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Evaluate: int0^(1/2)(xsin^(-1)x)/(sqrt(1...

Evaluate: `int_0^(1/2)(xsin^(-1)x)/(sqrt(1-x^2))dx`

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RD SHARMA ENGLISH-DEFINITE INTEGRALS-All Questions
  1. Evaluate the following integral: int0^pi1/(5+4sinx)dx

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  2. Evaluate the following integral: int0^pi1/(3+2sinx+cosx)dx

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  3. Evaluate: int0^(1/2)(xsin^(-1)x)/(sqrt(1-x^2))dx

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  4. Evaluate the following integral: int0^(pi//4)(tan^3x)/(1+cos2x)dx

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  5. Evaluate the following integral: int0^(pi//2)1/(a^2sin^2x+b^2cos^2x)dx

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  6. Evaluate the following integral: int0^1(tan^(-1)x)/(1+x^2)dx

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  7. Evaluate the following integral: int0^1x t a n^(-1)x\ dx

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  8. Evaluate the following integral: int0^(pi//2)sin^2x\ dx

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  9. Evaluate the following integral: int0^1(1-x^2)/((1+x^2)^2)dx

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  10. Evaluate the following integral: int0^(pi//2)(cos^2x)/(1+3sin^2x)dx

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  11. Evaluate the following integral: int0^pi5(5-4costheta)^(1//4)sinthetad...

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  12. Evaluate the following integral: int4^9(sqrt(x))/((30-x^(3/2))^2)dx

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  13. Evaluate the following integral: int0^(pi//2)2sin x\ cos xtan^(-1)(sin...

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  14. Evaluate the following integral: int0^(pi//2)(sin x cos x)/(cos^2x+3co...

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  15. Evaluate the following integral: int0^(1//2)1/((1+x^2)sqrt(1-x^2))dx

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  16. Evaluate the following integral: int0^1(cos^(-1)x)^2dx

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  17. Evaluate the following integral: int(pi//3)^(pi//2)(sqrt(1+cosx))/((1-...

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

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  19. Evaluate the following integral: int(1//3)^1((x-x^3)^(1//3))/(x^4)dx

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  20. Evaluate: int(-pi//4)^(pi//4)(sec^2x)/(1+e^x)dx

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