If I=| displaystyle∫25( sin x dx/1+x2)| , then

Question

If I=| displaystyle∫25( sin x dx/1+x2)| , then (A) I≥(1/4) (B) I lies in the interval ((1/4),(1/5)) (C) I lies in the interval ((1/5),(1/6)) (D) I≤(1/6)

Tardigrade Admin · Accepted Answer

Correct answer is (a) I≥(1/4)

Q. If $I = ∣ ∣ \int_{2}^{5} \frac{sin x d x}{1 + x ^{2}} ∣ ∣$ , then

$I \geq \frac{1}{4}$

I lies in the interval $(\frac{1}{4}, \frac{1}{5})$

I lies in the interval $(\frac{1}{5}, \frac{1}{6})$

$I \leq \frac{1}{6}$

Correct answer is (a) $I \geq \frac{1}{4}$

Q. If I=∣∣​∫25​1+x2sinxdx​​∣∣​ , then

I≥41​

I lies in the interval (41​,51​)

I lies in the interval (51​,61​)

I≤61​

Correct answer is (a) I≥41​

Q. If $I = ∣ ∣ \int_{2}^{5} \frac{sin x d x}{1 + x ^{2}} ∣ ∣$ , then

$I \geq \frac{1}{4}$

I lies in the interval $(\frac{1}{4}, \frac{1}{5})$

I lies in the interval $(\frac{1}{5}, \frac{1}{6})$

$I \leq \frac{1}{6}$

Correct answer is (a) $I \geq \frac{1}{4}$