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underset(0)overset(1)int sin{2 tan^(-1)s...

`underset(0)overset(1)int sin{2 tan^(-1)sqrt((1+x)/(1-x))}dx=`

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The correct Answer is:
`pi//4`
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CBSE COMPLEMENTARY MATERIAL-INTEGRALS-FOUR MARK QUESTIONS
  1. int(0)^(1//sqrt(2))(sin^(-1)x)/((1-x^(2))^(3//2))dx=?

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  2. Evaluate the following definite integrals: int(0)^(pi//2)(sin 2x)/(s...

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  3. underset(0)overset(1)int sin{2 tan^(-1)sqrt((1+x)/(1-x))}dx=

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  4. Evaluate the following definite integrals: int(0)^(pi//2)(1-sinx)/(x...

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  5. Evaluate the following definite integrals: int(0)^(1)x log(1+x/2)dx

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  6. Evaluate the following definite integrals: int(-1)^(1//2)|xcos pi x...

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  7. int(-pi)^pi(cosa x-sinb x)^2dx

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  8. Evaluate : int(2)^(5)[|x-2|+|x-3|+|x-4|]dx

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  9. Evaluate : int(0)^(pi) (x sin x )/(1 + sin x ) dx

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  10. int- 1^1 e^(tan-1) x [(1+x+x^2)/(1+x^2)]dx

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  11. Evaluate: int0^pi(xsinx)/(1+cos^2x)\ dx

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  12. Evaluate : int(0)^(2)[x^(2)]dx

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  13. Evaluate : int0^(pi/2)(xsinxcosx)/(sin^4x+cos^4x)\ dx

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  14. Evaluate int(0)^(pi)(x)/((a^(2)cos^(2)x+b^(2)sin^(2)x))dx.

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  15. Evaluate of each of the following integral: int(pi//6)^(pi//3)1/(1+sqr...

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  16. Evaluate the following integral: int(-pi//2)^(pi//2)(sin|x|+"cos"|x|)d...

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  17. Evaluate int(0)^(pi)(e^(cosx))/(e^(cosx)+e^(-cosx))dx.

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  18. int(0)^(pi)(x tanx)/(secx+cosx)dx is

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  19. Evaluate the following integral: int(-a)^asqrt((a-x)/(a+x))dx

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  20. Integrate the functions(sin^(-1)sqrt(x)-cos^(-1)sqrt(x))/(sin^(-1)sqrt...

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