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Evaluate the integerals. int (1+(2)...

Evaluate the integerals.
` int (1+(2)/3-(3)/(x^2)) dx "on " I sub R\\ {0}`

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The correct Answer is:
x + 2 log |x| + `(3)/(x ) + c `
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AAKASH SERIES-INDEFINITE INTEGRALS -EXERCISE - 1.1(VERY SHORT ANSWER QUESTIONS)
  1. Find the values of the following integrals int(2x^(3)-3x+5)/(2x^(2)...

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

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

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

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

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

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

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

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  9. int cot ^(2)x dx=

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

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

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

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

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

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

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

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

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

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

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

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