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_{}^{} {{x^2}\sin 2x} \;dx = $
  • A
    $\frac{1}{2}{x^2}\cos 2x + \frac{1}{2}x\sin 2x + \frac{1}{4}\cos 2x + c$
  • ✓
    $ - \frac{1}{2}{x^2}\cos 2x + \frac{1}{2}x\sin 2x + \frac{1}{4}\cos 2x + c$
  • C
    $\frac{1}{2}{x^2}\cos 2x - \frac{1}{2}x\sin 2x + \frac{1}{4}\cos 2x + c$
  • D
    None of these
✓

Answer

Correct option: B.
$ - \frac{1}{2}{x^2}\cos 2x + \frac{1}{2}x\sin 2x + \frac{1}{4}\cos 2x + c$
b
(b) Let $I = \int_{}^{} {{x^2}\sin 2x\,dx} = \frac{{ - {x^2}\cos 2x}}{2} + \int_{}^{} {\frac{{2x\cos 2x}}{2}\,dx} + c$
$ = - \frac{{{x^2}\cos 2x}}{2} + \frac{{x\sin 2x}}{2} + \frac{{\cos 2x}}{4} + 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

$\int(\frac{\cos2\theta-1}{\cos2\theta+1})\text{d}\theta=$
→
The objective function of LPP defined over the convex set attains its optimum value at.
→
The area (in $sq.\, units$) of the region bounded by the curves $x^{2}+2 y-1=0, y^{2}+4 x-4=0$ and $y^{2}-4 x-$ $4=0$, in the upper half plane is $....$
→
What is the solution of $\text{x}\leq4,\text{y}\geq0$ and $\text{x}\leq-4,\text{y}\geq0$?
→
Let $\times$ be the binary operation on $N$ given by $a \times b = \text{HCF} (a, b)$ where$, a, b \in N.$ Find the value of $22 \times 4.$
→
$\int {\sqrt {{e^x} - 1} } dx = $
→
A bag contains 5 red and 3 blue balls. If 3 balls are drawn at random without replacement the probability of getting exactly one red ball is
→
If $\alpha+\beta+\gamma=2 \pi$, then the system of equations

$x+(\cos \gamma) y+(\cos \beta) z=0$

$(\cos \gamma) x+y+(\cos \alpha) z=0$

$(\cos \beta) x+(\cos \alpha) y+z=0$

has :

→
If $\vec{\text{a}}.\hat{\text{i}}=\vec{\text{a}}.\big(\hat{\text{i}}+\hat{\text{j}}\big)=\vec{\text{a}}.\big(\hat{\text{i}}+\hat{\text{j}}+\hat{\text{k}}\big)=1.$then $\vec{\text{a}}=$
→
If $S$ is the set of distinct values of $'b'$ for which the following system of linear equations $x + y + z = 1;x + ay + z = 1;ax + by + z = 0$ has no solution , then $S$ is :
→