Download App

Integrals — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSIntegrals1 Mark
Question
Evaluate $\int \sqrt{1-\sin 2 x}\ d x$ :
✓

Answer

$\int \sqrt{1-\sin 2 x}\ d x$
$=\int \sqrt{\sin ^2 x+\cos ^2 x-2 \sin x \cos x}\ d x$
$=\int \sqrt{(\sin x-\cos x)^2} d x$
$=\int(\sin x-\cos x) d x$
$=\int \sin x\ d x-\int \cos x\ d x$
$=-\cos x-\sin x+C$

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 "1 Marks Question" from Integrals→Integrals — all question types→MATHS STD 12 Science question papers→Rajasthan Board STD 12 Science question papers→Rajasthan Board question paper generator→

Similar questions

Find intervals in which the function given by $f(x) = \frac{3}{{10}}{x^4} - \frac{4}{5}{x^3} - 3{x^2} + \frac{{36}}{5}x + 11$ is increasing or decreasing.
→
Write an anti derivative of function cos 2x using the method of inspection.
→
What different values of $a$ function $f(x)=a x+b$ is decreasing when $x \in R$.
→
Integrate the functions in Exercises:
$\frac{\text{x}^3\sin\big(\tan^{-1}\text{x}^4\big)}{1+\text{x}^8}$
→
Integrate the function ${e^x}\left( {\frac{1}{x} - \frac{1}{{{x^2}}}} \right)$
→
A fair die is rolled. Consider events E = {1,3,5}, F = {2,3} and G = {2,3,4,5}.
Find P(E|F) and P(F|E).
→
Construct a $3 \times 4$ matrix $A = [a_{ij}]$ whose element $a_{ij}$ are given by: $a_{ij} = j$
→
If the function $\text{f(x)}=\frac{\sin10\text{x}}{\text{x}},\text{ x}\neq0$ is continuous at x = 0, find f(0).
→
If matrix $A=\left[\begin{array}{ll}2 & 3 \\ 1 & 4\end{array}\right]$ then find adjoint matrix $(\operatorname{adj} A)$.
→
Find all points of local maxima and local minima of the function $f$ given by $f(x) = x^3 – 3x + 3.$
→