Download App

Integrals — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsIntegrals1 Mark
MCQ
Evaluate$:\ \int\sqrt{1+\text{y}}^2.\text{2ydy:}$
  • ✓
    $\text{I}=\frac{2}{3}(1+\text{y}^2)^\frac{3}{2}+\text{c}$
  • B
    $\text{I}=\frac{2}{5}(1-\text{y}^2)\frac{3}{2}+\text{c}$
  • C
    $\text{I}=\frac{2}{3}(1-\text{y}^2)^\frac{3}{2}+\text{c}$
  • D
    None of these
✓

Answer

Correct option: A.
$\text{I}=\frac{2}{3}(1+\text{y}^2)^\frac{3}{2}+\text{c}$

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 Integrals→Integrals — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

${d \over {dx}}\{ \log (\sec x + \tan x)\} = $
→
Let $3\sin(\text{xy})+4\cos(\text{xy})=5,$ then $\frac{\text{dy}}{\text{dx}}=$
→
The value of $\big[\vec{\text{a}}-\vec{\text{b}},\vec{\text{b}}-\vec{\text{c}},\vec{\text{c}}-\vec{\text{a}}\big],$ where $\big|\vec{\text{a}}\big|=1,\big|\vec{\text{b}}\big|=5,\big|\vec{\text{c}}\big|=3,$ is:
→
The system of linear equations:
x + y + z = 2
2x + y − z = 3
3x + 2y + kz = 4
has a unique solution if
→
The general solution of the differential equation $ydx\, + (1 + {x^2}){\tan ^{ - 1}}xdy = 0,$ is
→
The curve $y-x:$
→
${d \over {dx}}\log (\log x) =$
→
The area common to the parabola $y = 2x^2$ and $y = x^2+ 4$ is:
→
If $x = {e^{y + {e^{y + ....t{\rm{o}}\,\,\infty }}}}$, $x > 0,$ then ${{dy} \over {dx}}$ is
→
The value of $\sin^{-1}\Big(\cos\frac{33\pi}{5}\Big)$ is:
→