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Evaluate the integrals. int ( x + (1)/...

Evaluate the integrals.
`int ( x + (1)/(x))^(3) dx (x gt 0)`

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The correct Answer is:
`(x^(4))/(4) + (3x^(2))/(2) + 3 "log" |x|- (1)/(2x^(2)) + c `
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AAKASH SERIES-INDEFINITE INTEGRALS -EXERCISE - 1.1(VERY SHORT ANSWER QUESTIONS)
  1. Evaluate the integrals. int 2 x sqrt(x) dx

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  2. Evaluate the integerals. int root(3)(2x^(2)) dx " on " (0,oo) .

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  3. Evaluate the integrals. int ( x + (1)/(x))^(3) dx (x gt 0)

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  4. Evaluate the integrals. int 3^(-"log"(9)x^(2)) dx

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  5. Evaluate the integerals. int(x^(3)-2x^(2)+3) dx on R .

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  6. Evaluate the integerals. int ( (3)/(x)-(2)/(x)+(1)/(3x^(2))) dx o...

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

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  8. Find the values of the following integrals int(2x^(3)-3x+5)/(2x^(2)...

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  9. Evaluate the integrals. int (1 - sqrt(x))/(x ) dx

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  10. Evaluate the integerals. int (1+(2)/3-(3)/(x^2)) dx "on " I sub R...

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  11. Evaluate the integrals. int (1 - x^(2))^(3) dx , |x| lt 1

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  12. Evaluate the integerals. int((sqrt(x)+1)/(x))^(2) dx " on " (0,oo)

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

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

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

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  16. int cot ^(2)x dx=

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

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

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

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

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