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prove intsqrt(a^2-x^2) dx = x/2sqrt(a^2-...

prove `intsqrt(a^2-x^2) dx = x/2sqrt(a^2-x^2)+(a^2)/(2)sin^-1(x)/(a)+c`

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intsqrt(a^2+x^2) dx = (x)/(2)sqrt(a^2+x^2) + (a^2)/(2) log|x+sqrt(a^2+x^2)|+c

Prove that : d/dx[x/2sqrt(a^2-x^2)+(a^2)/(2)sin^-1(x/a)]=sqrt(a^2-x^2)

prove int(dx)/(sqrt(x^2-a^2)) = log|x+sqrt(x^2-a^2)|+c

int(1)/(sqrt(a^2+x^2))dx=log|x+sqrt(a^2+x^2)|+c

int(1)/(sqrt(a^2-x^2))dx = sin^-1(x/a)+C

int (2x)/sqrt(1-x^2-x^4) dx=

intsqrt(x^2-a^2)dx=(x)/(2)sqrt(x^2-a^2)-(a^2)/(2) log |x+sqrt(x^2-a^2)|+c

Evaluate: intsqrt(2x^2+3x+4)\ dx

MODERN PUBLICATION-INTEGRALS-EXERCISE
  1. prove intsqrt(a^2-x^2) dx = x/2sqrt(a^2-x^2)+(a^2)/(2)sin^-1(x)/(a)+c

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  2. For the following (1-4) different results,Write the corresponding inte...

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  3. For the following (1-4) different results,Write the corresponding inte...

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  4. For the following (1-4) different results,Write the corresponding inte...

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  5. For the following (1-4) different results,Write the corresponding inte...

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  6. For the following (1-4) different results,Write the corresponding inte...

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  7. For the following (1-4) different results,Write the corresponding inte...

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  8. For the following (5-7) different results,Write the corresponding inte...

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  9. For the following (5-7) different results,Write the corresponding inte...

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  10. For the following (5-7) different results,Write the corresponding inte...

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  11. Find an anti derivative (or integral) of the following functions by th...

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  12. Write an anti derivative for each of the following functions using the...

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  13. Find an anti derivative (or integral) of the following functions by th...

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  14. Find an anti derivative (or integral) of the following functions by th...

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  15. write down the integrals of the following (9-15) : x^4+x^-5

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  16. write down the integrals of the following (9-15) : 1/x*x !=0

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  17. write down the integrals of the following (9-15) : x+1/x*x !=0

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  18. Find the following integrals: int (x^(2/3) +1)dx

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  19. write down the integrals of the following (9-15) : (3/sqrtx+5x^4) .

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  20. write down the integrals of the following (9-15) : cos2x

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  21. Find the following integrals: int (sinx+cosx)dx

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