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

Examples: `int_(-pi/2) ^(pi/2) sin^2x dx`

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`\int_{-\pi / 2}^{\pi / 2} \frac{1-\cos 2 x}{2} d x `
`=[\frac{x}{2}-\frac{\sin 2 x}{4}]_{-\pi / 2}^{\pi / 2} `
`=\frac{\pi}{2}`
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RD SHARMA-DEFINITE INTEGRALS-Solved Examples And Exercises
  1. Evaluate: int1^3(2x^2+5x)dx\ "a s\ l i m i t\ o f\ a\ sum"dot

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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