Integrate the following w.r.t. x: ( x)+( x)^ -2 - Vidyadip

Question

Integrate the following w.r.t. x:

$\log (\log x)+(\log x)^{-2}$

✓

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.(4 Marks)" from Indefinite Integration→Indefinite Integration — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

A man of height $180\ cm$ is moving away from a lamp post at the rate of $1.2$ meters per second. If the height of the lamp post is $4.5$ meters, find the rate at which
(i) his shadow is lengthening
(ii) the tip of the shadow is moving

Find the local maximum and local minimum value of $f(x) = x^3 − 3x^2 − 24x + 5$

Suppose the error involved in making a certain measurement is a continuous r.v. X with p.d.f.
$f(x) = k(4 – x^2), -2 \leq x \leq 2$ and $= 0$ otherwise.
Compute
$P(-1 < X < 1)$

A(– 2, 3, 4), B(1, 1, 2) and C(4, –1, 0) are three points. Find the Cartesian equations of the line AB and show that points A, B, C are collinear

Find the volume of the parallelepiped spanned by the diagonals of the three faces of a cube of side a that meet at one vertex of the cube.

Prove that: $\int \sqrt{x^2+a^2} \cdot d x=\frac{x}{2} \sqrt{x^2+a^2}+\frac{a^2}{2} \log \left|x+\sqrt{x^2+a^2}\right|+c$ .

Find a unit vector perpendicular to the plane containing the point (a, 0, 0), (0, b, 0), and (0, 0, c). What is the area of the triangle with these vertices?

If in a tetrahedron, edges in each of the two pairs of opposite edges are perpendicular, then show that the edges in the third pair are also perpendicular.

If the population of a town increases at a rate proportional to the population at that time. If the population increases from 40 thousand to 60 thousand in 40 years, what will be the population in another 20 years? $\left(\right.$ Given $\left.\sqrt{\frac{3}{2}}=1.2247\right)$

A person’s assets start reducing in such a way that the rate of reduction of assets is proportional to the square root of the assets existing at that moment. If the assets at the beginning are ₹ 10 lakhs and they dwindle down to ₹ 10,000 after 2 years, show that theperson will be bankrupt in $2 \frac{2}{9}$ years from the start.