Find the indefinite integral using the substitution x = 5 sin(8). (Use C for the constant of integration.) dx (25 – x2)3/2

Q: 2. dx find this integral by using Simpson's rule e

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Q: In the given equation , select the basic integration formula you can use to find the indefinite…

A: Consider the given integration as ∫1x1-2xdx

Q: In the given equation as follows , use a table of integrals to find the indefinite integral:- See…

A: Given: I=∫excos−1(ex)dx

Q: Find the exact value of the definite integral below, using the substitution u = x - 1²/1. X (√6+√2)…

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Q: 1. Solve the following integral by using the Integration by Parts. (a) x sin x dx (b) e 2x sin 2x dx

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Q: Find the following indefinite integrals. (i) (ii) | cos (2x) sin (2xr) dx

A: According to question  given :(i) ∫xex21+ex2dx(ii) ∫cos3(2x) sin2(2x) dx

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

A: 1)

Q: 3., J(5 cos x+4 sin x) dx

A: We have to find integration

Q: Q3: Find the integral for the following functions: - 6 dx 1) 2 x+2

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Q: evaluate the given integral. L (ex + e-x)/2 dx

A: To evaluate, ∫ex+e-x2 dx

Q: 1. Evaluate the following integrals using appropriate methods and simplify your answers. (a) x*e* dx

A: To Determine :-  The given integral is : (a) ∫ x3 ex2 dx

Q: J, 3x +1 dx 3. Find the exact value of the given definite integral *, 6 dx 4. Evaluate the given…

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Q: If you are asked to find the indefinite integral of f(x) = x ln(x), and you are told to integrate by…

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Q: In the given equation as follows , use a table of integrals to evaluate the definite integral :-…

A: Given: I=∫0π2xsin2xdx For evaluating given integral, we use integral by parts theorem According to…

Q: Find the indefinite integral.

A: Let ex+e-x=v. Differentiate both sides: (ex-e-x)dx=dv Substitute v and dv in the integral…

Q: In the given equation as follows , use a table of integrals to evaluate the definite integral :-…

A: Simplification of the function helps to integrate the given function. The addition and subtraction…

Q: In the given equation as follows , find the indefinite integral using the substitution x =5 sec θ.…

A: In some cases an integral can be converted to a standard integral with an appropriate substitution.…

Q: Solve the following indefinite integrals, using substitution or integration by parts where needed 10…

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Q: S dx 2.

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Q: For which of the following integrals would the substitution method be effective? dx x² + 1 æ/1+x² dx…

A: Among the given options, Substitution can be used in both 1 and 2 but in third one the product rule…

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

A: To find the correct option.

Q: 5x+6 Consider the indefinite integral e+0 dx:

A: given equation= e5x+6

Q: 4. Solve the following integrals using the substitution method. (a) sin x cos* x dx (b) Jesin z cos…

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Q: J cos(2x)e2x dx (recurring)

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Q: In the given equation as follows , use a table of integrals to find the indefinite integral:-   See…

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Q: In the integration of (cos y)^2 dy/(1- sin y), what is the first step to solve the integral? *

A: Given,          ∫cosy2dy1-siny

Q: Find the indicated integral (if it exists) / e bx dx e12z +1

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Q: Find the value of the following definite integrals. Show your solution. 1. f(x¹+4) dx 2. (cos x +…

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Q: (d) (x² + 1)² dx (e) L dx (x² + 1)² (f) eir dx

A: d. Given

Q: Q3/A) Evaluate the integrals S sin(ln x)dx

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Q: Given 4 cos(x²) dx 2 How many Trapezoids will you need to estimate the definite integral to an…

A: Given the integral I=∫24cosx2dx. (a) We need an accuracy of 0.001 when the Trapezoidal rule. The…

Q: Solve the following integrals: i. S(e** cos(2x)) dx using integration by parts or tabular method.…

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Q: Q4: Find the integration for the following functions: - (answer three only) sin(lnx) dx 3-…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: The value of n when integrating the following function using Simpson's method is: [2²/ dx h = 0.2 >

A: solution is given below

Q: b) f6xæ**dx 4 cosht)dt

A: We have to find the integrals.

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

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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: 2e" dx (e – 1)2 1

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Q: | cos x sin xdx

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

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Q: Find the indefinite integral x2e +e² dx.

A: The given indefinite integral is: I=∫x2e+ex dx

Q: Find the indefinite integral ∫ dx / (4 + x)3/2 (a) using a table of integrals and (b) using the…

A: a) ∫dx4+x32 Apply u- substitution : u=4+x du=dx plug all this values in given integral and then…

Q: 3. Evaluate the following definite integrals using a change of variables. а. sin(2x) dx b. xVx+1 dx…

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Q: 1. Evaluate these integrals either by substitution or by integration by parts: cln 2 et a sin(2r) dr…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: (d) L™ x³ cos(x* + 5) dx. (e) f(2x – 1)³ dx . -

A: For the given integral  ∫0π4x3cos(x4+π2) dx

Q: Q2 Find the integral for the following : dx 1-S 2Vx+2x 2- Se-*sec² (ne¯*)dx 3- S dx 1+e*

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

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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: Q.4 Use the integration by parts to evaluate the integral. V3 2 sin-1 x dx

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