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int(0)^(pi//2)(sqrt(cosx)/(sqrt(sinx)+sq...

`int_(0)^(pi//2)(sqrt(cosx)/(sqrt(sinx)+sqrt(cosx)))dx` is equal to

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int_0^(pi/2) sqrt(sinx)/(sqrtsinx+sqrtcosx)dx is equal to :

Show that : int_(0)^(pi/2)sqrt(sinx)/(sqrt(sinx)+sqrt(cosx))dx=pi/4 .

MODERN PUBLICATION-INTEGRALS-EXERCISE
  1. Evaluate the following integrals: underset(0)overset(pi//2)int(cosx)...

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  2. Evaluate the following integrals: underset(0)overset(pi//2)int(sqrt(...

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  3. int(0)^(pi//2)(sqrt(cosx)/(sqrt(sinx)+sqrt(cosx)))dx is equal to

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  4. Evaluate the following integrals: underset(0)overset(pi//2)int(dx)/(...

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  5. Evaluate the following integrals: underset(0)overset(pi//2)int(dx)/(...

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  6. Evaluate the following integrals: underset(0)overset(pi//2)int(1)/(1...

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  7. Evaluate the following integrals: underset(0)overset(pi//2)int(sqrt(...

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  8. Evaluate the following integrals: underset(0)overset(pi//2)int(sin^(...

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  9. Evaluate the following integrals: underset(0)overset(pi//2)int(sin^3...

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  10. Evaluate the following integrals: underset(0)overset(pi//2)int(sin^4...

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  11. Evaluate the following integrals: underset(0)overset(pi//2)int(cos^5...

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  12. Evaluate the following integrals: underset(0)overset(pi//2)int(sin^5...

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  13. Evaluate the following integrals: underset(0)overset(pi//2)int(sin^7...

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  14. Evaluate the following integrals: underset(0)overset(pi//2)int(cos^7...

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  15. Evaluate the following integrals: underset(0)overset(a)int(sqrtx)/(s...

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  16. Evaluate the following integrals: underset(0)overset(5)int(sqrtx)/(s...

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  17. Evaluate the following integrals: underset(0)overset(pi/2)int(dx)/(x...

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  18. Evaluate the following integrals: underset(0)overset(2)intxsqrt(2-x)...

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  19. Evaluate the following integrals: underset(0)overset(1)intx(1-x)^ndx

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  20. Evaluate the following integrals: underset(pi//6)overset(pi//3)int(d...

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