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)=

View answer and explanation

Correct option: B

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

Option B is correct. The polynomial

f(x)

is found by solving the differential equation

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

with given initial conditions, and then evaluating

f(4)

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