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int1/(1+tanx)\ dx= (log)e(x+sinx)+C (b)...

`int1/(1+tanx)\ dx=` `(log)_e(x+sinx)+C` (b) `(log)_e(sinx+cosx)+C` (c) `2sec^2x/2+C` (d) `1/2{x+log(sinx+cosx)}+C`

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The value of int(sinx+cosx)/(sqrt(1-sin2x))\ dx is equal to (a) sqrt(sin2x)+C (b) sqrt(cos2x)+C (c) +-(sinx-cosx)+C (d) +-log(sinx-cosx)+C

If y=(sinx)^(tanx),t h e n(dy)/(dx)= (a) (sinx)^(tanx)(1+sec^2xlogsinx) (b) tanx(sinx)^(tanx-1)cosx (c) (sinx)^(tanx) (d) sec^2xlogsinx tanx(sinx)^(tanx-1)

int(e^x(1+x))/(cos^2(x e^x))\ dx= (a) 2(log)_ecos(x e^x)+C (b) sec(x e^x)+C (c) tan(x e^x)+C (d) tan(x+e^x)+C

If y={(log)_(cosx)sinx}{(log)_(sinx)cosx}^(-1)+sin^(-1)((2x)/(1+x^2)), fin d (dy)/(dx)a tx=pi/4

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int e^x ((1-sinx)/(1-cosx)) dx= (A) e^xtan(x/2)+C (B) e^xcot(x/2)+C (C) -1/2 e^xtan(x/2)+C (D) -1/2 e^xcot(x/2)+C

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Choose the correct answers int(cos2x)/((sinx+cosx)^2)dx is equal(A) (-1)/(sinx+cosx)+C (B) log|sinx+cosx|+C C) log|sinx-cosx|+C (D) 1/((sinx+cosx)^2)

int1/(1-cosx-sinx)\ dx= log|1+cotx/2|+C (b) log|1-tanx/2|+C (c) log|1-cotx/2|+C (d) log|1+tanx/2|+C

RD SHARMA ENGLISH-INDEFINITE INTEGRALS-All Questions
  1. Evaluate: inte^(2x)((1+sin2x)/(1+cos2x))dx

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  2. Evaluate: (i)intcos( b x+c)dx (ii) intsin(logx)dx

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  3. int1/(1+tanx)\ dx= (log)e(x+sinx)+C (b) (log)e(sinx+cosx)+C (c) 2sec...

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  4. Evaluate: (i) ( i i ) (iii)int( i v )1/( v )(( v i )sqrt(( v i i ) ...

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  5. Evaluate int(3cosx+2)/(sinx+2cosx+3)dx

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  6. Evaluate : int1/(1+cos x)dx

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  7. Evaluate the following integrals: (i)intx^4\ dx (ii) intsqrt(x)\ dx

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  8. Evaluate the following integrals: int1/(sqrt(x))\ dx (ii) int1/(x^3...

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  9. Evaluate: int(e^(5\ (log)e x)-e^(4\ (log)e x))/(e^(3\ (log)e x)-e^(2\ ...

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  10. Evaluate: (i) int2/(1+cos2x)\ dx (ii) int2/(1-cos2x)\ dx

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  11. Evaluate: int(cos2x+2\ sin^2x)/(cos^2x)\ dx

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  12. If a >0 and a!=1 evaluate the following integrals: (i)inte^(x\ (log)e ...

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  13. If a >0 and a!=1 evaluate the following integrals: inte^x\ a^x\ dx ...

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  14. Evaluate each of the following integrals: (i)intx^4\ dx (ii) intx^(5...

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  15. Evaluate each of the following integrals: int3^x\ dx (ii) int1/(x^2...

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  16. Evaluate: (i) intsqrt((1+cos2x)/2)\ dx (ii) intsqrt((1-cos2x)/2)\ dx

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  17. Evaluate: int(e^(6\ (log)e x)-e^(5\ (log)e x))/(e^(4\ (log)e x)-e^(3\ ...

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  18. Evaluate: int1/(a^x\ b^x)\ dx

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  19. Evaluate : int(cos2x+2sin^2x)/(sin^2x)dx (ii) int(2cos^2x-cos2x)/(cos...

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  20. Evaluate : int(e^(logsqrt(x)))/xdx

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