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intsqrt((cosx-cos^3x)/(1-cos^3x))dx is e...

`intsqrt((cosx-cos^3x)/(1-cos^3x))dx `is equal to (a) `-2/3sin^(-1)(cos^(3/2)x)+C` (b) `3/2sin^(-1)(cos^(3/2)x)+C` (c) `2/3cos^(-1)(cos^(3/2)x)+C` (d) none of these

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CENGAGE ENGLISH-INTEGRALS-All Questions
  1. If int (3sinx+2cosx)/ (3cosx+2sinx) dx=a x+b ln|2sinx+3cosx|+C, then (...

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  2. Ifint(3e^x-5e^(-x))/(4e^x+5e^(-x))dx=a x+bln(4e^x+5e^(-x))+C ,t h e n ...

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  3. intsqrt((cosx-cos^3x)/(1-cos^3x))dx is equal to (a) -2/3sin^(-1)(cos...

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  4. If l^(prime)(x) means logloglog x , the log being repeated r times, th...

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  5. int(cos4x-1)/(cotx-tanx)dx is equal to (A) 1/2ln|sec2x|-1/4cos^2 2x+...

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  6. If int(dx)/(sqrt(sin^3xcos^5x))=asqrt(cotx)+bsqrt(tan^3)x+c , then (...

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  7. int e^(tan^(-1)x)(1+x+x^2)d(cot^(-1)x) is equal to (a) -e^(tan^(-1)x)...

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

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  9. int(2sinx)/(3+sin2x)dx is equal to

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  10. int(ln(tanx)/(sinxcosx)dxi se q u a lto (a)1/2ln(tanx)+c (b) 1/2l...

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  11. intsin^(-1)((2x)/(1+x^2))dx is e q u a lto

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  12. If int(1-x^(7))/(x(1+x^(7)))dx=alog(e)|x|+blog(e)|x^(7)+1|+c, then

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  13. ifint(dx)/(x^2(x^n+1)^(((n-1)/n))=-[f(x)]^(1/n)+c ,t h e nf(x)i s (1+...

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  14. If int1/(xsqrt(1-x^3))dx=alog|(sqrt(1-x^3)-1)/(sqrt(1-x^3)+1)|+b ,t h...

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  15. Evaluate: int(sqrt(cos2x))/(sinx)dx

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  16. Evaluate: int(sqrt((1+x^2)/(x^2-x^4)))dx

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  17. Evaluate: int(x^2)/((a+b x)^2)dx

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  18. Evaluate: intsqrt(1+sin(x/2)dx)

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  19. Evaluate: int(x^2)/(sqrt(1-x dx))

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  20. Evaluate: int(e^(logx)+sinx)cosxdx

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