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Evaluate each of the following integral:...

Evaluate each of the following integral: `int_(-pi//2)^(pi//2)sin^3x\ dx`

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Let `I=\int_{-\pi / 2}^{\pi / 2} \sin ^{3} x d x`
`f(x)=\sin ^{3} x `
`f(-x)=\sin ^{3}(-x)=-\sin ^{3} x`
...
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RD SHARMA-DEFINITE INTEGRALS-Solved Examples And Exercises
  1. Evaluate each of the following integral: int0^(pi//2)sin^2x\ dx

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  2. Examples: int(-pi/2) ^(pi/2) sin^2x dx

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  3. Evaluate each of the following integral: int(-pi//2)^(pi//2)sin^3x\ dx

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  4. Evaluate each of the following integral: int0^(pi//4)tan^2x\ dx

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  5. Evaluate each of the following integral: int(-2)^1(|x|)/x dx

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  6. Evaluate each of the following integral: int0^4 1/(sqrt(16-x^2))dx

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  7. Evaluate: int0^(pi//2)sqrt(1-cos2x)dxdot

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  8. Evaluate each of the following integral: int0^(pi//2)log((3+5cosx)/(3+...

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  9. Evaluate each of the following integral: int0^picos^5x\ dx

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  10. Evaluate each of the following integral: int(-1)^1x|x|dx

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  11. Evaluate the following definite integral: int0^1 1/(1+x^2)dx

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  12. Evaluate each of the following integral: int2^3 1/x dx

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  13. Evaluate each of the following integral: int0^1(2x)/(1+x^2dx)

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  14. Evaluate each of the following integral: int0^(pi//4)sin2x\ dx

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  15. Evaluate each of the following integral: int0^(pi//2)cos^2x\ dx

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  16. Evaluate each of the following integral: int(-pi//2)^(pi//2)cos^2x\ dx

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  17. Evaluate each of the following integral: int(-pi//2)^(pi//2)x\ cos^2x\...

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  18. Evaluate the following definite integral: int0^(1/2) 1/sqrt(1+x^2)dx

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  19. Evaluate each of the following integral: int0^ooe^(-x)dx

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  20. Evaluate each of the following integral: int0^3 1/(x^2+9)dx

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