^2 ^3dx= 1. 1 3 ^3+c 2. -1 3 +c 3. -1 3 ^3+c 4. 1 2 ^2x^3+c - Vidyadip

Question

$\int\text{x}^2\sin\text{x}^3\text{dx}=$

$\frac{1}{3}\cos\text{x}^3+\text{c}$
$-\frac{1}{3}\cos\text{x}+\text{c}$
$\frac{-1}{3}\cos\text{x}^3+\text{c}$
$\frac{1}{2}\sin^2\text{x}^3+\text{c}$

✓

Answer

$\frac{-1}{3}\cos\text{x}^3+\text{c}$

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 "M.C.Q (1 Marks)" from INTEGRALS→INTEGRALS — all question types→MATHS STD 12 Science question papers→Rajasthan Board STD 12 Science question papers→Rajasthan Board question paper generator→

Similar questions

The principal value of $\tan ^{-1}\left(\tan \frac{9 \pi}{8}\right)$ :

The area of the region bounded by $y = (x - 4)^2, y = 16 - x^2$ and the $x$ axis, is:

The probability that a leap year will have 53 fridays or 53 Saturdays is.

$\frac{2}{7}$
$\frac{3}{7}$
$\frac{4}{7}$
$\frac{1}{7}$

Objective function of an LPP is

For real numbers x and y, define xRy if $\text{x}-\text{y}+\sqrt{2}$ is an irrational number. Then the relation R is:

Reflexive.
Symmetric.
Transitive.
None of these.

An urn contains 9 balls two of which are red, three blue and four black. Three balls are drawn at random. The probability that they are of the same colour is,

$\frac{5}{84}$
$\frac{3}{9}$
$\frac{3}{7}$
$\frac{7}{17}$

Let $\text{f(x)}=\frac{\text{x}-1}{\text{x}+1},$ then f(f(x)) is:

$\frac{1}{\text{x}}$
$-\frac{1}{\text{x}}$
$\frac{1}{\text{x}+1}$
$\frac{1}{\text{x}-1}$

The area of a trapezium is defined by function $f$ and given by $f(x)=(10+x) \sqrt{100-x^2}$, then the area when it is maximised is

Five persone entered the lift cabin on the ground floor of an $8$ floor house. Suppose that each of them independently and with equal probability can leave the cabin at any flor beginning with the first, then the probability of all $5$ persons leaving at different floors is,

If the events $A$ and $B$ are mutually disjoint then the value of $P(A \cap B)$ is