T|3 – 2x|) dx

A: The given integral,   ∫03sinπ3-2xdx

Q: 2 Using substitution, the definite integral 3x2 dx is equivalent to /x³ + 1

A: To find the correct option.

Q: (a) 18 d.x x² – 49 (b) 20 1 - dx 2x2 – 72 (c) 6. - dx x² – 4x – 5

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Q: *x³ + 1 In solving for the -dx, what technique is suited to solve for its integral? x²+1 A…

A: The solution is given below

Q: Use integration by substitution to solve the integral below. Use C for the constant of integration.…

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Q: In the given equation as follows, use integration tables to find or evaluate the integral :- see the…

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Q: x3 + 3x + 1 dx| J (x + 1)²(x – 2)² Find A, B, C, and D then find the integral?

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Q: S dx (36x² + 1)²

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Q: refer to f -3)dx x-2 What will be the answer when the integral is evaluated? Show your solution…

A: Integration of the given integrand x2-3x-2 can be found with the help of the division algorithm and…

Q: II. Perform the integration sinh? (e¬) 4. e# cosh(e-¤) dx

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Q: dx x* +3

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Q: Evaluate the definite integrals a) (бх? — - 2x – 10) dx = / (x+ 4)² dx = b) 1 c) (x* – x³ ) dx - ||

A: Some of the properties of integration  ∫abf(x)dx=F(b)-F(a) ∫xndx=xn+1n+1+C…

Q: Find the value of the constant C for which the integral 6C x² + 9 dx X + 3 converges. C = Evaluate…

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Q: Find the most general antiderivative or indefinite integral. 2. cos 7x - csс"x) dx

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Q: 8 x2 + 16 dx x2 The integral is equal to ...

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Q: Q(1) Find the integral of Vx² – 16 dx

A: Use substitution method to find its integration.

Q: x³ dx Using integration by parts to solve f √4- and letting U = - then v = f(x) is

A: Topic:- function and integration

Q: the integral , dx is equal to: -2 x2+4x+5 4 2 the above the above

A: We will find the solution of the integral.

Q: 3(b) Find the indefinite integral of S*vx+6 dx

A: We need to find integral.

Q: 4) Evaluate the definite integral: s?(2n² - 4x + 8)dx. |

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Q: dx 8. Find the definite integral Ans:

A: Given integral  I=∫56x2-25x2dx

Q: x3  (x2 + 9)^(1/2) dx What is the integral of this?

A: Given integral can be expressed as

Q: If you were to use a substitution of u = 3x³ + 6 to evaluate the definite integral below, what would…

A: Given integral: ∫-144x23x3+64dx We have to use substitution u=3x3+6 to evaluate the new limit of the…

Q: aluate the definite integral. x6 + a2 dx (a > 0)

A: We have to find the integral

Q: 6) Use the successive approximations method to solve the following Volterra integral equation: (x 2

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Q: +1 dx x+1 10.

A: As we know that the power rule: ∫xndx=xn+1n+1+C ; n≠-1 From the given problem: I=∫01x3+1x+1dx

Q: a) Solve the integration by parts [cos(x)e*dx.

A: We need to solve the given integral  This can be evaluated as follows:

Q: How many times do you have to apply Integration by parts technique to evaluate the integration Jx?…

A: Here we have ∫x7cos(x2)dx ......................... (1)

Q: f(x) = e-* cos(2x) dx

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Q: r2 c-x+3 3 J(x-1)² 4x° dydx

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Q: uate the indefinite integral. (use C for the constant of integration.) dx 7)7 73

A: We have to calculate the given indefinite integral

Q: T/2 sin & cas Ode sinte

A: