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Evaluate int 5x-2\dx...

Evaluate `int 5x-2\dx`

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RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. Solve for x : cot^(-1)x-cot^(-1)(x+2)=pi/(12) , where x >0

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  2. Evaluateintx.cosx\dx

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  3. Evaluate int 5x-2\dx

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  4. Solve for x : tan^(-1)((x-2)/(x-1))+tan^(-1)((x+2)/(x+1))=pi/4

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  5. Evaluateint(7x^2-5x)\dx

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  6. Solve for x : tan^(-1)((x-2)/(x-1))+tan^(-1)((x+2)/(x+1))=pi/4

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  7. Find the sum of the series :tan^- 1(1/3)+tan^- 1(2/9)+....+tan^- 1((2^...

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  8. Prove that : sin^(-1)(8/(17))+sin^(-1)(3/5)=sin^(-1)((77)/(85))=tan^(-...

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  9. Prove that:cos^(-1)(12/13)+sin^(-1)(3/5)=sin^(-1)(56/65)

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  10. Prove each of the followingsin^(- 1)(3/5)+sin^(- 1)(8/17)=sin^(- 1)(77...

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  11. Prove that: sin^(-1)(4/5)+sin^(-1)(5/(13))+sin^(-1)((16)/(65))=pi/2

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  12. Prove that sin^(-1)(8/(17))+sin^(-1)(3/5)=cos^(-1)((36)/(85))

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  13. Show that sin^-1 (3/5)+cos^-1(12/13)=cos^-1(33/65)=sin^-1(56/65)

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  14. sin^(-1)(3x)/5+sin^(-1)(4x)/5=sin^(-1)x , then roots of the equatio...

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  15. Solve the equation sin^(-1)x+sin^(-1)6sqrt(3)x=(-pi)/2dot

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  16. Evaluate: cos(sin^(-1)3/5+sin^(-1)5/(13))

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  17. Prove that: sin^(-1)((63)/(65))=sin^(-1)(5/(13))+cos^(-1)(3/5)

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  18. Prove that : tan^(-1)(63)/(16)=sin^(-1)5/(13)+cos^(-1)3/5

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  19. Prove that:(9pi)/8-9/4sin^(-1)1/3=9/4sin^(-1)(2sqrt(2))/3

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  20. solve:sin^-1x+sin^-1 2x=pi/3

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