2, .cos' xdx 12. 2

Q: S(sin5 2x) (cos 2x)dx

A: To solve this integral, a certain substitution is done. The substitution of sin2x=u is taken and…

Q: raluate the following indefinite integral. Ssin x sin2.x dx

A:

Q: Evaluate the following definite Integrals by using Gamma or Beta Functions: f¹[V√2x In (√x)]³dx CS…

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Q: Evaluate the following integrals Sఊ dx ユーメ~arc Sinx

A: d(arc sin(x))dx=11-x2 ∫1xdx = ln(x)+C

Q: 20.| sin³ }xcos" xdx

A:

Q: Evaluate the following integrals sin³ (x) cos³(x) dx

A: Given ∫sin3xcos3xdx

Q: Evaluate the following integrals. 1. S sin*(2x) dx

A: As per bartleby guidelines we only give first question answers.

Q: Evaluate the following definite integral: dx = 12

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Q: 1 sin Tx cos TIx dx 0,

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Q: Approximate the following integrals using Gaussian quadrature with n = 3 and compare your answers to…

A: Given ∫01x2e-xdx

Q: Evaluate the following integrals.

A:

Q: 9 arccos(9x) dx V1 – 81x²

A: Given: An indefinite integral ∫9 cos-1(9x)1-81x2dx This integral can be solved by the substitution…

Q: cosx dx sinx +1

A: SolutionGiven∫cos xsin x+1 dxwe need to find the integration of the above

Q: Find the value of the positive integer A so that: In A 1 sinh x dx 4 Jo

A: ∫0lnA sinhx=14 coshx0lnA=14 coshlnA-coshln1=14 coshlnA-cosh0=14 coshlnA-1=14 coshlnA=14+1…

Q: Find a bound for the error in the approximation M20 to the given integral (but do not calculate…

A: The given integral is ∫0π35cos(x)dx. To find the bound in error use the midpoint  rule which is…

Q: Evaluate the following integrals. (a) /* sin(x)dx

A: Goven : Inetrgal ( x2 sin(x))dx

Q: LEvaluate the following integrals. +vã )²dx 1.

A: 1. To evaluate the integral: ∫2+x2dxx Solution: Let substitute t=2+x. Differentiating with respect…

Q: S cos 2x dx

A:

Q: 1 dx (sinhx+coshx)²

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Q: Evaluate the following integrals and check by differentiation: 1. J cos 4 x dx. 2. J 5 sec2 2x dx.…

A: As per our company guidelines we are supposed to answer only first three sub-parts. Kindly repost…

Q: Evaluate the following integrals. 1. sec-a dæ cos Va dx Væ csc /æ 2. x2 dx - 3.

A: Integration by parts

Q: Evaluate the following indefinite integral. dx

A: Here is the solution

Q: ) 1 1 dx x – 1

A:

Q: ) Evaluate the following Integration by parts for definite integrals. S 12 Sin-'dx

A:

Q: Determine the following indefinite integral. /) dx ,9 dx =

A: Given:                      ∫x5-x95dx               =∫x52-x95dx              =∫x52dx-∫x95dx…

Q: Find cosh r In(sinh a)dr.

A:

Q: 7/2 tan x dx 0,

A: We need to evaluate the integral:∫0π2tanx dx

Q: | cos 3xcos 4.xdx 14.

A:

Q: Evaluate the following integral arctan x dx

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Q: EVALUATE THE INTEGRAL

A:

Q: 35 sin* xcos' xdx 13.

A: Given integral can be evaluated as shown below by using integration formulas

Q: Evaluate the following integrals.

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Q: (12 3 sec* 3xdx 15.

A:

Q: use an appropriate substitution and then a trigonometric substitution to evaluate the integrals.

A:

Q: dx

A:

Q: S sin x dx dx

A: 1. ∫0∞sinxdx     [-cosx]0∞ -[cos(∞)- cos(0)]ans =1 2. ∫0∞dxx(x+1)dx Substitute u=√x ⟶ du/dx=1/2√x…

Q: Evaluate the following definite integrals.

A: I =  ∫01xsinπx.dx  ................(1)we know ∫abf(x).dx = ∫abf(a+b-x).dx

Q: Evaluate the following integral by using the substitution method sinyw dw

A:

Q: use an appropriate substitution and then a trigonometric substitution to evaluate the integrals.

A: use an appropriate substitution and then a trigonometricsubstitution to evaluate the integrals.

Q: The definite integral sec (4x)e dx is equal to:

A:

Q: Evaluate the following improper integral or state that it diverges. 3 cos () dx

A: ∫2∞3cosπxx2dx=limk→∞∫2k3cosπxx2dx   Let, u=πxdu=-πx2dxdx=-x2πdu

Q: Determine the following integrals by using (IF) S(sech?(cosh30)sinhg do

A:

Q: sin x dax. ) cosa x

A: The given integral is ∫sinxcos2xdx. Let u=cosx, then du=-sinxdx. Substitute u=cosx and du=-sinxdx in…

Q: Evaluate the following integral by using the substitution method sinyw dw Vw

A: To evaluate the integral

Q: Evaluate the following Integrals dx cosx 5+ +anx X.

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Q: vi. Sz sin³ x cos20 x dx 2

A:

Q: sec{s)ds

A: We know, ∫abf(x) dx = ∫abf(a+b-x) dx

Q: Evaluate the following integrals. S(sin(4x) + cosh(3x))dx

A: