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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(5x^2+3x-2)dx`
= `5intx^2dx+3intxdx-2intdx`
=`(5x^3)/(3)+(3x^2)/(2)-2x+c`
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PATHFINDER-VECTOR-I AND VECTOR-II-QUESTION BANK
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  2. Find maximum or minimum values of the functions (a) y =25 x^(2) + 5 ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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