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Evaluate: int1^3(2x^2+5x)dx\ "a s\ l i m...

Evaluate: `int_1^3(2x^2+5x)dx\ "a s\ l i m i t\ o f\ a\ sum"dot`

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Let `f(x)=2 x^{2}+5 x`
Here `a=1, b=3`
Therefore, `{h}=\frac{{b}-{a}}{{n}}=\frac{3-1}{{n}}=\frac{2}{{n}} \Rightarrow {nh}=2`
...
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RD SHARMA-DEFINITE INTEGRALS-Solved Examples And Exercises
  1. Evaluate the following definite integrals as limit of sums. int0 5(...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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