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Evaluate the following integral: int(-pi...

Evaluate the following integral: `int_(-pi//4)^(pi//4)|sinx|dx`

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`I=int_{-pi 4}^{pi / 4}|sin x| d x`

` I=int_{-pi 4}^{0}-sin x d x+int_{0}^{pi / 4} sin x d x`

` I=.cos x|_{-pi 4} ^{0}-.(-cos x)|_{0} ^{pi 4}`

` I=1-frac{1}{sqrt{2}}+frac{1}{sqrt{2}}+1=2`

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RD SHARMA-DEFINITE INTEGRALS-Solved Examples And Exercises
  1. Evaluate the following integral: int0^(pi//2)1/(1+tan^3x)dx

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  2. Evaluate the following integral: int0^pixsinxcos^4x\ dx

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  3. Evaluate the following integral: int(-pi//4)^(pi//4)|sinx|dx

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  4. Evaluate the following integral: int0^pix/(1+cos alpha sin x)dx

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  5. Evaluate the following integral: int0^(pi//2)x/(sinx+cos x)dx

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  6. Evaluate int0^pi x/(a^2-cos^2x)dx

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  7. The value of int2^3(sqrt(x))/(sqrt(5-x)+sqrt(x))dxi s

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  8. Evaluate the following integral: int0^(pi//2)xsinx+cos^2x

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  9. int0^1cot^(- 1)(1-x+x^2)dx

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  10. Evaluate the following integral: int0^(pi//2)1/(2cos x+4sinx)dx

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  11. Evaluate the following integral: int(pi//6)^(pi//2)(cos e c\ xcotx)/(1...

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  12. Evaluate the following integral: int0^(pi//2)(dx)/(4\ cos x+2sinx)

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  13. Evaluate the following definite integrals as limit of sum: int0^4x\ dx

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  14. Evaluate the following definite integrals as limit of sum: int1^4(x^2+...

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  15. Evaluate the following definite integrals as limit of sums. int-1^1e...

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  16. Evaluate the following definite integrals as limit of sum: int1^3(x^2+...

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  17. Evaluate the following definite integrals as limit of sum: int0^2(2x^2...

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  18. Evaluate the following definite integrals as limit of sum: int(-1)^1(e...

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  19. Evaluate: int1^3(2x^2+5x)dx as limit of a sum

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  20. Evaluate the following definite integrals as limit of sum: int0^2(x^2+...

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