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Evaluate the definite integrals . int(...

Evaluate the definite integrals .
`int_(0)^(a) (a^(2)x-x^(3))dx`

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The correct Answer is:
`(a^(4))/(4)`
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-DEFINITE INTEGRALS-Exercise -7(b)
  1. Evaluate the definite integrals . int(0)^(a) (a^(2)x-x^(3))dx

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  2. Evaluate the definite integrals . int(2)^(3) (2x)/(1+x^(2))dx

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  3. Evaluate the definite integrals . int(0)^(pi) sqrt(2+2cos theta )d t...

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  4. Evaluate the definite integrals . int(0)^(pi) sin^(3)x .cos^(3)x dx

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  5. Evaluate the definite integrals . int(0)^(3) |1-x|dx

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  6. Evaluate the definite integrals . int(-pi//2)^(pi//2) (cosx)/(1+e^(x...

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  7. Evaluate the definite integrals . int(0)^(1) (dx)/(sqrt(3-2x)

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  8. Evaluate the definite integrals . int(0)^(a) (a+x-2sqrt(a) sqrt(x))d...

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  9. Evaluate the definite integrals . int(0)^(pi//4) sec^(4) theta d the...

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  10. Evaluate the definite integrals . I=int(0)^(3) (x)/(sqrt(x^(2)+16)dx

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  11. Evaluate the definite integrals . I=underset(0)overset(1)int x. e^(-...

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  12. Evaluate the definite integrals . I=int(1)^(5) (dx)/(sqrt(2x-1))

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  13. Evaluate the integrals . I=int(0)^(4) (x^(2))/(1+x)dx

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  14. Evaluate the integrals . int(-1)^(2) (x^(2))/(x^(2)+2)dx

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  15. Evaluate the integrals . I=int(0)^(1) (x^(2))/(x^(2)+1)dx

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  16. Evaluate the integrals . int(0)^(pi//2) x^(2) sinx dx

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  17. Evaluate the integrals . int(0)^(4) |2-x|dx

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  18. Evaluate the integrals . int(0)^(pi//2) (sin^(5)x)/(sin^(5)x + cos^...

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  19. Evaluate the integrals . int(0)^(pi//2) (sin^(2)x-cos^(2)x)/(sin^(...

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  20. Evaluate the limit. lim(n to oo) (sqrt(n+1)+sqrt(n+2)+……..+ sqrt(n+...

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