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Definite Integration question

2016 · 10 Apr · Shift 1 · Q29

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PYQ Library
JEE Main
Mathematics
Definite Integration
2016 · 10 Apr · Shift 1 · Q29

Definite Integration question

2016 · 10 Apr · Shift 1 · Q29

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

For x

\in

R, x

e

0, if y(x) is a differentiable function such that x

\int\limits_1^x y

(t) dt = (x + 1)

\int\limits_1^x ty

(t) dt, then y (x) equals : (where C is a constant.)

A
${C \over x}{e^{ - {1 \over x}}}$
B
${C \over {{x^2}}}{e^{ - {1 \over x}}}$
C
${C \over {{x^3}}}{e^{ - {1 \over x}}}$
D
$C{x^3}\,{1 \over {{e^x}}}$

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