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Evaluate the following integrals (vi)...

Evaluate the following integrals
(vi) `int_(0)^(1) (1)/(sqrt(x+1)+sqrt(x))dx`

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The correct Answer is:
`4/3 (sqrt(2)-1)`
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AAKASH SERIES-DEFINITE INTEGRALS-EXERCISE - 2.1 (VERY SHORT ANSWER QUESTIONS)
  1. Evaluate the following integrals (iv) int(0)^(4)(x^(2))/(1+x)dx

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  2. Evaluate the following integrals (v) int(0)^(a)(sqrt(a)-sqrt(x))^(2...

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  3. Evaluate the following integrals (vi) int(0)^(1) (1)/(sqrt(x+1)+sqr...

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  4. Evaluate the integrals . I=underset(0)overset(1)int (x^(2))/(x^(2)+1...

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  5. Evaluate the following integrals (viii) int(0)^(3) (x dx)/(sqrt(x^(...

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  6. Evaluate the following integrals (ix) int(0)^(1)(x)/(1+sqrt(x))dx

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  7. Evaluate the following integrals (x) int(pi/6)^(pi/3)cot^(2) x dx

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  8. Evaluate underset(0)overset(a)int sqrt(a^(2)-x^(2)) dx

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  9. Evaluate underset(0)overset(2)int sqrt(4-x^(2))dx

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  10. Evaluate the definite integrals . underset(0)overset(pi)int sqrt(2+2...

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  11. Evaluate the following integrals (ii) int(0)^(2)|1-x|dx

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  12. Evaluate the following integrals (iii) int(0)^(pi/4) (1+ sin 2 x)/...

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  13. Evaluate underset(1)overset(4)int x sqrt(x^(2)-1) dx

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  14. Evaluate : int(0)^(1)(dx)/(sqrt(3-2x))

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  15. Evaluate the definite integrals . I=underset(1)overset(5)int (dx)/(s...

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  16. Evaluate the definite integrals . I=underset(0)overset(1)x. e^(-x^(2...

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  17. Evaluate the following integrals (i) int(0)^(pi/2) x cos x dx

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  18. Evaluate the following integrals (ii) int(1)^(sqrt(e))x log x dx

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  19. Evaluate the following integrals (iii) int(1)^(2)(log x)/(x^(2))dx

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  20. Evaluate the following integrals (iv) int(0)^(pi//4)(1)/(1+sin x)d...

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