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If [dot] denotes the greatest intege...

If `[dot]` denotes the greatest integer function, then find the value of `int_1^2[3x]dx`

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RD SHARMA ENGLISH-DEFINITE INTEGRALS-All Questions
  1. int (1)^x 1/x dx =

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  2. If a >0, find int0^(3a)|x^2-a^2|dxdot

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  3. If [dot] denotes the greatest integer function, then find the valu...

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  4. Evaluate: int0^3[x]dx

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  5. int0^1d/(dx){sin^(-1)((2x)/(1+x^2))}dx is equal to 0 (b) pi (c) ...

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  6. Evaluate the following integrals: int(-a)^a(xe^x^2)/(1+x^2)dx

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  7. Evaluate the following integrals: int0^(pi//4)|cos2x|dx

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  8. Evaluate the following integrals: int-5^0f(x)dx ,w h e r ef(x)=|x|+|x+...

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  9. Evaluate the following definite integrals (1-58): int1^2 1/(sqrt((x...

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  10. Evaluate the following integrals: int0^picosx|cosx|dx

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

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

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

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

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

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

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

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

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

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

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