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Question

If ex(1x1+x2)2dx=exca+bx2+k, then the sum of a,b and c is ___.

  1. 3

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Solution

The correct option is A 3
ex(1x1+x2)2dx=ex(12x+x2)(1+x2)2dx=ex(11+x22x(1+x2)2)dx

=ex1+x2+k

Using the property

ex(f(x)+f(x))=exf(x)

a=1,b=1,c=1

sum =a+b+c=3

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