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Question

14+9x2dx is equal to
(where C is constant of integration)

A
16tan13x2+C
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B
13tan16x2+C
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C
12tan15x2+C
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D
13tan17x2+C
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Solution

The correct option is A 16tan13x2+C
we have,
14+9x2dx

=19149+x2
=191(23)2+x2dx
=191(23)tan1(3x2)+C
=16tan1(3x2)+C

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