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Prove that underset(-a)overset(a)intsqrt...

Prove that `underset(-a)overset(a)intsqrt((a-x)/(a+X))dx = a pi`

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

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  2. Evaluate the following integrals :underset(pi//4)overset(pi//2)intcos2...

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  3. Prove that underset(-a)overset(a)intsqrt((a-x)/(a+X))dx = a pi

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  4. Evalaute: underset(0)overset(1)intx(tan^-1x)^2dx

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  5. Evaluate int(cosx)/((1-sinx)(2-sinx)) dx

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  6. Evaluate: underset(0)overset(pi//4)int sin^3 2t cos 2t dt

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  7. Evaluate the following integrals: underset(0)overset(1.5)int[x] dx, ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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