t ln (t + 1) dt

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

A:

Q: In the given equation/s as follows , find the indefinite integral:-   See the question as attached…

A: Let x=sin2u. Therefore differentiating both sides: dx=2sinucosu du Substitute x=sin2u in the…

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: e the integral, 1 x2 dx (3 + 4x – 4x²)/½

A: Given integral, ∫01x23+4x-4x232dx Find the value of the integral in the following.

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: Calculate the integral approximation S10 for Si, dx. 1 x5+1 S10 =

A: Let's find integration value by using simpson rule.

Q: 2. Find the following indefinite integrals. Use Substitution and/or Integration by Parts when needed…

A: a) Evaluate  ∫sinθcos4θdθ         ...(1) Simplification: Put cosθ=t⇒-sinθdθ=dt in (1)…

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

A: Integration means addition it is used for adding continuous function which can't be added by simple…

Q: In x dx a/1+(ln æ)? (In x 2

A: We have to evaluate the given integration

Q: Evaluate by algebra dx 1. S 3 1+ √x+1

A:

Q: In the given equation/s as follows , find the indefinite integral:-   See the equation as attached…

A: ∫1-x2x4dx Put, x=sinθ⇒1=cosθ·dθdx⇒dx=cosθ dθ Therefore, ∫1-x2x4dx=∫1-sin2θsin4θ cosθ dθ=∫cos2θsin4θ…

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

A: ∫0π2x1+sinx2dx Consider, ∫x1+sinx2dx Now put, x2=t⇒2x=dtdx⇒x dx=dt2 Therefore,…

Q: Find the general indefinite integral. (Use C for the constant of integration.) (u + 6)(4u + 7) du

A: Answer of given question is following below

Q: Use the basic integration rules to find or evaluate the integral. e In(2x) 1+ ln 4 [eind X X dx

A: The given integral ∫1eln2xxdx

Q: Find the exact value of the following improper integral: ex L x2 dx

A:

Q: (7x²) · e3*dx r1/2 cos(Tx) · ešin (r2)dx •ln(3) et Jin(2) ez +7dr et +7

A:

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: Evaluate the following improper integral. If it diverges, then type DNE. Otherwise, find its exact…

A:

Q: e2¤ (e-ª + e*)dx

A:

Q: Find the indefinite integral. (Use c for the constant of integration.) [(48³1 + (4t³i + 14tj -…

A:

Q: Solve if the improper integral below diverges or converges. If it converges, solve for the value. La…

A: This question can be solved using the concept of convergence and definite integrals.

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

A:

Q: Q2) A. Evaluate the following integral using the Simpson's rule, giving the answer correct to 3…

A: Numerical integration, by Simpson's rule

Q: E Evaluate the integral by integrating the equivalent reversed order : 14 ex dydx 1 e

A: I hope that the given solution will help you . Thank you. Best regards.

Q: Use a table of integrals to find the indefinite integral ∫ 1/ t[1 + (ln t)2] dt

A: Rewrite the given integral as shown below: ∫1t1+lnt2dt=∫1t1+ln2tdt

Q: Q3 Evaluate the following integrals X. cosh? () dx -In2 1 - | 2 - cosh(lnx) dx

A:

Q: dx: Consider the indefinite integral e* +4

A: We have to evaluate the integration by substitution.

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

A:

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

A:

Q: Use Simpson's rule to find the value of the following integral -3x² dx -0.9 e 0.1 where n=4

A:

Q: I. Evaluate the following integrals. 1. J 1 - coth² (log₂x) dx x cosh (log₂ x)

A:

Q: -9 In t dt J4

A: Evaluate: ∫49lnttdt

Q: 2) Colculate the following integrals lby integration by ports formula. a) S2x log,x dx 3

A:

Q: Find as many of the following integrals as you can using the formulas and techniques you have…

A: Part (a) - Let the given integral be y - y = ∫dxxlnx           ......................(1)Let,t = lnx…

Q: | (x" +e – dx x2

A: The objective is to find the value of given integral

Q: -c) S dx d) Sdx 4+x2 4+x2

A: To evaluate (c)∫dx4+x2(d)∫x4+x2dx

Q: Find the indefinite integral

A:

Q: Q1: Find the value of the following integral | (1- x)3. ev dx

A: The given integral is: I=∫0∞ (1-x)3 ex dx

Q: 2e" dx (e – 1)2 1

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) (u + 9)(5u + 6) du

A:

Q: Find the general Indefinite Integral. (Use C for the constant of integration.) (u+7)(4u+9) du

A: Solve the following integral

Q: Use the table of integrals at the back of the text to evaluate the integrals ∫e2t cos 3t dt

A: Given, ∫e2tcos(3t)dt

Q: Find the indefinite integral. (Use c for the constant of integration. |(ei + 3tj + 16t°k) dt

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 2 | cos(e) – 1 de 2(1+ cos…

A: NOTE: Refresh your page if you can't see any equations. . ..................(1) take  using…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dt cos²(t) /4 + tan(t) 6

A: To evaluate the given integral.∫dtcos2t 4+tant6

Q: Q:: Find the integral for the following functions: 2) S exp(In(2)²*)dx 3) ſ e3x .sinh(x) dx

A:

Q: A. Evaluate the following integrals using the different methods of integration 5х + 6 dx (x – 2)(3x+…

A:

Q: For what values of  a is ∫0∞ eax cos x dx convergent? Evaluatethe integral for those values of a?

A: ∫0∞eaxcosx dx Now, ∫0∞eaxcosx dx=limt→∞∫0teaxcosx dx=limt→∞eaxa2+1acosx+sinx0t    ∵∫eaxcosbx…

Q: Find the indefinite integral using the substitution x = 4 sin(0). (Use C for the constant of…

A: To find the indefinite integral ∫116-x232dx