Skip to main content
Back to INDEFINITE INTEGRATION

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Medium
1 of 1
Application +4 | -1
If ∫sin⁡  xcos⁡  x  (1  +  cos⁡  x)  dx=f(x)  +  c\int \frac{{\sin \,\,x}}{{\cos \,\,x\,\,\left( {1\,\, + \,\,\cos \,\,x} \right)}}\,\,dx = f\left( x \right)\,\, + \,\,c is equal to
View answer and explanation
Correct option: A
log⁡  ∣1+cos⁡  xcos⁡  x∣\log \,\,\left| {\frac{{1 + \cos \,\,x}}{{\cos \,\,x}}} \right|
Option A is correct because the integral of the given function simplifies to the logarithm of the absolute value of (1 + cos x) / cos x.

More Questions from INDEFINITE INTEGRATION

Practice All Chapter MCQs →
Type at least 2 characters or jump directly:
🔓

Save your learning progress

Sign in with a free account to save your practice answers and quiz results, then return to them when you revise.