1
COMEDK 2022
+1
-0

$$\int \frac{3^x}{\sqrt{1-9^x}} d x$$ is equal to

A
$$(\log 3) \sin ^{-1} 3^x+C$$
B
$$\frac{1}{3} \sin ^{-1}\left(3^x\right)+C$$
C
$$\frac{1}{\log 3} \sin ^{-1} 3^x+C$$
D
$$3 \log 3 \sin ^{-1} 3^x+C$$
2
COMEDK 2021
+1
-0

$$\int {{{{2^x}} \over {\sqrt {1 - {4^x}} }}dx}$$ is equal to

A
$$(\log 2){\sin ^{ - 1}}{2^x} + C$$
B
$${1 \over 2}{\sin ^{ - 1}}{2^x} + C$$
C
$${1 \over {\log 2}}{\sin ^{ - 1}}{2^x} + C$$
D
$$2\log 2{\sin ^{ - 1}}{2^x} + C$$
3
COMEDK 2021
+1
-0

Integral of $$\int {{{dx} \over {{x^2}{{[1 + {x^4}]}^{3/4}}}}}$$.

A
$$- 4{({x^{1/4}} + 1)^{1/4}} + C$$
B
$$4{({x^{1/4}} + 1)^{1/4}} + C$$
C
$$4{({x^4} + 1)^{1/4}} + C$$
D
None of these
4
COMEDK 2020
+1
-0

$${{3{x^2} + 1} \over {{x^2} - 6x + 8}}$$ is equal to

A
$${{49} \over {2(x - 4)}} - {{13} \over {2(x - 2)}}$$
B
$$3 + {{49} \over {2(x - 4)}} - {{13} \over {2(x - 2)}}$$
C
$${{49} \over {2(x - 4)}} + {{13} \over {2(x - 2)}}$$
D
$${{ - 49} \over {2(x - 4)}} + {{13} \over {2(x - 2)}}$$
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