8. 6. So S1²= 1 1-x² √1- کریم x 1+x² dx dx

Q: x + 5 dx 0. 6.

A: Question from definite integration.

Q: An RC circuit with a 100 Q resister and a 10^(-2) F capacitor is driven by a voltage…

A:

Q: 9. f²-2x(3x - 1) dx

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Q: 6 5 2 2 Compute √(√x² + ²-3 + cse²x)dx.

A:

Q: 7. Find 3 So 1 X x5/2 + x3/2 -dx

A:

Q: S, 53-2x dx -2

A: 4 Given  ∫-22  53-2x  dx

Q: (x² (а3 — 2)da 4x +

A:

Q: 53. Evaluate 3 dx x5/4 - 4x3/4*

A:

Q: -9 dx (3x + 1)² 1

A: Solution: ∫1∞-9(3x+1)2dxTake the constant out=-9×∫1∞1(3x+1)2dx

Q: 18. Find xV4x -3 dx 18. SxV4x - 3 dx

A: Use substitution to solve

Q: 2. S (x * - x³ -3x) dx V4

A: Explanation of the answer is as follows

Q: (2x+2x2-2x-1 dx x2 +x

A:

Q: 2. S 1 dx | (2x + 1)3

A:

Q: 1. L= V1 + 16x6 dx

A: First, we factor out 16 from the radical term, So, it becomes,

Q: 3 5x3 4 6 /x ) dx Find - x4

A:

Q: 3 -x Evaluate dx

A: Given : ddxe3x3-x2

Q: Jo 1 (x+8)5/3 dx

A: Since you have posted multiple questions, we will solve the first question for you. If you want any…

Q: 24. S 3x² x + 8 x³ + 4x 3 dx

A:

Q: S5x sec?x dx 5.

A:

Q: 6) Evaluate 0.8 1 0 dx 4x² +4

A:

Q: 2.1 Evaluate f xvx +5dx (10 marks)

A: Given that   xx+5 dx Substitute u=x+5 →dudx=1  and x=u-5 ∫xx+5 dx=∫u-5 u du…

Q: 5. L.V4– 2x dx dx 5x+2 6.

A: Topic = Integration

Q: 6. 22x+x dx 5. f 22x

A:

Q: 3/41 x² 3/5 √2x³-1 dx.

A: Consider

Q: 1 x² +5 -dx 3√x

A: We need to find ∫x12+5x3dx

Q: 1. y 10 – 2x6 dx

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Q: 2. x x+4 dx

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Q: x² + da

A: Evaluate ∫x-1x2x2+255dx=?

Q: 47. 27 fx-VI+x-4 dx × 7.60306

A: To show 2π∫13x-11+x-4dx≈7.60306

Q: 8. ²2(2x + 1) dx

A:

Q: Find / 5x dx

A: ∫Axndx =A(xn+1n+1)+C, where C is integration constant.

Q: Si dx 2 x² - 4x+8

A: