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Evaluate the integrals. int [ (2x - 1)...

Evaluate the integrals.
`int [ (2x - 1)/(3 sqrt(x)) ]^(2) " dx , " (x gt 0 )`

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The correct Answer is:
`(4)/(18) x^(2) - (4)/(9)x +(1)/(9) log |x|` + c
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AAKASH SERIES-INDEFINITE INTEGRALS -EXERCISE - 1.1(VERY SHORT ANSWER QUESTIONS)
  1. Evaluate the integerals. int((sqrt(x)+1)/(x))^(2) dx " on " (0,oo)

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  2. Evaluate the integerals. int ((3x+1)^(2))/(2x ) dx x in I sub R \...

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  3. Evaluate the integrals. int [ (2x - 1)/(3 sqrt(x)) ]^(2) " dx , " (x...

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  4. Evalute the following integrals int e^(-1"log(cosecx)") dx

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  5. int cot ^(2)x dx=

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  6. Evalute the following integrals int (tan^(2) x + 1) dx

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  7. Evalute the following integrals int (1- sin x)/(cos^(2) x) dx

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  8. Evalute the following integrals int e^(log(1+ tan^(2)x)) dx

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  9. Evalute the following integrals int (1 + cos^(2)x )/(1 - cos 2x ) dx

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  10. Evalute the following integrals int (1)/(sin^(2) " x cos"^(2)x) dx

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  11. Evalute the following integrals int sqrt(1 - cos 2 x)" dx " x in [ 0...

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  12. Evalute the following integrals int (1)/(1 + cos x) dx

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  13. Evalute the following integrals int (1)/( 1 + sin x ) dx

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  14. Evalute the following integrals int (sin x)/( 1 + sin " x") dx

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  15. Evalute the following integrals int (2 cos ^(3) x + 3 sin^(3)x )/(si...

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  16. Evalute the following integrals int ("cosec "x)/("cosec" x - cotx") ...

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  17. Evaluate the integerals. int sqrt(1- sin 2x)dx on I sub{2n pi -(...

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  18. Evalute the following integrals int sqrt(1 + sin 2 x ) " dx , x in [...

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  19. int (1+sin^(2)x)/(1+cos 2x)dx=

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  20. Evalute the following integrals int(x + (4)/(1 + x^(2))) dx

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