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1
MHT CET 2026 20th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If $\int f(x)dx = g(x) + c$ then $\int f^{-1}(x)dx =$
A
$xf^{-1}(x) + c$
B
$f(g^{-1}(x)) + c$
C
$xf^{-1}(x) - g(f^{-1}(x)) + c$
D
$g^{-1}(x) + c$
2
MHT CET 2026 20th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
$\int\dfrac{\log x}{(1 + \log x)^2}dx =$
A
$\dfrac{1}{1 + \log x} + c$
B
$-\dfrac{1}{1 + \log x} + c$
C
$\dfrac{x}{1 + \log x} + c$
D
$-\dfrac{x}{1 + \log x} + c$
3
MHT CET 2026 20th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
$\int\dfrac{1}{\sqrt{2x - x^2}}dx =$
A
$\sin^{-1}(x - 1) + c$
B
$\cos^{-1}(x - 1) + c$
C
$\tan^{-1}(x - 1) + c$
D
$\sin^{-1}x + c$
4
MHT CET 2026 20th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
$\int(x^{21} + x^6 + x^3)(2x^{18} + 7x^3 + 14)^{\frac{1}{3}}\ dx =$
A
$\dfrac{1}{56}(2x^{18} + 7x^3 + 14)^{\frac{4}{3}} + c$
B
$(2x^{18} + 7x^3 + 14)^{\frac{4}{3}} + c$
C
$(2x^{21} + 7x^6 + 14x^3)^{\frac{4}{3}} + c$
D
$\dfrac{1}{56}(2x^{21} + 7x^6 + 14x^3)^{\frac{4}{3}} + c$
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