Combine the technique of completing the square with a trignometric substitution to evaluate the following integrals. 1 34. dx x²-6x 35. 5. / x² + 2 x + 5 da 1 dx

Q: Evaluate Sdx dx where A = 5x²-3x+2 and B = x³ - 2x². B

A: Evaluatedxwhere A = 5x2-3x+2B = x3-2x2i.e.

Q: 2x dx 2. J 25x2+7

A: To determine:

Q: 8. Evaluate S dx x4+x² + 1

A: To find:- ∫0∞dxx4+x2+1dx

Q: Stan5 x sec³ x dx

A:

Q: Evaluate∫cos 6x dx without using the substitution method.

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Q: Integrate: 6 4 / ( 62² + 5 = = 2 + + 7/12 - 02/1) dz - dx I + C

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Q: Which is NOT included in evaluating the integral? (Use partial fraction decomposition method.) 4 2x…

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Q: :2 ¡dx 4

A:

Q: X tangent line 2.00 m 35.00 m 35.00 m

A: Let the length MY is y, so the radius of the circle is (2+y). Now apply the Pythagoras theorem,…

Q: Evaluate f(4 – 3x)³ dr

A: The integration of the (4-3x)3 and limit from 1 to 2.

Q: Evaluate dx. /25 – x²

A: First of all, let x = 5 sin (u) and differentiate w.r.t x on both sides of the equation and find dx.

Q: 14. Evaluate. dx xvx2-1

A:

Q: 32. Į 9** x? dx

A: To Determine: find the integration  Given: we have an integral ∫9x3x2dx Explanation: we have an…

Q: sin(x) y + ycos(x) = 0 dy dx

A:

Q: Solve for y in two ways. у'+ 16ху %3D х

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Q: 13. Se"dx = %3D 3a41 re +k. 3x+1 B 3e" + k. A c+k. 3x te +k.

A: ∫e3xdx=

Q: Reduce. bounday the value problem %3D to Fredholm integral equation

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Q: Find dy. y = 33 + 10x4 – 5x5 dy = (Simplify your answer.)

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Q: cV9-x² ¢V9¬x² dz dy dx

A: Explanation of the answer is as follows

Q: 9. 3 + 5x + 4 dx Find 26 3 + 5x + 4) dx x6

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Q: Find the area blw y=5-4x and -x2+45 round answSer to 2 decimal places

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