Question
Evaluate the following:

$\int x^2 \cos ^{-1} x d x$

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

Similar questions

In $\triangle A B C$, prove that
$\frac{\cos ^2 A -\cos ^2 B }{ a + b }+\frac{\cos ^2 B -\cos ^2 C }{ b + c }+\frac{\cos ^2 C -\cos ^2 A }{ c + a }=0$
Evaluate :

$\int \frac{3 x+4}{x^2+6 x+5} d x$

Simplify the following so that the new circuit has minimum number of switches. Also, draw the simplified circuit.
Image
If three numbers are added, their sum is $2.$ If two times the second number is subtracted from the sum of first and third numbers we get $8$ and if three times the first number is added to the sum of second and third numbers we get $4.$ Find the numbers using matrices.
In $\triangle A B C$, prove that $\frac{ b ^2- c ^2}{ a } \cos A +\frac{ c ^2- a ^2}{ b } \cos B +\frac{ a ^2- b ^2}{ c } \cos C =0$
The following is the p.d.f. (Probability Density Function) of a continuous random variable $X$ :
$\begin{aligned}
f(x) & =\frac{x}{32}, & 0& =0, & \text { otherwise }
\end{aligned}$
(a) Find the expression for c.d.f. (Cumulative Distribution Function) of $X$.
(b) Also find its value at $x=0.5$ and 9 .
If $\theta$ is the measure of the acute angle between the lines represented by the equation $a x^2+2 h x y+b y^2=0$, then prove that $\tan \theta=\left|\frac{2 \sqrt{h^2-a b}}{a+b}\right|$ where $a+b \neq 0$ and $b \neq 0$. Find the condition for colncident lines.
Find the area of the region lying between the parabolas:

$y^2=4 x$ and $x^2=4 y$

Prove that three vectors $\vec{a}, \vec{b}$ and $\vec{c}$ are coplanar if and only if there exists non-zero linear combination $x \vec{a}+y \vec{b}+z \vec{c}=\overrightarrow{0}$.
Find the joint equation of the pair of lines which bisect angle between the lines given by $x^2+$ $3 x y+2 y^2=0$