Evaluate : _0^ / 4 1+ 2 x d x - Vidyadip

Question

Evaluate :

$\int_0^{\pi / 4} \sqrt{1+\sin 2 x} \cdot d x$

✓

Answer

Get the step-by-step solution for this question inside the Vidyadip app.

Get the answer in the app

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 "Solve the Following Question.(2 Marks)" from Definite Integration→Definite Integration — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

If $\begin{bmatrix}1&0\\\text{y}&5\end{bmatrix}+2\begin{bmatrix}\text{x}&0\\1&-2\end{bmatrix}=\text{I},$ where I is 2×2 unit matrix. Find x and y.

If $\log _{10}\left(\frac{x^2-y^3}{x^3+y^3}\right)=2$, show that $\frac{d y}{d x}=-\frac{99 x^2}{101 y^2}$

Find the values of x for which the following functions are strictly decreasiong:

$f(x)=2 x^3-3 x^2-12 x+6$

Given two independent events A and B such that P(A) = 0.3 and P(B) = 0.6. Find
$\text{P}(\overline{\text{A}}\cap\overline{\text{B}})$

Evaluate the following:

$\int_0^{\pi / 4} \frac{\tan ^3 x}{1+\cos 2 x} d x$

Determine the order and degree of the following differential equations. state also whether they are linear or non linear.
$\text{x}+\Big(\frac{\text{dy}}{\text{dx}}\Big)=\sqrt{1+\Big(\frac{\text{dy}}{\text{dx}}\Big)^2}$

If $A =\left[ a _{ ij }\right]$ is a $2 \times 2$ matrix such that $a _{ ij }= i +2 j$, write A .

Suppose that a radio tube inserted into a certain type of set has probability $0.2$ of functioning more than $500$ hours. If we test $4$ tubes at random what is the probability that exactly three of these tubes function for more than $500$ hours?

Find the general solutions of the following equations :

$\tan \theta=\frac{1}{\sqrt{3}}$

6 boys and 6 girls sit in a row at random. Find the probability that all the girls sit together.