Evaluate the following: _0^ / 2 [2 ( x)- ( 2 x)] d x - Vidyadip

Question

Evaluate the following:

$\int_0^{\pi / 2}[2 \log (\sin x)-\log (\sin 2 x)] d x$

✓

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

Evaluate the following integral:
$\int\frac{1}{\text{a}^2-\text{b}^2\text{x}^2}\text{ dx}$

If f : R → R is defined by f(x) = 3x + 2, find f(f(x)).

Classify the following functions as injection, surjection or bijection:
$f : N \rightarrow N$ given by $f(x) = x^2$

Find the angle between the vectors $\vec{\text{a}} $ and $\vec{\text{b}},$ where$\vec{\text{a}}=\hat {\text{i}}+2\hat{\text{j}}-\hat{\text{k}},$ and $\vec{\text{b}} =\hat{\text{i}}-\hat{\text{j}}+\hat{\text{k}}$

Write the projection of $\vec{\text{r}}=3\hat{\text{i}}-4\hat{\text{j}}+12\hat{\text{k}}$ on the coordinate axes.

Find the set values of $\text{cosec}^{-1}\Big(\frac{\sqrt3}{2}\Big)$

Write the value of $\tan^{-1}\Big\{\tan\Big(\frac{15\pi}{4}\Big)\Big\}.$

Find the direction ratios of a vector perpendicular to the two lines whose direction ratios are $-2,1,-1$ and $-3,-4,1$

If $\text{f(x)}=\log_\text{e}(\log_\text{e}\text{x}),$ then write the value of f'(e).

Prove that $\left|\begin{array}{lll}x+y & y+\mathbf{z} & \mathbf{z}+x \\ \mathbf{z}+x & x+y & y+\mathbf{z} \\ y+\mathbf{z} & \mathbf{z}+x & x+y\end{array}\right|=2\left|\begin{array}{lll}x & y & \mathbf{z} \\ \mathbf{z} & x & y \\ y & \mathbf{z} & x\end{array}\right|$