_0^ 2 ^2 d = - Vidyadip

MCQ

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

A
$\frac{-20}{21}$
✓
$\frac{8}{21}$
C
$\frac{-8}{21}$
D
$\frac{-8}{21}$

✓

Answer

Correct option: B.

$\frac{8}{21}$

B

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "MCQ" from 2019 MHT-CET PCM SET - 03→2019 MHT-CET PCM SET - 03 — all question types→MHT - CET STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

A tube closed at one end and containing air produces fundamental note of frequency 256 Hz. If the tube is open at both ends, the fundamental frequency will be ____________.

Calcite crystals used in Nicol's prism are formed of ______.

The matrix M = `[(0,1,2),(1,2,3),(3,1,1)]` and its inverse is N = [nij]. What is the element $n_{23}$ of matrix N?

A particle is executing simple harmonic motion with frequency f. The frequency at which its kinetic energy changes into potential energy is ______.

In LCR series circuit, an alternating e.m.f. 'e' and current 'i' are given by the equations e = 100 sin (100 t) volt,

$i =100 \sin \left(100 t +\frac{\pi}{3}\right) mA$..

The average power dissipated in the circuit will be ____________.

Match the list I with List II and select the correct answer.

	List I		List II
i.	Vector	a.	Resistant to cotton bollworms.
ii.	Downstream processing	b.	Mobile genetic elements
iii.	Cry Proteins	c.	Controls com borer
iv.	Transposons	d.	Purifying protein in bio harmaceuticals.

The area of the region bounded by the parabolas $4 x^2=25 y$ and $5 y^2=16 x$ is ______

If a carrier woman marries a normal visioned man, what is the percentage possibility of sons being colourblind?

$\frac{1-2\left[\cos 60^{\circ}-\cos 80^{\circ}\right]}{2 \sin 10^{\circ}}=$

Allen's Rule describes ____________.