3. Evaluate the indefinite integral e* –3 -dx (e²x +1)(e* – 2)

Q: Compute the definite integrals. Lx cos(x) dx х COS OT – 1 O1 -2 O 2

A: Please refer the attached image for complete solution.

Q: -cos² dx X' X

A:

Q: (-8sec Xtenx-9sec?x)dx=?

A: We have to evaluate the given indefinite Integral

Q: 8. Find the general indefinite integral (x³ -2² + x)dr; b) / (2" +-)dr, x > 0; c) (sin(3t) +…

A:

Q: 4 18. Evaluate the indefinite integral / dx. 3 X,

A: Given integral to find ∫4x3dx To integrate this first take the constant out 4∫1x3dx Applying the…

Q: 2. Compute the following definite integral: X-3x+2 dx x2-2x

A: The solution is :

Q: compute the definite integral.

A: ∫1elnx dxx2

Q: 3. Find the indefinite integrals. (a) /4 dx (b) /2* r 2x-x2 dx

A: Given two functions integrate it by use of formulae

Q: 6. Find the indefinite integral x² dx

A:

Q: Find the indefinite integral ∫ e1−3x dx

A:

Q: 3. Evaluate the indefinite integral 1 -dx x' + 3x? 3

A: Given,

Q: integral from 1 to 2 of (e1/x^3 ) / x4

A: To evaluate

Q: compute the definite integral.

A:

Q: - Evaluate the integral dx using Simpson's th rule e* – 1 3 -

A:

Q: 7. Which of these is a non-elementary integral? In(2y² + 1) А. -dy 4y e-x cosh(2x) В. c. [ e-x +…

A: Non-elementary integral for a given elementary function is an  indefinite integral that is, itself,…

Q: Evaluate the definite integral. 2 e3x dx 3x 1 + e3x

A: Here, we can see that the numerator is of the form of the derivative of the denominator, hence, we…

Q: Find the indefinite integral ∫ e2x/(1 + e2x) dx

A: Given: I=∫e2x1+e2xdx for evaluating given integral, we substitute 1+e2x=t…

Q: Evaluate the indefinite integral: 3 dx J x In(5x)

A:

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: Determine the following indefinite integral. X 15-02 ex dx = dx, x < In 3 9- e 2x (Type an exact…

A:

Q: 2 Evaluate the improper integral e2a dx, if exists.

A: Evaluate the improper integral  ∫-∞2 e2x dx

Q: Evaluate : Integral from 0 to 2 : 2x^2 e^-2x dx

A: To determin the value of the definite integral.

Q: 2. Find the indefinite integral: S (Vã+ - x + - 1) dx 6 .3 X X

A:

Q: Evaluate the integral 4х + 5 dx. 3 - x2

A: To find the integral

Q: Find the indefinite integral ∫ (e2x − e−2x) / (e2x + e−2x)   dx

A:

Q: Find the indefinite integral. 1 - e2x dx

A:

Q: 7 In x (1) Evaluate the definite integral dx.

A:

Q: 3.12 Еxpress lim n00 n k3D cos 1+ as an integral. (Be sure to include the lower and upper limits|of…

A: Given: limn→∞ 2n∑k=1ncos1+2kn To convert this into the integral , use the following method

Q: Evaluate the double integral. eln 3 3 7 dx dy In x ey In 3 3 7 dx dy = (Type an exact answer in…

A:

Q: (6) Find the indefinite integral (af* -3x +2 Fdx x+1 12x - 22x (bJ -dx 3x* -11x +15 x² + 2x +3 -dx…

A: Note: As per companys policy we should do maximum 3 subparts of a question.So, kindly post the other…

Q: Find the general indefinite integral.   ∫ (x2+  x-2)    dx

A:

Q: 5 Only one of these calculations is correct to evaluate the definite integral 7x In(x) dx Using the…

A:

Q: e2x +2e* -dx e* +1 2.

A:

Q: Find the indefinite integral ∫(3√x+e3)dx.

A:

Q: Show that integral 0 to infinity  x2 e -x2  dx = 1/2 integral 0 to infinity e -x2  dx

A:

Q: 5. Express the integral: e- dr in terms of gamma function.

A:

Q: 1. Evaluate the indefinite integral. Hint: U-substitution. 3 dx x In x

A: ∫ 3x lnx dx 3∫ 1lnx·1x dx

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

A:

Q: Evaluate the indefinite integral as an infinite series. cos(x) – 1 dx + C n = 1

A: sol: Given ∫ cos x-1x              consider  cos x-1x = -1x+ cos xx…

Q: 2 Evaluate the improper integral 4x e dx, if exists. 8.

A: Given that,           ⇒           ∫-∞2e4x dx   ,   if exist             ⇒         find the…

Q: Compute the integral 4x /5 – e2¤ dx. e

A:

Q: Compute the definite integral 2 dx Vx² + 4

A: First, we need to compute ∫xx2+4dx

Q: Obtain a "reduction" formula that expresses the integral cos" x dx in terms of an integral of a…

A: Integration by parts: If u is first function and v is second function then: ∫u(x) v(x) dx=u(x)∫v(x)…

Q: Find the Indefinite Integral. x²-2x dx メ-3

A: We have to find the Indefinite Integral  ∫x2-2xx3-3x2dx.

Q: Find the indefinite integral. ∫e3x+1 dx

A: The given integral is ∫e3x+1 dx

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

A:

Q: Evaluate Poisson Integral: In(1-2a cos(x) + a²) dx ,a.) [a| 1,

A: To evaluate Poisson's integral: ∫0πln1-2αcos(x)+α2dx  a)α&lt;1 b)α&gt;1

Q: 1. Evaluate the integrals that converge: dx 2x ! dx (x2 + 5)3 b) a) 3-x - 00

A:

Q: 4: Find the indefinite integral of f(u) = -1-3√ =

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.