What is the area bounded by y = tan x , y = 0 and x = 4 π ?

Required area = ∫ 0 4 π tan x d x = ln ∣ sec 1 ∣ 0 4 π = ln 2 = 2 l n 2

Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea of Curve along axisEasy2 minPYQ_2011

MathematicsEasysingle choice

What is the area bounded by $y = tan x, y = 0$ and $x = \frac{π}{4} ?$

Answer:

Solution:

Required area $= \int_{0}^{\frac{π}{4}} tan x d x$ $= ln ∣ sec 1 ∣_{0}^{\frac{π}{4}} = ln 2 = \frac{l n 2}{2}$

Stream:BITSATSubject:MathematicsTopic:Area Under CurvesSubtopic:Area of Curve along axis

⏱ 2mℹ️ Source: PYQ_2011

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