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Evaluate the following integral: int0^2(...

Evaluate the following integral: `int_0^2(x^2+x)dx`

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`int_0^2(x^2+x)dx`
`=[x^(2+1)/(2+1)]_0^2+[x^(1+1)/(1+1)]_0^2`
`=[x^3/3]_0^2+[x^2/2]_0^2`
`=2^3/3+2^2/2`
`=8/3+2`
`=14/3`
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RD SHARMA-DEFINITE INTEGRALS-Solved Examples And Exercises
  1. Evaluate the following definite integrals as limit of sum: int0^2(x^2+...

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  2. Evaluate the following integrals as limit of sum: int1^4(3x^2+2x)dx

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  3. Evaluate the following integral: int0^2(x^2+x)dx

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  4. Evaluate the following integrals as limit of sum: int0^(3.)(2x^2+3x+5)...

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  5. Evaluate the following definite integrals as limit of sums. int0 5(...

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  6. Evaluate the following definite integrals as limit of sums. int1 4(...

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  7. Evaluate: int1^3(2x^2+5x)dx\ "a s\ l i m i t\ o f\ a\ sum"dot

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

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

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

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

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

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

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

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

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

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

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

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

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

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