1. Revision: say whether it is a proper or improper fraction, or a mixed number b. 2/2 2 } a. e. 2. Write an equivalent fraction for: a. 12/ b. 33 e. 22/ d. 63 c. 1 f. 2/1 c. 42/2 f. 24/ d. 5. C Exa 3. Add up the following, write it as a mixed number and simplify if necessary

Q: (I'o67 =7 %3D 2. of

A:

Q: 1 dx Vx2 – 9 35 0,

A:

Q: b.) (x +3) : =(x +2) %3D 215

A: Here we have to find the value x=?  13x+3=25x+2

Q: 1 dx V3x (3–9x)

A: To evaluate the given integral

Q: 22ニ」 dx ズ+ぞ

A:

Q: 1 dx (2x + 1)4

A: We will use concept of improper integral here.

Q: How does 2sec(t/2) is equal to 1/2sec(t/2)?

A:

Q: 4.x²e2" dx 2.21 4. (d)

A:

Q: dx 4. xv9+4x2

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

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: dy ー1

A: Given:

Q: 4 dx 16 + x2 -4

A: To find: The integration of ∫-44dx16+x2. Concept used: Integration formula: ∫dxa2+x2=1atan-1xa

Q: dx 2. メ+2

A:

Q: (2æ + 5)² dx

A:

Q: 3x? dx 2 + 4x

A:

Q: The amount of particulate matter left in solution during a filtering process is given by the…

A: We have find the amount of particulate matter left in the solution after 5 filtering steps

Q: 3 S x² √9-x² dx

A:

Q: S 9 x²+25 -dx

A:

Q: Find (2a° + 3x*) dæ + C

A: We evaluate given integral

Q: 2. fox" -4x dx 9x²

A:

Q: Evaluate Cxp*(1-p)^¯X for n = 4, p = 0.4, x = 3. n The answer is (Round to four decimal places as…

A:

Q: Sts dx 4+x4 4 4 V2

A: ∫54254  x4+x4dxlet   x2=t differntiate on both sides…

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

A: ∫e3xdx=

Q: 7) (3x* – 5)° . 36.x dx

A: 7) the given integral is (3x4-5)536x3 3) the given integral is (x3-2)-43x2.

Q: 1 -dx 8х — 24

A: ∫18x-24dx

Q: V25x² – 4 dx 8.

A:

Q: show that ē ** Jo(bx) dx = %3D 8.

A:

Q: dr 15. (4 – 2²)3/2

A: Topic = Integration

Q: 1 10. dx x² Vx² – 4 -

A:

Q: п/4 1 dx /4 – x² Jo

A: Use the trigonometry substitution and solve the integration.