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Evaluate the following integral: int1^(2...

Evaluate the following integral: `int_1^(2pi)|s in x|dx`

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I=`int_1^(2pi)|sinx|dx`
=`int_1^(pi)(sinx)dx+int_(pi)^(2pi)(-sinx)dx`
=`(-cosx)_1^(pi)+(cosx)_(pi)^(2pi)`
=`3+Cos1`
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RD SHARMA-DEFINITE INTEGRALS-Solved Examples And Exercises
  1. Evaluate the following integral: int(-6)^6|x+2|dx

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  2. Evaluate the following integral: int1^2|x-3|dx

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  3. Evaluate the following integral: int1^(2pi)|s in x|dx

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  4. Evaluate the following integral: int2^8|x-5|dx

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  5. Evaluate the following integral: int0^4|x-1|dx

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  6. Evaluate the following integral: int0^4(|x|+|x-2|+|x-4|)dx\

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  7. Evaluate the following integral: int(-2)^2x e^(|x|)dx

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  8. Evaluate the following integral: int(-pi//2)^pisin^(-1)(sin x)dx

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  9. Evaluate the following integral: int(-3)^3|x+1|dx

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  10. Evaluate the following integral: int(-1)^2|2x+3|dx

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  11. Evaluate the following integral: int0^3|3x-1|dx

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

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  13. Evaluate the following integral: int(-pi//4)^(pi//4)|s in x|dx

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  14. Evaluate the following integral: int(-pi//2)^(pi//2)|sinx+"cosx|dx

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  15. Evaluate the following integral: int1^4{|x-1|+|x-2|+|x-4|}dx

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  16. Evaluate the following integral: int(-pi//2)^(pi//2)(2sin|x|+cos x)dx

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  17. Evaluate of each of the following integral: int0^(2pi)(dx)/(e^(sinx)+1...

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  18. Evaluate of each of the following integral: int(-pi//4)^(pi//4)(tan^2x...

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  19. Evaluate of each of the following integral: int(-pi//3)^(pi//3)1/(1+e^...

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  20. Evaluate of each of the following integral: int0^(pi//2)(2logcos x-log...

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