Download App

Question Bank [2022] — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsQuestion Bank [2022]1 Mark
Question
$\int \sqrt{1+\sin 2 x} d x$
✓

Answer

$\int \sqrt{1+\sin 2 x} d x=\int \sqrt{\sin ^2 x+\cos ^2 x+2 \sin x \cos x} d x$
$=\int \sqrt{(\cos x+\sin x)^2} d x$
$=\int(\cos x+\sin x) d x$
$=\sin x -\cos 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 "Answer the following questions in short." from Question Bank [2022]→Question Bank [2022] — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

Evaluate $\sin \left[\cos ^{-1}\left(\frac{3}{5}\right)\right]$
→
Supoose that $\bar{a}=0$.If $\bar{a} \cdot \bar{b}=\bar{a} \cdot \bar{c}$ then is $\bar{b}=\bar{c}$ ?
→
Evaluate :

$\int_{-3}^3 \frac{x^3}{9-x^2} \cdot d x$

→
Check the validity of the Rolle’s theorem for the following functions.

$f(x)=x^{\frac{2}{3}}, x \in[-1,1]$

→
Differentiate the following w. r. t. x.$y=\sqrt{\sin x^3}$
→
Determine the order and degree of the following differential equations. state also whether they are linear or non linear.
$\text{y}=\text{px}+\sqrt{\text{a}^2\text{p}^2+\text{b}^2},$ where $\text{p}=\frac{\text{dy}}{\text{dx}}$
→
If $\text{A}[\text{a}_{\text{ij}}]=\begin{bmatrix}2&3&-5\\1&4&9\\0&7&-2\end{bmatrix}$ and $\text{B}=[\text{b}_\text{ij}]=\begin{bmatrix}2&-1\\-3&4\\1&-2\end{bmatrix}$
Then find $a_{11} + b_{11} + a_{22}b_{22}$
→
Integrate the following with respect to the respective variable:

$(6 x+5)^{\frac{3}{2}}$

→
Find a unit vector in the opposite direction of $\overline{ u }$. Where $\overline{ u }=8 \hat{ i }+3 \hat{ j }-\widehat{ k }$
→
Solve the following differential equations.

$\frac{d y}{d x}=\frac{1+y^2}{1+x^2}$

→