Evaluate s -dxUsina 2' x+1x²+4

Q: 1. Integrate: [x³ sin(2x) dx.

A: As per Bartleby guideline, only the first question has been answered. If you want to get the answer…

Q: Find tan-1 x2 -dx using integration by parts.

A: Integral by parts

Q: give 3 examples of the reciprocal rule of integration formula

A: The reciprocal rule for the integration is: ∫f'(x)f(x)dx=ln |f(x)|+C

Q: max value for y

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Q: Integrate: S sin3x cos²x dx

A: The given integral is ∫sin3xcos2xdx

Q: Use integration by parts to verify the reduction formula.

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Q: dx

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Q: п/4 sec z dz

A: By using integration formula, we calculate the given integral.

Q: 4. fx(1-x) dx

A: We can find the integration as below.

Q: 14. √ √2-√x dx

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Q: Solve using variation OF patometert O reductian OF order CD-+)y= secx csc x csc X

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Q: - $x² cos(x³) dx

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Q: 2. COsh(4x)dx

A: We have to solve given integration

Q: 4(sinh 5. Evaluate 6 x) dx V1+x?

A: We use the well known formula for sinh^-1(x) = ln(x + sqrt(x^2+1)) and then integrate the…

Q: d arctan (tanh x) dx Show that sech 2.x.

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Q: Differentiate: F(y) (y + 9y°) yA - y?

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Q: find integral sqrt (1 - 4x 2 ) dx

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Q: integral of tan3xsec^4(3x) dx

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Q: Integrate: S sin³x cos³x dx

A: ∫tndt=tn+1n+1

Q: tanx 4) S Edx Cosxv1+secr 5) S(1- u)vudu

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Q: Find the indic ed derivative. dz x2 for z = x2 dx 1 - x - 2x2 dz dx

A: Formulas:

Q: Solve by Integrating Factor: y' = 1+3y cotx

A: The solution is given as

Q: ди ди x====u+Yay ?х

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Q: sec Vn du in

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Q: 3 dx V16-x²

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Q: 3 sinº x dx 4 Show that

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Q: Use an appropriate substitution to integrate 12 x*(x++ 1)°dx

A: The given integral is 12x3(x4+1)9.

Q: Integrate by Gaussian quadrature (n=3). dx Ji 1+x*

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Q: Use an appropriate substitution to integrate 24xcos(x2-2)dx

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Q: 4 + sinh(3x) = 4 cosh(3x).

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Q: Su+1 dn th-2

A: I =   ∫135x + 1x2 + x - 2dx    = ∫135x + 1x2 + x - 2dxWriting5x + 1  = A (2x + 1) +BOn solving , A…

Q: aluc of 4 alue of dx. 1+(x – 2)? 1

A: See the details solution in below

Q: Evaluate integral x^2e^-x^3 dx

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Q: 2. Use integration by parts to solve for [x³c x³ cosx dx.

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Q: integrate x^4cotx^5 dx from 0.4 to 0.8

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Q: Integrate | VE 1-4x² dx using a trigonometric substitution.

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Q: Integrate: Jez sin(3x) dx

A: Solve the integration by substitution method

Q: for dx

A: Given integration is : ∫exdx To find the value given integration by parts.

Q: tan Find -dx using integration by parts.

A: Given integration ∫tan-1xx2dx

Q: (0.2t25x+3x²) dx

A: We have to find the value of ∫050.2+25x+3x2dx using the Trapezoidal rule We take that the number of…

Q: Integrate (tanx)^3(secx)^3

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Q: (7 – siny)y' = 3x2 + 2x

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Q: Jcos" (3x) sin (3x)dx in' (3x)dr

A: topic - integration

Q: - S sech-x tanh x dx 1 2 2

A: From the given problem: I=∫sech12x tanh12x dx=∫sechx2 tanhx2 dx....1 As we know that:…

Q: sin 2x dx 4. J2osin cosmetin2xdx

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Q: 4. Evaluate x sin2x dx Integration by parts

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…