The area under the curve y = ∣ cos x − sin x ∣ , 0 ≤ x ≤ 2 π , and above x -axis is :

y = ∣ cos x − sin x ∣ Required area = 2 ∫ 0 π /4 ( cos x − sin x ) d x = 2 [ sin x + cos x ] 0 π /4 = 2 [ 2 2 − 1 ] = ( 2 2 − 2 ) sq. units

Start Free Mock LoginAlready registered? Login here

Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea bounded by two curvesMedium2 minPYQ_2019

MathematicsMediumsingle choice

The area under the curve $y = ∣ cos x - sin x ∣$ , $0 \leq x \leq \frac{π}{2}$ , and above $x$ -axis is :

Options:

Answer:

Solution:

$y = ∣ cos x - sin x ∣$
$Required area = 2 \int_{0}^{π /4} (cos x - sin x) d x = 2 [sin x + cos x]_{0}^{π /4} = 2 [\frac{2}{2} - 1] = (22 - 2) sq. units$

Stream:VITEEESubject:MathematicsTopic:Area Under CurvesSubtopic:Area bounded by two curves

⏱ 2mℹ️ Source: PYQ_2019

Doubts & Discussion

Loading discussions...