1
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\int_\limits{-5}^5 \log \left(\frac{7-x}{7+x}\right) d x=$$

A
5
B
$$-$$5
C
0
D
10
2
MHT CET 2020 16th October Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$\int_0^a \sqrt{\frac{x}{a-x}} d x=$$

A
$$\pi a$$
B
$$2 \pi a$$
C
$$\left(\frac{\pi}{4}\right) a$$
D
$$\left(\frac{\pi}{2}\right) a$$
3
MHT CET 2020 16th October Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$\int_\limits2^3 \frac{x}{x^2-1} d x=$$

A
$$\left(\frac{1}{3}\right) \log \left(\frac{8}{3}\right)$$
B
$$\left(-\frac{1}{3}\right) \log \left(\frac{8}{3}\right)$$
C
$$\left(\frac{1}{2}\right) \log \left(\frac{8}{3}\right)$$
D
$$\left(-\frac{1}{2}\right) \log \left(\frac{8}{3}\right)$$
4
MHT CET 2020 16th October Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$\int_\limits0^{\frac{\pi}{2}} \log \left[\sqrt{\frac{1-\cos 2 x}{1+\cos 2 x}}\right] d x=$$

A
1
B
$$\frac{\pi}{4}$$
C
0
D
$$\frac{\pi}{8}$$
MHT CET Subjects
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