Integrate the following w. r. t. x: x^2+3 (x^2-1 ) (x^2-2 ) - Vidyadip

Question

Integrate the following w. r. t. x:

$\frac{x^2+3}{\left(x^2-1\right)\left(x^2-2\right)}$

✓

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.(5 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

Verify Rolle's theorem of the following function on the indicated interval
$\text{f}(\text{x})=\frac{\sin\text{x}}{\text{e}^{\text{x}}}\text{ on }0\leq\text{x}\leq\pi$

The rate of disintegration of a radioactive element at any time t is proportional to its mass at that time. Find the time during which the original mass of 1.5 gm will disintegrate into its mass of 0.5 gm.

If a young man drives his scooter at a speed of 25km/hr, he has to spend Rs. 2 per km on petrol. If he drives the scooter at a speed of 40km/hr, it produces air pollution and increases his expenditure on petrol to Rs. 5 per km. He has a maximum of Rs. 100 to spend on petrol and travel a maximum distance in one hour time with less polution. Express this problem as an LPP and solve it graphically. What value do you find here.

Prove the following :

$\tan ^{-1}\left[\frac{\cos \theta+\sin \theta}{\cos \theta-\sin \theta}\right]=\frac{\pi}{4}+\theta$ if $\theta \in\left(-\frac{\pi}{4}, \frac{\pi}{4}\right)$

Three urns contains $2$ white and $3$ black balls; $3$ white and $2$ black balls and $4$ white and $1$ black ball respectively. One ball is drawn from an urn chosen at random and it was found to be white. Find the probability that it was drawn from the first urn.

using interation, find the area of the region bounded by the triangle ragion, the euations of whose sides are$ y = 2x + 1, y = 3x + 1$ and $x = 4.$

Solve the following differential equation
$\frac{1}{\text{x}}\frac{\text{dy}}{\text{dx}}=\tan^{-1}\text{x},\text{x}\neq0$

Solve the following differential equations:

$y^2 d x+\left(x y+x^2\right) d y=0$

Prove that:
$\begin{vmatrix}\text{a}^2+1&\text{ab}&\text{ac}\\\text{ab}&\text{b}^2+1&\text{bc}\\\text{ca}&\text{cb}&\text{c}^2+1 \end{vmatrix}=1+\text{a}^2+\text{b}^2+\text{c}^2$

Evaluate the following intregals:$\int\frac{1}{3+2\cos^2\text{x}}\text{ dx}$