Class 12

18. Indefinite Integration question bank (Maths)

Practice 674 free Class 12 Maths - 18. Indefinite Integration questions with answers and step-by-step solutions.

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Q1.

If \( \int \frac{\cos 8x + 1}{\tan 2x - \cot 2x} \, dx = a \cos 8x + c \), then \( a = \)

(A)
\( -\frac{1}{16} \)
(B)
\( \frac{1}{8} \)
(C)
\( \frac{1}{16} \)
(D)
\( -\frac{1}{8} \)
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Q2.

If \( \int \frac{\log (t + \sqrt{1 + t^2})}{\sqrt{1 + t^2}} \, dt = \frac{1}{2} (g(t))^2 + C \), where \(C\) is a constant, then \( g(2) \) is equal to

(A)
\( 2\log (2 + \sqrt{5}) \)
(B)
\( \log (2 + \sqrt{5}) \)
(C)
\( \frac{1}{\sqrt{5}} \log (2 + \sqrt{5}) \)
(D)
\( \frac{1}{2}\log (2 + \sqrt{5}) \)
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