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

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:

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A: Given: To find: The derivative of the given function.

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A: The given integral is

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A:

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A:

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: 7. ₁²5(5x - 3)² dx

A: Here we have to find the definite integral.

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

A:

Q: 2x3+2x2-2x-1 dx x2+x

A:

Q: -| Vx³ + 16x² dx

A: Let I=∫x3+16x2 dx I=∫xx+16 dx Let assume x+16=t2⇒dx=2t dt I=∫(t2-16)t(2t) dt =2∫(t4-16t2)dt

Q: 5. L.V4– 2x dx dx 5x+2 6.

A: Topic = Integration

Q: 1. (a) Determine + 2x2 dx (b) Determine + 2x2 dx

A:

Q: 1 dx x² + 6x + 9

A: We have to evaluate the integral: ∫1x2+6x+9dx Rewriting the integral,…

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

A:

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A: We need to find ∫x12+5x3dx

Q: 10. Evaluate (4x-8)ex²-4x+3 dx

A:

Q: 2. x x+4 dx

A:

Q: /6- х2 dx

A:

Q: 6. x22x3 - 1 dx

A:

Q: (5) Evaluate 75 2x -dx. 5x8

A:

Q: 2. dx ***S 1 - x4

A: Integral

Q: 5. Comparison Test Determine whether the following integrals converge or diverge. dx

A:

Q: 10 ii) J1 x(10+lnx)3 dx

A:

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.ſ(8x³ − 6x² + 12x − - -9)dx

A: Solve the integration