JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Hard

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Analyzing +4 | -1

\int_0^1 \alpha e^{\beta x^2} \sin (x+k) d x=0

for some

\alpha, \beta \in R

\alpha \neq 0

, then the value of

k

can belong to the interval

View answer and explanation

Correct option: C

\left[\frac{3 \pi}{4}, \frac{5 \pi}{6}\right]

Option C ([3π/4, 5π/6]) is correct because the sine function must change sign within the interval [0, 1] for the integral to be zero.

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