MCQ
The value of $\int \sec ^2(2 x+1) d x$ is
  • A
    $\tan (2 x+1)+c$
  • B
    $2 \sec (2 x+1)+c$
  • C
    $\frac{1}{2} \tan (2 x+1)+c$
  • D
    none of these

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

Let $f: R -\{3\} \rightarrow R -\{1\}$ be defined by $f(x)=\frac{x-2}{x-3} .$ Let $g: R \rightarrow R$ be given as $g ( x )=2 x -3$. Then, the sum of all the values of $x$ for which $f^{-1}( x )+ g ^{-1}( x )=\frac{13}{2}$ is equal to ...... .
The point at which the maximum value of $Z=3 x+2 y$ subject to the constraints $x+2 y \leq 2, x \geq 0, y \geq 0$ is $.....$
The value of a for which the system of equations ${a^3}x + {(a + 1)^3}y + {(a + 2)^3}z = 0,$ $ax + (a + 1)y + (a + 2)z = 0,$ $x + y + z = 0,$ has a non zero solution is
Let a vector $\vec{\text{r}}$ make angles 60°, 30° with it and y-axes respectively. Find the angle $\vec{\text{r}}$ make with z-axis:
If for a continuous function $f(x),$ $\int\limits_{ - \pi }^t {(f(x) + x\,\,dx)}  = {\pi ^2} - {t^2},$ for all  $t\, \ge  - \pi ,$ then $f\left( { - \frac{\pi }{3}} \right)$ is equal to
The value of $\left| {\,\begin{array}{*{20}{c}}{441}&{442}&{443}\\{445}&{446}&{447}\\{449}&{450}&{451}\end{array}\,} \right|$ is
Let $A$ be a $3 \times 3$ real matrix such that $\mathrm{A}\left(\begin{array}{l}1 \\ 0 \\ 1\end{array}\right)=2\left(\begin{array}{l}1 \\ 0 \\ 1\end{array}\right), \mathrm{A}\left(\begin{array}{l}-1 \\ 0 \\ 1\end{array}\right)=4\left(\begin{array}{l}-1 \\ 0 \\ 1\end{array}\right), \mathrm{A}\left(\begin{array}{l}0 \\ 1 \\ 0\end{array}\right)=2\left(\begin{array}{l}0 \\ 1 \\ 0\end{array}\right)$.  Then, the system $(A-3 I)\left(\begin{array}{l}x \\ y \\ z\end{array}\right)=\left(\begin{array}{l}1 \\ 2 \\ 3\end{array}\right)$ has
The projection of a directed line segment on the co-ordinate axes are 12, 4, 3, then the direction cosines of the line are:
The area bounded by the curve $\text{y}=\log_{\text{e}}\text{x}$ and x-axis and the straight line x = e is:
  1. $\text{e sq. units}$
  2. $1\text{ sq. units}$
  3. $1-\frac{1}{\text{e}}\text{ sq. units}$
  4. $1+\frac{1}{\text{e}}\text{ sq. units}$
Let $f: R \rightarrow R$ satisfy the equation $f(x+y)=f(x) \cdot f(y)$ for all $x, y \in R$ and
$f ( x ) \neq 0$ for any $x \in R .$ If Ihe function $f$ is differentiable at $x =0$ and $f^{\prime}(0)=3,$ then $\lim _{h \rightarrow 0} \frac{1}{h}(f(h)-1)$ is equal to ....... .