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Integrate: int x^2 e^(2x) dx...

Integrate:
`int x^2 e^(2x) dx`

Text Solution

Verified by Experts

The correct Answer is:
`(e^(2x))/(2) {x^2 - x + 1/2} + c`.
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FULL MARKS-INTEGRAL CALCULUS-ADDITIONAL PROBLEMS
  1. Integrate: int x "cosec"^(2) x dx.

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  2. Integrate: int x cos 5x cos 2x dx

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  3. Integrate: int x^2 e^(2x) dx

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  4. Integrate with respect to x (sin^(-1)x) (e^(sin^(-1)x))/(sqrt(1 - x...

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  5. Integrate: int "cosec"^(3)x dx.

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  6. Integrate: int sec^2 2x dx

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  7. Integrate the following with respect to x. e^(2x) sin 3x dx.

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  8. Integrate the following with respect to x. e^x cos 2x

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  9. Integrate the following with respect to x. e^(3x) sin 2x.

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  10. Integrate the following. (i) 1/(16 - x^2) " " (ii) 1/(7 - (4x + ...

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  11. Integrate the following with respect to x. (i) 1/((2x + 1)^2 - 16) "...

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  12. Integrate the following with respect to x. 1/(sqrt(x^2 + 8x - 20))

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  13. Integrate the following with respect to 'x' : (2x - 1)/(2x^2 + x + 3...

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  14. Integrate the following with respect to 'x' : (4x + 1)/(x^2 + 3x + 1...

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  15. Integrate the following with respect to 'x' : (2x - 3)/(sqrt(10 - 7...

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  16. (6x + 7)/(sqrt((x -4)(x - 5)))

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  17. Integrate the following functions with respect to x. sqrt((x + 1)^2...

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  18. Integrate the following functions with respect to x. sqrt((2x + 1)^2...

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  19. Integrate the following functions with respect to x. sqrt(x^2 - 3x +...

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  20. Integrate the following functions with respect to x. sqrt(169 - (3x ...

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