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Evaluate the following integrals (v) ...

Evaluate the following integrals
(v) `int_(0)^(a)(sqrt(a)-sqrt(x))^(2)dx`

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The correct Answer is:
`(a^(2))/(6)`
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AAKASH SERIES-DEFINITE INTEGRALS-Exercise 2.2 (Level-1)
  1. Evaluate the following integrals (iii) int(2)^(3)(2x)/(1+x^(2))dx

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  2. Evaluate the following integrals (iv) int(0)^(4)(x^(2))/(1+x)dx

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  3. Evaluate the following integrals (v) int(0)^(a)(sqrt(a)-sqrt(x))^(2...

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  4. Evaluate the following integrals (vi) int(0)^(1) (1)/(sqrt(x+1)+sqr...

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  5. Evaluate the following integrals int(0)^(1)(x^(2))/(1+x^(2))dx

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  6. Evaluate the following integrals (viii) int(0)^(3) (x dx)/(sqrt(x^(...

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  7. Evaluate the following integrals int(0)^(2) sqrt(4-x^(2)) dx

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  8. Evaluate the following integrals (x) int(pi/6)^(pi/3)cot^(2) x dx

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  9. Evaluate the definite integrals . underset(0)overset(pi)int sqrt(2+2...

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  10. underset(0)overset(2)int |1-x| dx

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  11. Evaluate the following integrals (iii) int(0)^(pi/4) (1+ sin 2 x)/...

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  12. Evaluate underset(1)overset(4)int x sqrt(x^(2)-1) dx

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  13. Evaluate the definite integrals . underset(0)overset(1)int (dx)/(sqr...

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  14. Evaluate the definite integrals . I=underset(1)overset(5)int (dx)/(s...

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  15. Evaluate underset(0)overset(16)int (x^(1//4))/(1+x^(1//2))dx

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  16. int(0)^(1)(2x+3)(sqrt(3-2x))dx

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  17. int(0)^(1) x e^(-x^(2))dx

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  18. Evaluate the integrals . underset(-1)overset(2)int (x^(2))/(x^(2)+2...

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  19. Evaluate the following integrals (i) int(0)^(pi/2) x cos x dx

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  20. int(0)^(sqrt(e)) x log x dx

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