Download App

STD 12 - 7.1 inderfinite integral — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 12 - 7.1 inderfinite integral4 Marks
MCQ
$\int_{}^{} {\left( {1 + x + \frac{{{x^2}}}{{2\;!}} + \frac{{{x^3}}}{{3\;!}} + ..........} \right)\;dx = } $
  • A
    $ - {e^x} + c$
  • ✓
    ${e^x} + c$
  • C
    ${e^{ - x}} + c$
  • D
    $ - {e^{ - x}} + c$
✓

Answer

Correct option: B.
${e^x} + c$
b
(b)$\int_{}^{} {\left( {1 + x + \frac{{{x^2}}}{{2\,!}} + \frac{{{x^3}}}{{3\,!}} + .......} \right){\rm{ }}dx = \int_{}^{} {{e^x}dx = {e^x} + 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

JEE STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

Let $\sum\limits_{k = 1}^{10} {f\,(a\, + \,k)} \, = \,16\,({2^{10}}\, - \,1),$ where the function $f$ satisfies $f(x + y) = f(x) f(y)$ for all natural numbers $x, y$ and $f(1) = 2.$ Then the natural number $‘ a '$ is
→
Number of equations of the form $ax^2 + bx + 1 = 0$ having real roots, where $a, b \in \{1, 2, 3, 4\}$ is-
→
Integers $1,2,3, \ldots \ldots, n,(n \geq 3)$ are written on a black board and an integer $k (1 < k < n )$ is erased. The average of the remaining numbers is $16$ . Then $n + k$ is
→
The value of $\cos A - \sin A$ when $A = \frac{{5\pi }}{4},$ is
→
$\cos \,\,2\theta + 2\,\,\cos \theta $ is always
→
The probabilities of three mutually exclusive events are $\frac{2}{3} ,  \frac{1}{4}$ and $\frac{1}{6}$. The statement is
→
If the function $f: R \rightarrow R$ is defined by $f ( x )=| x |( x -\sin x )$, then which of the following statements is $TRUE$ ?
→
The value of $\left| {\,\begin{array}{*{20}{c}}a&{a + b}&{a + 2b}\\{a + 2b}&a&{a + b}\\{a + b}&{a + 2b}&a\end{array}\,} \right|$ is equal to
→
The coefficient of $x^{4}$ in the expansion of $\left(1+x+x^{2}+x^{3}\right)^{6}$ in powers of $x,$ is
→
The set of real values of $x$ for which ${2^{{{\log }_{\sqrt 2 }}(x - 1)}} > x + 5$ is
→