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Evaluate: int0^(sqrt(3))1/(1+x^2)sin^(-1...

Evaluate: `int_0^(sqrt(3))1/(1+x^2)sin^(-1)((2x)/(1+x^2))dx`

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RD SHARMA ENGLISH-DEFINITE INTEGRALS-All Questions
  1. Evaluate the following integrals: int0^picosx|cosx|dx

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  2. Let f(x)=x-[x], for ever real number x ,w h e r e[x] is the g...

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  3. Evaluate: int0^(sqrt(3))1/(1+x^2)sin^(-1)((2x)/(1+x^2))dx

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  4. Evaluate the following integrals: int0^9f(x)dx ,w h e r ef(x)={si...

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  5. Evaluate the following integrals: int0^2|x^2-3x+2|dx

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  6. Evaluate the following integrals: int0^1sqrt((1-x)/(1+x))dx

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  7. Prove that: inta^b(f(x))/(f(x)+f(a+b-x))dx=(b-a)/2

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  8. Evaluate of each of the following integrals (1-15): int0^5(root(3)(x...

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  9. Evaluate of each of the following integrals (1-15): int(-pi//4)^(p...

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  10. Evaluate of each of the following integrals (1-15): int(-a)^a1/(1+"...

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  11. Evalaute int(pi//6)^(pi//3)(sqrt((sinx))dx)/(sqrt((sinx))+sqrt((cosx))...

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  12. Evaluate of each of the following integrals (1-15): int0^(2pi)"log...

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  13. Evaluate: int(-pi//4)^(pi//4)(sec^2x)/(1+e^x)dx

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  14. Evaluate: int(-pi//4)^(pi//4)(sec^2x)/(1+e^x)dx

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  15. Evaluate: int(-pi//2)^(pi//2)(xsinx)/(e^x+1)dx

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

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  17. Evaluate of each of the following integrals (1-15): int0^7(x^(1/3)...

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  18. Evaluate: int1^2x^2dx

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  19. Evaluate: int(4)^(1)1/x dx

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  20. Evaluate: int0^1 1/(sqrt(1+x)+sqrt(x))dx

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