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Integrate : int (2^(6x)-1)/(2^(2x)-1)...

Integrate :
` int (2^(6x)-1)/(2^(2x)-1)dx `

Text Solution

Verified by Experts

The correct Answer is:
`(2^(4x))/(4log2) + (2^(2x))/(2 log 2) + x + c `
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CHHAYA PUBLICATION-IDENFINITE INTEGRAL -Short Answer Type Questions
  1. Integrate : int (8^(2+x)+2)/(2^(x+3)) dx

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  2. Integrate : int ((27)^(1+x) + 9^(1-x))/(3^(x)) dx

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  3. Integrate : int (2^(6x)-1)/(2^(2x)-1)dx

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  4. Evaluate the following integrals : int cos^(3) x dx

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  5. Evaluate the following integrals : int sin^(4) x dx

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  6. Evaluate the following integrals : int cos^(4) x dx

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  7. Evaluate the following integrals : int (cos x + sin x )/(cos x - s...

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  8. Evaluate the following integrals : int (2 -3 sin x )/(cos^(2) x) ...

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  9. Evaluate the following integrals : int (sin^(3) x + cos^(3) x )/(s...

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  10. Evaluate the following integrals : int (1+cos x)/(1- cos x ) dx

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  11. Evaluate the following integrals : int ( sin theta + cos theta )/...

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  12. Evaluate the following integrals : int (cos^(3) theta - 3 cos thet...

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  13. Evaluate the following integrals : int (dx)/(sin^(2)x cos^(2) x )

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  14. Evaluate the following integrals : int (a sin^(3)x+bcos^(3)x)/(sin...

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  15. Evaluate the following integrals : int (cos^(2) x - sin^(2) x)/(sq...

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  16. Evaluate the following integrals : int tan^(-1) ((sinx)/(1- cos x...

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  17. Show that : int sqrt (1+ cos x ) dx = 2 sqrt(2) sin. x/2 + c

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  18. Show that : int sqrt(1 - cos 2x ) dx = - sqrt(2) cos x + c

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  19. Show that : int sqrt( 1+ sin 2x) dx =- sin x - cos x + c

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  20. Show that : int sqrt(1+ sin x ) dx = 2 (sin. x/2 - cos . x/2 )+ c...

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