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Evalute the following integrals int x^...

Evalute the following integrals
`int x^(3) (4 + x^(2))^(2) ` dx

Text Solution

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The correct Answer is:
`4x^(4)+ (4x^(6))/(3) +(x^(8))/(8) + c `
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AAKASH SERIES-INDEFINITE INTEGRALS -MISCELLANEOUS QUESTIONS
  1. Evalute the following integrals int (x^(3) - 1)/(x^(2)) dx

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  2. Evalute the following integrals int (3x - 4) (x - 2) dx

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  3. Evalute the following integrals int x^(3) (4 + x^(2))^(2) dx

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  4. Evalute the following integrals int (1)/(x sqrt(x)) dx

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  5. Evalute the following integrals int e^(2 log x) dx

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  6. Evalute the following integrals int 7 e^(x) dx

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  7. Evalute the following integrals int ( sin x + cos x ) dx

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  8. Evalute the following integrals int tan^(2) x dx

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  9. Evalute the following integrals int (1)/(1 - cos x) dx

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  10. Evalute the following integrals int (sin^(2) x)/(1 + cos x) dx

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  11. Evalute the following integrals int (1 - cos 2x)/(1 + cos 2x) dx

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  12. Evalute the following integrals int (cos^(2) x)/(1 - sin x) dx

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  13. int (1+sin^(2)x)/(1+cos 2x)dx=

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  14. Evalute the following integrals int (1)/(cos x sin^(2) x) dx

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  15. Evaluate the integerals. int (cos x + sin x)/(sqrt(1+sin 2x))dx on...

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  16. Evalute the following integrals int (sin 2x)/((a + b cos x )^(2)) d...

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  17. Evalute the following integrals int (cos 6x - cos 4x)/(sin 6x - sin...

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  18. Evalute the following integrals int (dx)/(sin x + sin 2x )

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  19. Evaluate the integerals. f sin mx sin nx dx on R, m ne n, m and n ...

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  20. Evalute the following integrals int cos mx cos nx dx

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