JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

Let

f(x)

be a polynomial satisfying

f(0)=2, f^{\prime}(0)=3

and

f^{\prime \prime}(x)=f(x)

. Then

f(4)

is equal to

View answer and explanation

Correct option: B

\frac{5\left(e^8-1\right)}{2 e^4}

Option A is incorrect. Option B is correct because by solving the differential equation and using the given initial conditions, we find

f(4)=\frac{5(e^8-1)}{2 e^4}

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