dx Using half-angle substitution, the integral reduces to 3+ Scosx dz A dz B dz 422-1 2 dz D 322+ 10z+3

Q: (2+3x)2 dx

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Q: 2. メ+ 2x

A: I have given an answer in step 2.

Q: 6 dx. 1+ 9x2 Calculate

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Q: dx 4. 8 + 2r2

A: The solution of the problem is given in the next step.

Q: Evaluate f(4 – 3x)³ dr

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

Q: 6x4-5x3 +4x2 - 3x + 27 dx. Find 2x2

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Q: Calculate 2 3x-2x²+2 dx. 13 -1

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Q: dx 6. 4+ 5сosx

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Q: dx Vx + a + Vx + b

A: Given: The integral is ∫xx+a+x+bdx

Q: (2æ + 5)² dx

A:

Q: 2 dx 8x + 9

A: To find the value of given integration  We use some basic results of integration and substitution

Q: 3x? dx 2 + 4x

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Q: dx 4x2- 4x+5

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Q: 5. (2x + 3V )dx 2х + 3уx

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Q: 2vx2 2 dx

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Q: V25x² – 4 dx 8.

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Q: -dx x +1 2 5.

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Q: dx. 6. Evaluate: 2x - 1 -1

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Q: dy 9x2 + 5 dx ,2

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Q: 1 3. Evaluate dx, using substitution method. 2

A: The given integral is: ∫1xx+12dx I=∫1xx+12dx    -1

Q: 1 dx Va? – 6x + 34 Find -

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Q: Vx - 2 dx 5 x + 1)

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Q: Vx2 – 4 d.x 3.

A: Please refer the attached image for complete solution.

Q: 2 dx Evaluate J xvx4 + 25

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Q: Divide 8r*y – 10x*y³ + 12x²y³ by 4.r°y?.

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Q: 3. Evaluate ry? dz dr dy.

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Q: 2x 2) x +9

A: Given problem:- ∫042xx2+9dx

Q: dx Vx4 – 2x² + 1 3,

A: