Aspire Faculty ID #13524 · Topic: JAMIA MILLIA ISLAMIA MCA 2024 · Just now
JAMIA MILLIA ISLAMIA MCA 2024

$\displaystyle \int x^{2}\sin(x^{3}),dx =$

Solution

Let $u=x^{3}\Rightarrow du=3x^{2}dx\Rightarrow x^{2}dx=\tfrac{1}{3}du$. $\int x^{2}\sin(x^{3})dx=\tfrac13\int\sin u,du=-\tfrac13\cos x+C.$
← Previous Next →

Previous 10 Questions — JAMIA MILLIA ISLAMIA MCA 2024

Nearest first
1
The function $f(x)=x+\cos x$ is
Topic: JAMIA MILLIA ISLAMIA MCA 2024
 2
If $x^{,y}y^{,x}=16$, then $\left.\dfrac{dy}{dx}\right|_{(2,2)}$ is
Topic: JAMIA MILLIA ISLAMIA MCA 2024
 3
If $\sec!\left(\dfrac{x-y}{x+y}\right)=a$, then $\dfrac{dy}{dx}$ is
Topic: JAMIA MILLIA ISLAMIA MCA 2024
 4
What is $\displaystyle \lim_{x\to 0}\left(\frac{x\tan x}{\cot x}\right)$?
Topic: JAMIA MILLIA ISLAMIA MCA 2024
 5
If $A$ and $B$ are symmetric matrices of the same order, then $(AB - BA)$ is a
Topic: JAMIA MILLIA ISLAMIA MCA 2024
 6
Let $A$ be a non-singular matrix of order $2 \times 2$. Then $|A^{-1}| =$
Topic: JAMIA MILLIA ISLAMIA MCA 2024
 7
A matrix $A = [a_{ij}]_{m \times n}$ is said to be symmetric if
Topic: JAMIA MILLIA ISLAMIA MCA 2024
 8
A square matrix $A = [a_{ij}]{n \times n}$ is called a lower triangular matrix if $a{ij} = 0$ for
Topic: JAMIA MILLIA ISLAMIA MCA 2024
 9
If $A$ is a square matrix such that $A^2 = A$, then $(I - A)^3 + A$ is equal to
Topic: JAMIA MILLIA ISLAMIA MCA 2024
 10
$\sin(\tan^{-1}x)$, where $|x| < 1$, is equal to
Topic: JAMIA MILLIA ISLAMIA MCA 2024

Next 10 Questions — JAMIA MILLIA ISLAMIA MCA 2024

Ascending by ID
1
The objective function of a linear programming problem is
Topic: JAMIA MILLIA ISLAMIA MCA 2024
 2
If $|z_1| = 4,\ |z_2| = 3$, then what is the value of $|z_1 + z_2 + 3 + 4i|$ ?
Topic: JAMIA MILLIA ISLAMIA MCA 2024
 3
Region represented by $x \ge 0,\ y \ge 0$ is
Topic: JAMIA MILLIA ISLAMIA MCA 2024
 4
An urn contains 10 black and 5 white balls. Two balls are drawn from the urn one after the other without replacement. W…
Topic: JAMIA MILLIA ISLAMIA MCA 2024
 5
The absolute maximum value of $y = x^3 - 3x + 2$ in $0 \le x \le 2$ is
Topic: JAMIA MILLIA ISLAMIA MCA 2024
 6
$\displaystyle \int_{0}^{\pi} \sin^2 x,dx =$
Topic: JAMIA MILLIA ISLAMIA MCA 2024
 7
If$P(A) = 0.4,\ P(B) = 0.7,\ P(B|A) = 0.6$, then $P(A \cup B)$ is
Topic: JAMIA MILLIA ISLAMIA MCA 2024
 8
The area bounded by the curves $y^2 = 4x$ and $y = x$ is equal to
Topic: JAMIA MILLIA ISLAMIA MCA 2024
 9
What is the order of the differential equation $y'' + 5y' + 6 = 0$?
Topic: JAMIA MILLIA ISLAMIA MCA 2024
 10
The side of an equilateral triangle is increasing at the rate of $2\ \text{cm/s}$. The rate at which area increases whe…
Topic: JAMIA MILLIA ISLAMIA MCA 2024
Ask Your Question or Put Your Review.

loading...