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

Q: Jse the properties of integrals to verify the inequality. 1 ,2 x cos I dx <1

A: Given query is to find integral to verify the inequality.

Q: Evaluate the integral: fe2 /1+ e2 dx

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Q: O:: Find the integration for the following functions: - (answer three only) In(x²+x)-Inx-elnx dx…

A: SOME RESULTS(FORMULAS): dlnxdx=1x dxndx=nxn-1 d(sin ax)dx=a cosx d(cos ax)dx=-a sinx ∫sinaxdx=-cos…

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: dx = cx – bx? dt

A: Variable separable method

Q: a) Integrate the following expressions with respect to x. Then, find the value of the function…

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Q: O: Find the integration for the fol dx 1-) sin(x)

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

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: 5πT sin' cos dx 4х 8.

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Q: 1 dx 1) Evaluate the integral sinh r

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

A: We have to find value of given integral.

Q: a) Evaluate the following Integration by parts for definite integrals. i) So xe-s*dx ii) 12 Sin-'dx

A: The given integration is  I) ∫01xe-5xdx II) ∫032sin-1xdx

Q: Q4: Solve the following integrals:- dx 4dx (1) S: (2) S: sec xesin x (3) S x sec? x dx 2+cos x

A: Note:-  As per our guidelines, we can answer the first three sub-parts of this problem. For the…

Q: COSI 1. dz 1+2 sin z

A: Antiderivarive

Q: Q2 Find the integral for the following : dx 1 1-5 2- fe-*sec? (ne-*)dx 3- S dx 2vx+2x 1+e*

A: We have to find the Integral for given expressions. 1. ∫dx/(2√x + 2x)  2. ∫e-x sec2(πe-x)dx  3.…

Q: 8) S-x+3 x2+x-2 dx

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Q: Evaluate the integral. 1 (x² + 3)e¯× dx 0.

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Q: Q2) Evaluate the integral x dx a -0.

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Q: Find the value of following the integral: ☎ COS²T -π1+a* S². dx,a>0

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

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Q: Find the indefinite integral.

A: ∫ exex+12dxSubstitute u =ex+1=∫ u2duApply the Power Rule:  ∫xadx=xa+1a+1,    a≠-1=u2+12+1Substitute…

Q: Use integration by parts to evaluate the integral. 6 3 e cos x dk 0

A: Given integral is

Q: 4. X x sin dx

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Q: Q4: Solve the following integrals:- dx (1) ſ; 4dx (2) S; (3) ſ x sec² x dx 2+cos x sec xesin x

A: Since you have posted multiple subparts question in this question so i have solved first three parts…

Q: Q2) Find the integral of: L*„6 tan*x dx 4

A: LetI=∫-π4π46tan4xdxTake the constant…

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

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Q: b) S x² Sin(x") dx 3

A: Given, ∫x3sinx4dx  We have to determine this integral .

Q: 12 Evaluate the integral e dx dy by reversing the order of integration. NOTE: Enter the exact…

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Q: (d) e" cos x dx

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

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Q: What will be the value of dx be, if v9- 4/5 is expressed in the form 5 - a, where both where a and b…

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

A: We need to find integral.

Q: Find or evaluate the integral. (Use C for the constant of integration.) sin(e) de 17 - 10 cos(e)

A: We  have to evaluate integral ∫sinθ17-10cosθdθ Substitute t=17-10cosθ…

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: d) S cos³x sin*x dx

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Q: Q /Find the next integral: (2m(E x)dx - h a

A: Given integral is 2h∫0EV2mE-vaxdx. We can write it as 22mh∫0EVE-vaxdx. Let  u=E-vax…

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

A: Given integral can be expressed as

Q: [2'e'dx X

A: Given

Q: Q;: Find the integration for the following functions: - (answer three only) In(x²+x)-Inx-e!nx 3-S-…

A: Given  1) The integration is  -∫π01-cos(2x)2dx .

Q: 70 (sinr cos r) dx T/2 sin a) dx

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Q: Q;: Find the integral for the following functions: - 1)Sdx V-2x+1 2) ſ e3se c(x), sec(x). tan(x) dx…

A: Now integrate the given function

Q: Sõlve the integral - In 3 x'e-*dx 2.

A: The given integral ∫0ln3x2e-xdx can be evaluated as, ∫x2e-xdx=x2×∫e-xdx-∫ddxx2×∫e-xdxdx+C…

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

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Q: 3. Find the integral: L,x*dx

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Q: -x+cos x Using appropriate substitution, the integral S dx is an e-x+sin x equal to:

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