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Evaluate : int(e^xdot(2+sin2x)/(2cos^2x...

Evaluate : `int(e^xdot(2+sin2x)/(2cos^2x)\ dx`

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To evaluate the integral \[ I = \int \frac{e^x (2 + \sin 2x)}{2 \cos^2 x} \, dx, \] we will break it down step by step. ...
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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Find the projection of vec b+ vec c on vec a where vec a=7 hat...

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  2. A card is drawn at random from a well-shuffled pack of 52 cards. Fi...

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  3. Evaluate : int(e^xdot(2+sin2x)/(2cos^2x)\ dx

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  4. Evaluate : intsin3"x"sin5"x\ dx"

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  5. Solve the following differential equation : (1+"y"^2)(1+log"x")"dx"+"...

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  6. Using the properties of determinants, prove the following |(1,bc,bc(b+...

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  7. For the matrix A=[(2,3),(1,2)] show that A^2-4A+I=0 Hence find A^-1

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  8. Form the differential equation of the family of curves "y"="A e"^("...

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  9. Evaluate: int0^pi(xsinx)/(1+cos^2x)\ dx

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  10. An urn contains 6 red and 5 blue balls. Two balls are drawn at rand...

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  11. A particle is projected with a velocity of 39.2 m/sec at an elevati...

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  12. Find the resultant of two velocities 6 km/hr and 6\ sqrt(2) km/hr i...

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  13. Two forces act at a point and are such that if the direction of one...

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  14. Find the equation of the plane passing through the intersection of ...

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  15. Find the equation of the sphere which passing through the points (0...

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  16. Find the value of lambda , which makes the vectors vec a ,\ vec b...

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  17. A particle starting with initial velocity of 26 m/sec moves with a ...

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  18. A body of mass 50 kg, suspended by two strings of lengths 30 cm and...

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  19. Find the point on the curve y^2=4x which is nearest to the point (2, 1...

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  20. Show that a cylinder of a given volume which is open at the top has...

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