If $f(y)=e^y, g(y)=y ; y > 0$ and $F(t)=\int_\limits 0^t f(t-y) g(y) d y$, then

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

f(y)=e^y, g(y)=y ; y > 0

and

F(t)=\int\limits_{0}^t f(t-y) g(y) d y

, then

View answer and explanation

Correct option: C

F(t)=e^t-(1+t)

Option A (

\frac{3}{4}(2)^{4 / 3}-\frac{3}{4}

) is correct because the limit of the sum is converted to a definite integral.

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