Evaluate the following integral using integration by parts. In x 19 X dx Use the integration by parts formula so that the new integral is simpler than the original one. Choose the correct answer below.

Q: Evaluate f (5+ln æ)? -dx. Give your answer as a simplified fraction if necessary. The value of the…

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Q: Integration of Algebraic Functions By trigonometric Substitution dx 6. S x²√4-x² dx 7. S- √81+x² X…

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Q: r2V2 Vx2-4 dx

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Q: #2.) S sec secx tanx sinx (secx) dx

A: we need to find out the integration.

Q: 2. Evaluate the following integrals: (a) - (x +1)?* dx (b) xVx -1 1xV

A: (a) Given:  ∫-∞∞xx2+12dx Let say,   x2+1=u⇒2xdx=du⇒xdx=du2. Therefore, ∫xx2+12dx=12∫u-2du=-12u+C  ,…

Q: If 1 p(u)du = 22 3 and 8 p(u)du = 5.2 what does the following integral equal? p(u)du = %3D

A: We break the limit -3 to 8 into two parts one is from -3 to 2 and second from 2 to 8.

Q: KIN 플 (sin³x)√1 + cos x dx

A: The given integral is ∫π2π(sin3x) 1+ cos xdx We will use substitution method to solve this. Let…

Q: (7) sin √x dx. (First substitution, then by parts)

A: The solution for the given integral is as follow.

Q: Perform the following integrations: 9. 10. dx

A: To evaluate the given integral.

Q: Complete the table to find the indefinite integral. (Use C for the constant of integration.)…

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Q: Solve for the following integral: 1 -dx (e2x – 4)5/2

A: I=∫1(e2x-4)52  dxu=-2xdx=-12 duI=-12 ∫due-u-452v=e-u −4dv=-e-u du-dv(v+4)=duI=12∫1v52 (v+4) dv

Q: 00 dx 1 3 x³ (x²-9)Z x2.

A: Let I is the value of given Integral.

Q: (b) S dx x³ ln(x) (c) For this part, completing the square (and showing each step in that process)…

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Q: 1. Do the integration by substitution for the following integral and find the value of definite…

A: We have to find the given integral value.