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1
COMEDK 2021
MCQ (Single Correct Answer)
+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
2
COMEDK 2020
MCQ (Single Correct Answer)
+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
$${{ - 49} \over {2(x - 4)}} + {{13} \over {2(x - 2)}}$$
3
COMEDK 2020
MCQ (Single Correct Answer)
+1
-0

The value of $$\int {{1 \over {1 + \cos 8x}}dx} $$ is

A
$${{\tan 8x} \over 8} + C$$
B
$${{\tan 2x} \over 8} + C$$
C
$${{\tan 4x} \over 8} + C$$
D
$${{\tan 4x} \over 4} + C$$
4
COMEDK 2020
MCQ (Single Correct Answer)
+1
-0

The value of $$\int {{e^x}({x^5} + 5{x^4} + 1)\,.\,dx} $$ is

A
$${e^x}\,.\,{x^5} + {e^x} + C$$
B
$${e^x}\,.\,{x^5}$$
C
$$5{x^4}\,.\,{e^x}$$
D
$${e^{x + 1}}\,.\,{x^5} + C$$
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