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1
MHT CET 2026 20th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
$\int \left(e^{\log(\sin x)} + \cos x\right) x\, dx = $
A
$x(\sin x + \cos x) + (\sin x - \cos x) + c$
B
$x(\sin x - \cos x) + (\sin x - \cos x) + c$
C
$x(\sin x + \cos x) + (\sin x + \cos x) + c$
D
$x(\sin x - \cos x) + (\sin x + \cos x) + c$
2
MHT CET 2026 20th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The value of $\int \sin 4x \cos 3x\, dx$ is
A
$-\dfrac{1}{14}\cos 7x - \dfrac{1}{2}\cos x + c$
B
$-\dfrac{1}{14}\cos 7x + \dfrac{1}{2}\cos x + c$
C
$\dfrac{1}{14}\cos 7x - \dfrac{1}{2}\cos x + c$
D
$\dfrac{1}{14}\cos 7x + \dfrac{1}{2}\cos x + c$
3
MHT CET 2026 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
Let $f(x) = 1 - \dfrac{1}{x}, g_2(x) = f(f(x)), g_3(x) = f(f(f(x)))$ and so on. If $\int x \cdot g_{2026}(x)\,dx = \int g_{2025}(x)\,dx + h(x) + c$, then $h(x) = $...
A
$x$
B
$-x$
C
$\log x$
D
$-\log x$
4
MHT CET 2026 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
The value of integral $\int x^3 \cos x\,dx$ is...
A
$x^3\sin x + x^2\cos x - 6x\sin x + 6\cos x + c$
B
$x^3\sin x + 3x^2\sin x - 6x\sin x - 6\cos x + c$
C
$x^3\sin x + 3x^2\cos x - 6x\sin x - 6\cos x + c$
D
$x^3\sin x + 3x^2\cos x - 6x\sin x + 6\cos x + c$
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Some Basic Concepts of Chemistry Atomic Structure States of Matter Thermodynamics Chemical Equilibrium Ionic Equilibrium Liquid Solution Redox Reactions Surface Chemistry Solid State Electrochemistry Chemical Kinetics Nuclear Chemistry
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