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Evaluate the following integrals :unders...

Evaluate the following integrals :`underset(0)overset(pi//2)int(dx)/(a cos x + b sin x), a , b > 0`

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MODERN PUBLICATION-INTEGRALS-EXERCISE
  1. Prove that underset(0)overset(2)intx^2sqrt(2-x)dx= (128sqrt2)/(105)

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

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

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  4. Evaluate the following integrals :underset(0)overset(pi)int(dx)/(3)

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

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  6. Evaluate the following integrals :underset(0)overset(pi//4)int(sinx+Co...

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  7. Evaluate the following integrals :underset(0)overset(pi//2)int(sin2x)/...

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  8. Evaluate the following integrals :underset(0)overset(pi//4)int(sinx+co...

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  9. Evaluate the following integrals :underset(0)overset(pi//4)int(sinx.co...

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

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  11. Evaluate the following integrals : underset(0)overset(1)intcos^-1((1-x...

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  12. Evaluate the following integrals :underset(0)overset(1)inttan^-1((2x)/...

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

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

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

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  16. Evaluate the following integrals :underset(0)overset(1)int(tan^-1x)/(1...

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

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

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

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

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