Download App

STD 12 - 7.1 inderfinite integral — Mathematics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceMathematicsSTD 12 - 7.1 inderfinite integral1 Mark
MCQ
$\int_{}^{} {\frac{{dx}}{{(x + 1)(x + 2)}} = } $
  • A
    $\log \frac{{x + 2}}{{x + 1}} + c$
  • B
    $\log (x + 1) + \log (x + 2) + c$
  • ✓
    $\log \frac{{x + 1}}{{x + 2}} + c$
  • D
    None of these
✓

Answer

Correct option: C.
$\log \frac{{x + 1}}{{x + 2}} + c$
c
(c)$\int_{}^{} {\frac{{dx}}{{(x + 1)(x + 2)}}} = \int_{}^{} {\left( {\frac{1}{{x + 1}} - \frac{1}{{x + 2}}} \right)} \,dx$
$ = \log (x + 1) - \log (x + 2) + c = \log \frac{{x + 1}}{{x + 2}} + 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

More "M.C.Q (1 Marks)" from STD 12 - 7.1 inderfinite integral→STD 12 - 7.1 inderfinite integral — all question types→Mathematics STD 12 Science question papers→CBSE Board STD 12 Science question papers→CBSE Board question paper generator→

Similar questions

If $\text{A} = \begin{bmatrix}1&\text{amp; } \log_{\text{b}}\text{a}\\ \log_\text{a}\text{b}&\text{amp; } 1\end{bmatrix}$then $ |\text{A}|$ is equal to:
→
Three persons, A, B and C fine a target in turn starting with A. Their probability of hitting the target are 0.4, 0.2 and 0.2, respectively. The probability of two hits is
→
If the system of equations $x+y+z=6 \,; \,2 x+5 y+\alpha z=\beta  \,; \, x+2 y+3 z=14$ has infinitely many solutions, then $\alpha+\beta$ is equal to.
→
The matrix $\left[ {\begin{array}{*{20}{c}}2&\lambda &{ - 4}\\{ - 1}&3&4\\1&{ - 2}&{ - 3}\end{array}} \right]$is non singular, if
→
The area under the curve $y=x^4$ and the lines $x=1, x=5$ and $x-$axis is:
→
${d \over {dx}}\left( {{{\tan }^{ - 1}}{{\sqrt {1 + {x^2}} - 1} \over x}} \right)$ is equal to
→
Let $f:\left[0, \frac{\pi}{2}\right] \rightarrow[0,1]$ be the function defined by $f(x)=\sin ^2 x$ and let $g:\left[0, \frac{\pi}{2}\right] \rightarrow[0, \infty]$ be the function defined by $g(x)=\sqrt{\frac{\pi x}{2}-x^2}$.

(There are two questions based on $PARAGRAPH "II"$, the question given below is one of them)

($1$) The value of $2 \int^{\frac{\pi}{2}} f(x) g(x) d x-\int^{\frac{\pi}{2}} g(x) d x$ us

($2$) The value of $\frac{16}{\pi^3} \int_0^{\frac{\pi}{2}} f(x) g(x) d x$ is

Give the answer or quetion ($1$) and ($2$) 

→
If $A$ and $B$ are independent events, then $P(\bar{A} / \bar{B})= ?$
→
If $A=\left[a_{i j}\right]$ is a scalar matrix of order $n \times n$ such that $a_{i j}=k$ for all $i$, then trace of $A$ is equal to
→
If $\theta = {\sin ^{ - 1}}x + {\cos ^{ - 1}}x - {\tan ^{ - 1}}x,x \ge 0$, then the smallest interval in which $\theta $ lies is given by
→