1
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$\int_0^{\frac{\pi}{2}} \sqrt{\cos \theta} \cdot \sin ^3 \theta d \theta=$$ ............

A
$\frac{-20}{21}$
B
$\frac{-8}{21}$
C
$\frac{20}{21}$
D
$\frac{8}{21}$
2
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$\int_{\frac{\pi}{18}}^{\frac{4 \pi}{9}} \frac{2 \sqrt{\sin x}}{\sqrt{\sin x}+\sqrt{\cos x}} d x=\ldots \ldots$$

A
$\frac{7 \pi}{36}$
B
$\frac{5 \pi}{36}$
C
$\frac{7 \pi}{18}$
D
$\frac{5 \pi}{18}$
3
MHT CET 2019 2nd May Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\int_\limits a^b \frac{\sqrt{x}}{\sqrt{x}+\sqrt{a+b-x}} d x=\ldots \ldots$$

A
$a+b$
B
$\frac{b-a}{2}$
C
$a-b$
D
 $\frac{a-b}{2}$
4
MHT CET 2019 2nd May Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\int_0^1 x(1-x)^5 d x=\ldots \ldots$$

A
$\frac{1}{5}$
B
$\frac{1}{42}$
C
$\frac{1}{13}$
D
$\frac{13}{42}$
MHT CET Subjects
EXAM MAP