OP Malhotra Class 12 Maths Solutions Chapter 14 Indefinite Integral-2 Ex 14(b)

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S Chand Class 12 ICSE Maths Solutions Chapter 14 Indefinite Integral-2 Ex 14(b)

Question 1.
Evaluate:
\(\int \frac{\cos 2 x}{\cos x} d x\)
Solution:

Question 2.
\(\int \frac{\sin x}{\sin 2 x} d x\)
Solution:

Question 3.
\(\int \frac{\sin x}{\sin (x+a)} d x\)
Solution:

Question 4.
\(\int \frac{\sin (x-a)}{\sin x} d x\)
Solution:

Question 5.
\(\int \frac{\cos x}{\sin (x+a)} d x\)
Solution:

Question 6.
\(\int \frac{d x}{\sin x \cos ^2 x}\)
Solution:

Question 7.
\(\int \frac{d x}{\sin x \cos ^3 x}\)
Solution:

Question 8.
\(\int \frac{\sin 2 x}{\sin 5 x \sin 3 x} d x\)
Solution:

Question 9.
\(\int \frac{d x}{\cos 3 x-\cos x}\)
Solution:

Question 10.
\(\int[1+2 \tan x(\tan x+\sec x)]^{1 / 2} d x\)
Solution:

Question 11.
\(\int \frac{d x}{\sin (x-a) \cos (x-b)} d x\)
Solution:

Question 12.
\(\int \frac{d x}{\cos (x-a) \cos (x-b)}\)
Solution:

Question 13.
\(\int\left(\frac{1+\sin x}{1+\cos x}\right) d x\)
Solution:

Question 14.
Evaluate
\(\int \frac{d x}{\sqrt{1-\sin x}}\)
Solution:

Question 15.
\(\int \frac{\sin x}{\sqrt{1+\sin x}} d x\)
Solution: