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Question

If f(x)cosxdx=12(f(x))2+C and f(0)=0, then f(0)=

A
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B
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C
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D
2
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Solution

The correct option is A 1
If f(x).cosxdx=12(f(x))2+c
Differentiating w.r t x on both sides
f(x)cosxdx=12.2f(x).f(x)
cos(x)=f(x)
Put x=0
f(0)=cos0=1

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