MCQ
The value of $\int e^{5 x-3} d x$ is
  • A
    $e^{5 x-3}+c$
  • B
    $\frac{1}{5}\left(e^{5 x-3}\right)+c$
  • C
    $5 e^{5 x-3}+c$
  • D
    $e^{5 x}+c$

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

Choose the correct answer from the given four options.
A and B are events such that P(A) = 0.4, P(B) = 0.3 and $\text{P}(\text{A}\cup\text{B})=0.5,$ Then $\text{P}(\text{B}'\cap\text{A})$ equals:
  1. $\frac{2}{3}$
  2. $\frac{1}{2}$
  3. $\frac{3}{10}$
  4. $\frac{1}{5}$
If $B = \left[ {\begin{array}{*{20}{c}}
5&{2\alpha }&1\\
0&2&1\\
\alpha &3&{ - 1}
\end{array}} \right]$ is the inverse of a $3 \times 3$ matrix $A$, then the sum of all values of $\alpha $ for which $det\, (A) + 1 = 0$, is
If $i,\,j,\,k$ are the unit vectors and mutually perpendicular, then $[i\,k\,j]$ is equal to
$\int_{}^{} {\frac{1}{{{{[{{(x - 1)}^3}{{(x + 2)}^5}]}^{1/4}}}}\;dx} $ is equal to
Let $A$ be a square matrix all of whose entries are integers. Then which one of the following is true $?$
Choose the correct answer from the given four options.
Two dice are thrown. If it is known that the sum of numbers on the dice was less than 6, the probability of getting a sum 3, is:
  1. $\frac{1}{18}$
  2. $\frac{5}{18}$
  3. $\frac{1}{5}$
  4. $\frac{2}{5}$
Let $\vec a = 2\hat i + \hat j - 2\hat k$ and $\vec b = \hat i + \hat j$ . Let $\vec c$ be vector such that $\left| {\vec c - \vec a} \right| = 3,\;\left| {\left( {\vec a \times \vec b} \right) \times \vec c} \right| = 3$ and the angle between $\vec c$ and $\vec a \times \vec b$ be $30^\circ $ . Then $\vec a \cdot \vec c$ is equal to :
Choose the correct answer from the given four options.
Let F = 3x - 4y be the objective function.
Minimum value of F is:
  1. 0.
  2. -16.
  3. 12.
  4. Does not exist.
If  $y = {\tan ^{ - 1}}\left( {\frac{1}{{{x^2} + x + 1}}} \right) + {\tan ^{ - 1}}\left( {\frac{1}{{{x^2} + 3x + 3}}} \right) $ $+ {\tan ^{ - 1}}\left( {\frac{1}{{{x^2} + 5x + 7}}} \right) + ......$ up to $n$ terms, then $\frac{dy}{dx}$ is equal to
$\int\limits_0^\infty  {\frac{{{x^3}}}{{1 + x + 2{x^2} + 2{x^3} + {x^4} + {x^5}}}} dx$