Find the value of 1 x [6( x)^2+7( x)+2 ] d x - Vidyadip

Question

Find the value of $\int \frac{1}{x\left[6(\log x)^2+7(\log x)+2\right]} d x$

✓

Answer

self

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 question [ 4 mark question ]" from [ Question Bank ]→[ Question Bank ] — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

Prove that $\int_0^{\pi / 2} \log (\sin x) d x=-\frac{\pi}{2} \log 2$

Solve the differential equation $\cos ^2 x \frac{d y}{d x}+y=\tan x\left(0 \leq x \leq \frac{\pi}{2}\right)$

A company manufactures two types of novelty souvenirs made of plywood. Souvenirs of type A require 5 minutes each for cutting and 10 minutes each for assembling. Souvenirs of type B require 8 minutes each for cutting and 8 minutes each for assembling. There are 3 hours 20 minutes available for cutting and 4 hours for assembling. The profit is Rs. 5 each for type A and Rs. 6 each for type B souvenirs. How many souvenirs of each type should be manufactured for maximum profit.

If given function is continuous at $x =0$ then write the value of $k. f(x)=\left\{\begin{array}{cc} \frac{\log (1+a x)-\log (1-b x)}{x}, & x \neq 0 \\ k, & x=0 \end{array}\right.$

Function $f(x)=\left\{\begin{array}{c}x^2+m, \text { when } x \neq 0 \\ -x^2-m, \text { when } x=2\end{array}\right.$, is continuous at $x=0$ then find value of $m$.

Solve the following linear programming problem graphically.
$
\begin{array}{cl}
\operatorname{maximize} & z=20 x+30 y \\
\text { constraints } & x+2 y \leq 20 \\
& 3 x+2 y \leq 30 \\
& x \geq 0, y \geq 0
\end{array}
$

Prove that $\tan \left(\frac{\pi}{4}+\frac{1}{2} \cos ^{-1} \frac{x}{y}\right)+\tan \left(\frac{\pi}{4}-\frac{1}{2} \cos ^{-1} \frac{x}{y}\right)=\frac{2 y}{x}$

If $y=\sin \left[2 \tan ^{-1}\left(\sqrt{\frac{1-x}{1+x}}\right)\right]$ then find $\frac{d y}{d x}$.

Solve the differential equation $(x+y) d y+(x-y) d x=0$, given $y =1$ when $x =1$.

Solve the differential equation $\frac{d y}{d x}+y \tan x=y^2 \sec x$.