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Evaluate the following integrals: int...

Evaluate the following integrals: `int_0^(pi//2)(tanx)/(1+m^2tan^2x)dx`

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RD SHARMA ENGLISH-DEFINITE INTEGRALS-All Questions
  1. Evaluate the following integrals: int1^2 1/(x(1+logx)^2)dx

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  2. Evaluate the following integrals: int0^(pi//4)(sin^2xcos^2x)/((sin...

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  3. Evaluate the following integrals: int0^(pi//2)(tanx)/(1+m^2tan^2x)d...

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  4. Evaluate: int0^1|5x-3|dx (ii) int0^pi|cosx|dx (iii) int(-5)^5|x-2...

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  5. Evaluate: (i) \int(-1)^1f(x)dx ,\where\, f(x)={1-2x ,xlt=0 ;1+2x ,xgt=...

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  6. int (1)^x 1/x dx =

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

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

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  9. Evaluate: int0^3[x]dx

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

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

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

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

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

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

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

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

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

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

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

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