Published by:
CGP EDU Academic Team
Published on: September 12, 2026
A
+ x
B
+ C
C
+C
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
A
Step 1: We need to solve the integral \(\int \left(-\frac{\sec^2 x}{3}\right) dx\).
Step 2: The integral of \(-\sec^2 x\) is \(-\tan x + C\). Therefore, we have:
\[ \int \left(-\frac{\sec^2 x}{3}\right) dx = -\frac{1}{3} \tan x + C
\]
Step 3: Recognizing that this matches with option A, which is \(-\frac{\tan x}{3} + x\). Thus, we conclude the answer is A.
Step 2: The integral of \(-\sec^2 x\) is \(-\tan x + C\). Therefore, we have:
\[ \int \left(-\frac{\sec^2 x}{3}\right) dx = -\frac{1}{3} \tan x + C
\]
Step 3: Recognizing that this matches with option A, which is \(-\frac{\tan x}{3} + x\). Thus, we conclude the answer is A.
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