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intsqrt(x/(1-x))\ dx is equal to (a)sin...

`intsqrt(x/(1-x))\ dx` is equal to
(a)`sin^(-1)sqrt(x)+C`

(b) `sin^(-1){sqrt(x)-sqrt(x(1-x))}+C`
(c) `sin^(-1){sqrt(x(1-x))}+C`
(d) `sin^(-1)sqrt(x)-sqrt(x(1-x))+C`

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RD SHARMA ENGLISH-INDEFINITE INTEGRALS-All Questions
  1. The primitive of the function f(x)=(1-1/(x^2))a^(x+1/x)\ ,\ a >0 is ...

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  2. The value of int1/(x+xlogx)\ dx is (a)1+logx (b) x+logx (c) xlog(1...

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  3. intsqrt(x/(1-x))\ dx is equal to (a)sin^(-1)sqrt(x)+C (b) sin^(-1){...

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  4. Evaluate: inte^x(f(x)+f^(prime)(x))dx=e^xf(x)+C

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  5. The value of int(sinx+cosx)/(sqrt(1-sin2x))\ dx is equal to (a)sqrt(s...

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  6. If intxsinx\ dx=-xcosx+alpha, then alpha is equal to (a)sinx+C (b) c...

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  7. int(cos2x-1)/(cos2x+1)\ dx= (a)tanx-x+C (b) x+tanx+C (c) x-tanx+C...

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  8. int(cos2x-cos2theta)/(cosx-costheta)\ dx is equal to (a)2\ (sinx+xcos...

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  9. int(x^9dx)/((4x^2+1)^6) is equal to (a)1/(5x)(4+1/(x^2))^(-5)+c (b...

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  10. int(x^3)/(sqrt(1+x^2))\ dx=a(1+x^2)^(3setminus2)+bsqrt(1+x^2)+C , then...

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  11. int(x^3)/(x+1)\ dx is equal to (a)x+(x^2)/2+(x^3)/3-log|1-x|+C (b) ...

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  12. Ifint(dx)/((x+2)(x^2+1))=aln(1+x^2)+btan^(-1)x+1/5ln|x+2|+C Then a=1/...

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  13. Evaluate: int1/(sqrt(x)+sqrt(x+1))\ dx

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  14. Evaluate: int(1-x^4)/(1-x)\ dx

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  15. Evaluate: int(x+2)/((x+1)^3)\ dx

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  16. Evaluate int ((8x+13)/sqrt(4x+7)) dx (A) 1/3 (4x+7)^(3/2) - 1/2 (4x+7...

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  17. Evaluate: int(1+x+x^2)/(x^2(1+x))\ dx

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  18. Evaluate: int((2^x+3^x)^2)/(6^x)\ dx

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  19. Evaluate: int(sinx)/(1+sinx)\ dx

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

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