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If underset(0)overset(a)intsqrt(x)dx = 2...

If `underset(0)overset(a)intsqrt(x)dx = 2a underset(0)overset(pi//2)intsin^3 x dx`. Find `underset(a)overset(a+1)intx dx`

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underset0 overset(pi//2)int sin^2x dx .

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If underset0oversetaint sqrtx dx=2a underset0overset(pi//2)int sin^3xdx , evaluate undersetaoverset(a+1)int xdx

For each of the following functions f(x), verify that: underset(0)overset(0)intf(x) dx = underset(0)overset(1)intf(x) dx + underset(1)overset(2)intf(x) dx: f(x) = x+2

For each of the following functions f(x), verify that: underset(0)overset(0)intf(x) dx = underset(0)overset(1)intf(x) dx + underset(1)overset(2)intf(x) dx:f(x) = e^x

For each of the following functions f(x), verify that: underset(0)overset(0)intf(x) dx = underset(0)overset(1)intf(x) dx + underset(1)overset(2)intf(x) dx: f(x) = x^2+2

underset0overset1int xlog(1+2x)dx

Prove that : underset(0)overset(2a)intf(x) dx = underset(0)overset(2a)intf(2a-x)dx

Evaluate: underset(0)overset(pi//2)intlog cos x dx

MODERN PUBLICATION-INTEGRALS-EXERCISE
  1. If underset(0)overset(a)intsqrt(x)dx = 2a underset(0)overset(pi//2)int...

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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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