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Mathematics · 2022 · 3 marks
CBSE 2022 · Region 5 · Set 1 · Q7
Evaluate: ∫_0^π / 4 (d x)/(1+ tan x)
Evaluate : \[\int_{0}^{\pi / 4} \frac{d x}{1+\tan x} \]
Marking-scheme solution
\[\begin{aligned}
& I=\int_{0}^{\pi / 4} \frac{d x}{1+\tan x} \\
& I=\int_{0}^{\pi / 4} \frac{d x}{1+\tan \left(\dfrac{\pi}{4}-x\right)} \\
& I=\int_{0}^{\pi / 4} \frac{d x}{1+\dfrac{1-\tan x}{1+\tan x}}
\end{aligned} \text { (using property) }
\]
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CBSE Class 12 Mathematics past-paper question from the 2022 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.