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_{}^{} {{{\sin }^{ - 1}}} (\cos x)dx = $
  • A
    $\frac{{\pi x}}{2}$
  • B
    $\frac{{\pi {x^2}}}{2}$
  • ✓
    $\frac{{\pi x - {x^2}}}{2}$
  • D
    $\frac{{\pi x + {x^2}}}{2}$
✓

Answer

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

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

Choose the correct answer from the given four options$.A$ and $B$ are two students. Their chances of solving a problem correctly are $\frac{1}{3}$ and $\frac{1}{4},$ respectively. If the probability of their making a common error is$, \frac{1}{20}$ and they obtain the same answer, then the probability of their answer to be correct is:
→
In a single throw of two dice what is the probability of obtaining a sum of number greater than $7$, if $4$ appears on the first dice
→
From a set of 100 cards numbered 1 to 100, one card is drawn at randow. The probability number obtained on the card is divisible by 6 or 8 but not by 24 is
→
He area bounded by $y=x^2, x=y^2$ is:
→
Choose the correct answer from the given four options. If $\text{A}=\frac{1}{\pi}\begin{bmatrix}\sin^{-1}(\text{x}\pi)&\tan^{-1}\Big(\frac{\text{x}}{\pi}\Big)\\\sin^{-1}\Big(\frac{\text{x}}{\pi}\Big)&\cot^{-1}(\pi\text{x})\end{bmatrix}$ and $\text{B}=\frac{1}{\pi}\begin{bmatrix}-\cos^{-1}(\text{x}\pi)&\tan^{-1}\Big(\frac{\text{x}}{\pi}\Big)\\\sin^{-1}\Big(\frac{\text{x}}{\pi}\Big)&\tan^{-1}(\pi\text{x})\end{bmatrix}$ then $A - B$ is :
→
The mapping $f : N \rightarrow N$ is given by $f(n) = 1 + n^2, n \in N$ when $N$ is the set of natural numbers is:
→
$\text{f}(\text{x})=\sin +\sqrt{3}\cos\text{x}$ is maximum when x =
→
The equation of a curve passing through $\left( {2,\frac{7}{2}} \right)$ and having gradient $1 - \frac{1}{{{x^2}}}$at$(x,\,y)$is
→
If $\tan^{-1}3+\tan^{-1}\text{x}=\tan^{-1}8,$ then x =
→
If $\int\frac{\text{dx}}{(\text{x}+2)(\text{x}^2+1)}$ $=\text{a}\log|1+\text{x}^2|+\text{b}\tan^{-1}\text{x}+\frac{1}{5}\log|\text{x}+2|+\text{c},$ then:
→