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Evaluate the integral int(0)^(1) x^(7...

Evaluate the integral
`int_(0)^(1) x^(7//2)(1-x)^(5//2) dx`

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Verified by Experts

The correct Answer is:
`(5pi)/(2048)`
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-DEFINITE INTEGRALS-Exersice -7(c)
  1. Find the value of the integral int(0)^(pi//2) sin^(4)x . cos^(4)x dx

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  2. Find the value of the integral int(0)^(pi) sin^(3)dx cos^(6) x dx

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  3. Find the value of the integral int(0)^(2pi) sin^(2)x cos^(4)x dx

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  4. Find the value of the integral int(-pi//2)^(pi//2) sin^(2) theta . ...

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  5. Find the value of the integral int(-pi//2)^(pi//2) sin^(3) theta. C...

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  6. Find the value of the integral int(0)^(a) x(a^(2)-x^(2))^(7/2) dx

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  7. Find the value of the integral int(0)^(2) x^(3//2)sqrt(2-x) dx

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  8. Evaluate the integral int(0)^(1) x^(5) (1-x)^(5//2)dx

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  9. Evaluate the integral int(0)^(4) (16-x^(2))^(5//2) dx

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  10. Evaluate the integral int(-3)^(3) (9-x^(2))^(3//2)x dx

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  11. Evaluate the integral int(0)^(5) x^(3) (25-x^(2))^(7//2) dx

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  12. Evaluate the integral int(-pi)^(pi) sin^(8)x cos^(7)x dx

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  13. Evaluate the integral int(3)^(7) sqrt((7-x)/(x-3))dx

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  14. Evaluate the integral int(2)^(6) sqrt((6-x)(x-2))dx

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  15. Evaluate the integral int(0)^(pi//2) tan^(5)x cos^(8)x dx

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  16. Evaluate the integral int(0)^(1) x^(7//2)(1-x)^(5//2) dx

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  17. Evaluate the integral int(0)^(pi) (1+cosx)^(3) dx

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  18. Evaluate the integral int(4)^(9) (dx)/(sqrt((9-x)(x-4)))

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  19. Evaluate the integral int(0)^(5) x^(2) (sqrt(5-x))^(7) dx

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  20. Evaluate the integral int(0)^(2pi) (1+cosx)^(5) (1-cosx)^(3) dx

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