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Integrate the following functions with r...

Integrate the following functions with respect to `x`
(a) `int (5x^2 + 3x -2) dx`
(b) `int (4sin x-(2)/(x)) dx`
(c) `int (dx)/(4x+5)`
(d) `int (6x +2)^(3) dx`

Text Solution

Verified by Experts

`int(dx)/(4x+5)= = 1/4int(dz)/(z)`, where z=4x+5
=`1/4inz+c=1/4in(4x+5)+c`
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PATHFINDER-VECTOR-I AND VECTOR-II-QUESTION BANK
  1. Integrate the following functions with respect to x (a) int (5x^2 + ...

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  2. Integrate the following functions with respect to x (a) int (5x^2 + ...

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  3. Integrate the following functions with respect to x (a) int (5x^2 + ...

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  4. This is a line given by y=x. Find the area bounded by the and x-axis a...

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  5. Find the differentiation of the following w.r.t.x. 2001

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  6. Find the differentiation of the following w.r.t.x. Inx

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  7. Find the differentiation of the following w.r.t.x. x^2

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  8. Find the differentiation of the following w.r.t.x. x^(2001)

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  9. Find the differentiation of the following w.r.t.x. x^(3/2)

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  10. Find the differentiation of the following w.r.t.x. 1/sqrtx

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  11. Find the differentiation of the following w.r.t.x. ax+b

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  12. Find the differentiation of the following w.r.t.x. (ax+b)^3

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  13. Find the differentiation of the following w.r.t.x. (1)/(ax+b)^2

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  14. Find the differentiation of the following w.r.t.x. 1/x

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  15. If y=2sin2x+3cos2x, find (d^2y)/dx^2.

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  16. FInd the value of (d^2y)/(dx^2) if y=log(sec x-tan x)

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  17. Read each statement below carefully and state with reasons, if it is t...

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  18. Given veca+vecb+vecc+vecd=vec0, which of the following statements are ...

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  19. A vector has both magnitude and direction. Does it mean that anything ...

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  20. The rotation of a body can be specified by the direction of the axis o...

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