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Question

Let f, f ' , f " be continuous functions in [0, ln2] and f(0)=0,f(0)=3,f(ln2)=6,f(ln2)=4andIn 20e2xf(x)dx=3,thenIn 20e2xf"(x)dx is?


Your Answer
A
28
Correct Answer
B
13
Your Answer
C
12
Your Answer
D
None of these

Solution

The correct option is A 13
1n 20e2xf(x)dx=31n 20e2xf"(x)dx=e2xf"(x)dx+2e2xf(x)dx=e2xf(x)+2[e2xf(x)+2e2xf(x)dx]|1n 20=13

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