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int e^(5logx)dx is equal to...

`int e^(5logx)dx` is equal to

A

`x^5/5 +C`

B

`x^6/6 +C`

C

`5x^4+C`

D

`6x^5+C`

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XII BOARDS PREVIOUS YEAR-QUESTION PAPER 2023-Question
  1. The sine of the angle between the vectors veca=3hati+hatj+2hatk and ve...

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  2. The order and degree (if defined) of the differential equation, ((d^2...

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  3. int e^(5logx)dx is equal to

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  4. A unit vector along the vector 4hati-3hatk is

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  5. Which of the following points satisfies both the inequalities 2x+y le1...

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  6. If y=sin^2 (x^3), then (dy)/(dx) is equal to

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  7. The point (x,y,0) on the xy-plane divides the line segment joining the...

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  8. The events E and F are independent. If P(E)=0.3 and P(E uu F)=0.5, the...

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  9. The integrating factor for solving the differential equation x (dy)/(...

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  10. Assertions (A) :The line vecr=vec(a1)+lamda vec (b1) and vecr=vec(a2)+...

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  11. Assertions (A): All trigonometric functions have their inverses over t...

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  12. If xy=e^(x-y), prove that (dy)/(dx)=(y(x-1))/(x(y+1)).

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  13. Find the domain of y=sin^-1(x^2-4)

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  14. Evaluate : cos^-1[cos(-(7pi)/(3))]

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  15. If the projection of the vector hati+hatj+hatk on the vector p hati+ha...

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  16. Find the point on the curve y^2=8x for which the abscissa and ordinate...

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  17. Find the vector equation of the line passing the point (2,1,3) and per...

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  18. The equation of a line are 5x-3=15y+7=3-10z. Write the direction cosin...

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  19. Find int(2)/((1-x)(1+x^2))dx

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  20. Evaluate int(1/3)^1 (x-x^3)^(1/3)/x^4dx

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