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Evaluate each of the following integral:...

Evaluate each of the following integral: `int_(-2)^1(|x|)/x dx`

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From the given integral ` \begin{array}{l} \int_{-2}^{1} \frac{|x|}{x} d x=\int_{-2}^{0} \frac{-x}{x} d x+\int_{0}^{1} \frac{x}{x} d x \\ =\int_{-2}^{0}-1 d x+\int_{0}^{1} 1 d x \\ =[-x]_{-2}^{0}+[x]_{0}^{1} \\ =-0+(-2)+1-0 \\ =-2+1=-1 ...
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RD SHARMA-DEFINITE INTEGRALS-Solved Examples And Exercises
  1. Evaluate each of the following integral: int(-pi//2)^(pi//2)sin^3x\ dx

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Evaluate each of the following integral: int0^(pi//2)logtanx dx

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  20. Evaluate the following integrals: (1-35) int0^(pi//2)(sin^n x)/(sin...

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