Express the integral in terms of the variable u, but do not evaluate it. rel6 In x - dx; u = In x e9 16 rel6 In x In(x) dx du %3D e9

Q: Evaluate 3 | ((2 – 1)32, (3 + t)2, 1)dx. 3/2 3/2 -3

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Q: dx 5x. J 75V9x² – 1

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Q: > Evaluate the Antegral dx ax45x +2

A: Rewrite the given integrand as follows. 32x2+5x+2=32x+1x+2=22x+1-1x+2

Q: 6 dx. 1+ 9x2 Calculate

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Q: Evaluate f(4 – 3x)³ dr

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

Q: dx 4. xv9+4x2

A: Method:- I  use Trigonometry substitution method to solve the given integral

Q: Calculate 2 3x-2x²+2 dx. 13 -1

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Q: dx 6. 4+ 5сosx

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Q: dx L2 exp %|

A: Given integral is I=∫-∞∞e-x2L2dx This type of integral cannot be done using elementary integration…

Q: Evaluate dx 2 1-x

A: We have to evaluate ∫23x1-xdx. We know that ∫dxx2-a2 = 12aln x-ax+a+C

Q: 2 dx 8x + 9

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

Q: •B Find 2xVx- 5 dx, where B > 3.

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Q: 3. Evaluate 5 sin rdr

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Q: Integrate x² √6 +25 1 dx + C

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Q: Evaluate I = / a*. g³ Vx² – 3 dx

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Q: Compute 3+r+1 dx x2

A: Given : ∫233x2+2x+1x2dx

Q: Show that: -1 xb-1 In x dx b2 2-

A: we use integration by parts

Q: -dx x +1 2 5.

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Q: Eveleate inter ssin(2x) dx

A: We can find the integration as below.

Q: 2. Evaluate. (Зx* - 2х + 1)dx -2

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Q: Evaluate the integral. Answer= +C -22e-30 e2x + 6e +5 12276 -da

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Q: 2 dx Evaluate J xvx4 + 25

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Q: Evaluate. 4 ' - 6Vx +x 3 dx - 6x +x 3 dx =

A: We have to evaluate the given integral. Please recall the famous rule of integration: Integral of…

Q: 1 I. 1+ Vx xp:

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Q: d 0.6 56. 2.8x -3. dx

A: Differentiate