=valuate the integral. (Rem. 25 + x2 dx

Q: et dx e – 2e*

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Q: Improper Integral:- Explain why ?  see the question as attached here

A: Improper integral is a definite integral in which the integrand is not defined at one or both the…

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A:

Q: ** Using the substitution y=x, the integral eln24 evx dx is the same as or equal to

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: r3 ex dx = e3 – e '3 Use the properties of integrals and | (2ex – 2) dx to evaluate

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Q: I. Evaluate the following integrals. cln 2 #3. sec-(e")dx

A: integration using integration by parts method if it is helpful appreciate me.

Q: Q2/ Evaluate the integral: 6. xe' dy dx by changing the order of integration.

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Q: Determine the Equation from the information below: HA: none X-Int: (0, 0) VA: none Y-Int: (0, 0)…

A: The graph of a straight line crosses the x axis at the x-intercept and the y axis at the…

Q: Express the integral a.e •e²² dx in terms of the integral dx .

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Q: valuate the following Integrals 1 -3 +1 dx 4secx tan x- 2 sec? x)dx .3 dx x² +1

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Q: Evaluate the integral. (Use C for the constant of integration.) s¯¹(x) dx COS

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Q: te the integral. (Use C for the constant of integration 21x-5 dx

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Q: Evaluate the integral. (Use C for the constant of integration.) e-e cos(40) de

A: Given:

Q: r6 Evaluate the integral dx dy by reversing the order of integration. NOTE: Enter the exact answer.…

A: We're going to solve

Q: dx a proper or improper integral? Why? (x-3)? .3 Is So 1

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Q: y'e* P.

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Q: valuate, numerically, the following integrals: b) Sor sinx dx by using Simpson's rule ( take n = 4 )

A: Given, f(x)= (sin x)/x b= π/2 a=0 n= 4

Q: rect answer to evaluate the following integral dx 1 I (1 – x4)Z

A:

Q: Evaluat the integral, dx dy y's зу

A: We need to evaluate the double integral- ∫01∫3y3ex2dxdy Here we will use the following integration…

Q: Use reduction formula to evaluate the given integral xe" dx

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Q: S y sinh dy a

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Q: Using an appropriate substitution, the integral f e cos(e* + 1) dx is equal to:

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Q: + 6) dy dx = t) Evaluate the iterated integral

A: Given,

Q: dx For the integral L ' (x-1)% which of the following options is correct?

A: Solve: ∫-121x-123dx

Q: The integral 1 dx x2 - 4 x + 4 ? If the integral is a number, enter the value in the blank below. If…

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Q: r20 c5 Evaluate the integral | e dx dy by reversing the order of integration. NOTE: Enter the exact…

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Q: Q2: Evaluate the integral by integrating the equivalent reversed order: 13 e* dydx 1 e

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Q: / Va2 – 1 ¢2 – 1 dx

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Q: valuate the following integral using integration by parts x sin (1/7)x dx

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Q: Evaluate the integral. NOTE: Enter the exact answer. dy dx

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Q: E 3y dx dy Evaluate the integral

A: Consider the given integral  ∫01∫-1-y21-y2 3y dxdy

Q: valuate the following integrals: dx (a) x² Vx² – 16 -

A: As per guidelines we have to solve one question

Q: B: Evaluate the following integral by changing the order of integration: LS dy dx

A:

Q: Evaluate the integral.

A: ∫ex1+exdx Formula ∫xndx=xn+1n+1+C

Q: 4 dx=? e.

A: ∫14 4x-e-xdx =∫144xdx-∫14e-xdx =4∫141xdx-∫14e-xdx =4lnx14-e-x-114 =4lnx14--e-x14 =4lnx14+e-x14

Q: r+∞ e dx - dx x ln x

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Q: col B// Evaluate the following integral : S dx

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Q: Evaluate the integral. /x + c dx

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Q: Q: : eva luate the fallowingy integrals

A: The solution are next step

Q: a Va - х dx ? /a - x What is the value of integral Vx + Va

A: We will find out the required value.

Q: Evaluate the integral. dx + C

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Q: 2 dx. x? +1 34. Evaluate the improper integral

A: Use limit method

Q: Use the Table of Integrals on Reference Pages 6–10 toevaluate the integral. integral e t  (sin a t -…

A: Given integral is ∫etsinαt-3dt

Q: Findl the specitie intearals (show calkoladion e 1) x' (In+) dx 1.

A: (1) Consider the given integral: ∫1ex2lnx2dx Apply the rule of integration by parts:…

Q: e the integral. dx

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Q: Evaluate the integral. NOTE: Enter the exact answer. 1 xy10 dy dx x2

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Q: Evaluate the integral. T/6 | 9 sec'x dx 2. п/6 |9 sec?x dx = 3/3 (Type an exact answer.)

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Q: Evaluate the integral. (Use C for the constant of integration.) 15x cos?(x) dx

A:

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.