MCQ
Solution of $\int x \sin x d x$ is-
  • A
    xsinx+cosx + c
  • B
    -xcosx+sinx + c
  • C
    $x \sin x-6 \cos x+c$
  • D
    xcosx+sinx + c

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

Similar questions

Function $f(x) = \frac{{1 - \cos 4x}}{{8{x^2}}},$ where $x \ne 0$and $f(x) = k$ where $x = 0$ is a continous function at $x = 0$ then the value of $k$ will be $k = $ ........
Let a function $f: R \rightarrow R$ be defined as :
$f(x)=\left\{\begin{array}{ll} \int_{0}^{x}(5-|t-3|) d t, & x>4 \\ x^{2}+b x & , x \leq 4
\end{array}\right.$ 
where $b \in R$. If $f$ is continuous at $x=4$, then which of the following statements is NOT true?
Statement $- 1:$ The function $x^2 (e^x + e^{-x})$ is increasing for all $x > 0.$

Statement $-2:$ The functions $x^2e^x$ and $x^2e^{-x}$ are increasing for all $x > 0$ and the sum of two increasing functions in any interval $(a, b)$ is an increasing function in $(a, b).$

If $\text{A}=\begin{bmatrix}2&-1&3\\-4&5&1\end{bmatrix}$ and $\text{B}=\begin{bmatrix}2&3\\4&-2\\1&5\end{bmatrix},$ then:
  1. Only AB is defined.
  2. Only BA is defined.
  3. AB and BA both are defined.
  4. AB and BA both are not defined.
The differential equation of displacement of all $"Simple\ harmonic\ motions"$ of given period $2\pi /n$, is
If $\vec{\text{a}} $ lies in the plane of vectors $\vec{\text{b}}$ and $\vec{\text{c}},$ then which of the following is correct?

  1. $\big[\vec{\text{a}}\vec{\text{b}}\vec{\text{c}}\big]=0$

  2. $\big[\vec{\text{a}}\vec{\text{b}}\vec{\text{c}}\big]=1$

  3. $\big[\vec{\text{a}}\vec{\text{b}}\vec{\text{c}}\big]=3$

  4. $\big[\vec{\text{b}}\vec{\text{c}}\vec{\text{a}}\big]=1$

If the equation ${\sin ^{ - 1}}\left( {x - 1} \right) + {\cos ^{ - 1}}\left( {x - 3} \right) + {\tan ^{ - 1}}\left( {\frac{x}{{ - {x^2} + 2}}} \right) = m$ holds, then the value of $'m'$ is
Let $E$ and $F$ be two independent events. The probability that exactly one of them occurs is $\frac{11}{25}$ and the probability of none of them occurring is $\frac{2}{25}$. If $P(T)$ denotes the probability of occurrence of the event $T$, then

$(A)$ $P(E)=\frac{4}{5}, P(F)=\frac{3}{5}$

$(B)$ $P(E)=\frac{1}{5}, P(F)=\frac{2}{5}$

$(C)$ $P(E)=\frac{2}{5}, P(F)=\frac{1}{5}$

$(D)$ $P(E)=\frac{3}{5}, P(F)=\frac{4}{5}$

$\int\frac{\cos2\text{x}-\cos2\theta}{\cos\text{x}-\cos\theta}\text{dx}$  is equal to:
  1. $2(\sin\text{x}+\text{x}\cos\theta)+\text{c}$
  2. $2(\sin\text{x}-\text{x}\cos\theta)+\text{c}$
  3. $2(\sin\text{x}+2\text{x}\cos\theta)+\text{c}$
  4. $2(\sin\text{x}-2\text{x}\cos\theta)+\text{c}$
If the gradient of the tangent at any point $(x, y)$ of a curve which passes through the point $\left( {1,\,\frac{\pi }{4}} \right)$ is $\left\{ {\frac{y}{x} - {{\sin }^2}\left( {\frac{y}{x}} \right)} \right\},$ then equation of the curve is