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Evaluate of each of the following integr...

Evaluate of each of the following integral: `int_(-pi//3)^(pi//3)1/(1+e^x)dx`

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RD SHARMA ENGLISH-DEFINITE INTEGRALS-All Questions
  1. Evaluate of each of the following integral: int0^(2pi)(e^(sinx))/(e^(s...

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

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

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

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  5. Evaluate of each of the following integral: int(pi//6)^(pi//3)1/(1+sqr...

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

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  7. Evaluate of each of the following integral: inta^b(x^(1//n))/(x^(1//n)...

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  8. Evaluate of each of the following integral: int0^a(sqrt(x))/(sqrt(x)+s...

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  9. If f(a+b-x)=f(x),\ then prove that\ inta^b xf(x)dx=(a+b)/2inta^bf(x)d...

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  10. Evaluate: int0^(pi//2)(sqrt(sin x))/(sqrt(sin x)+sqrt(cos x))dx

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  11. Evaluate: int0^(pi//2)logtanx\ dx

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  12. Evaluate: int0^(pi//4)"log"(1+"t a n x")dx

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  13. Evaluate: int0^(pi//2)(sin x-cosx)/(1+sin x cosx)dx

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  14. Evaluate: int0^(pi//2)(2logsinx-logsin2x)dx

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  15. Evaluate: int0^pi(e^(cosx))/(e^(cosx)+e^(-cosx))dx

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  16. Evaluate: int0^1x(1-x)^n dx

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  17. Evaluate: int0^1cot^(-1)(1-x+x^2)dx

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  18. If f\ a n d\ g are continuious on [0,\ a] and satisfy f(x)=f(a-x)a n d...

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  19. Evaluate: int0^(2pi)1/(1+e^(sin x))dx

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  20. Evaluate: int0^pi1/(1+e^(cosx))dx

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