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Evaluate the following integrals: (i) ...

Evaluate the following integrals:
(i) `intsin^(2)xdx` (ii) `intcos^(2)xdx`

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The correct Answer is:
(i) `(1)/(2)x-(1)/(4)sin2x+C` (ii) `(1)/(2)x+(1)/(4)sin2x+C`
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RS AGGARWAL-METHODS OF INTEGRATION -Exercise 13B
  1. Evaluate the following integrals: (i) intsin^(2)xdx (ii) intcos^(2)...

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  2. Evaluate the following integrals: (i) intcos^(2)(x//2)dx (ii) intcot...

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  3. Evaluate the following integrals: (i) intsin^(2)nxdx (ii) intsin^(5)...

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  4. int" cos"^(3)(3x +5) dx

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  5. Evaluate the following integrals: intsin^(7)(3-2x)dx

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  6. Evaluate the following integrals: (i) int((1-cos2x)/(1+cos2x))dx (ii...

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  7. Evaluate the following integrals: (i) int((1-cosx)/(1+cosx))dx (ii) ...

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  8. Evaluate the following integrals: intsin3xcos4xdx

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  9. Evaluate the following integrals: intcos4xcos3xdx

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  10. Evaluate the following integrals: intsin4xsin8xdx

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  11. Evaluate the following integrals: intsin6xcosdx

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  12. Evaluate the following integrals: intsinxsqrt(1+cos2x)dx

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  13. Evaluate the following integrals: intcos^(4)xdx

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  14. Evaluate the following integrals: intcos2xcos4xcos6xdx

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  15. Evaluate the following integrals: intsin^(3)xcosxdx

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  16. Evaluate the following integrals: intsec^(4)dx

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  17. Evaluate the following integrals: intcos^3xsin^(4)dx

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  18. Evaluate the following integrals: intcos^(4)xsin^(3)xdx

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  19. Evaluate the following integrals: intsin^(2//3)xcos^(3)xdx

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  20. Evaluate the following integrals: intcos^(3//5)xsin^(3)xdx

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