∫$$1+x43xdx$$ is equal to

Correct option is 21271+x473−31+x443+C

Questions

$\int \frac{\sqrt[3]{1 + \sqrt[4]{x}}}{\sqrt{x}} d x is equal to$

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31+x443−1271+x473+C

1271+x473−31+x443+C

1271+x473+31+x443+C

1271+x473+131+x443+C

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detailed solution

Correct option is B

∫1+x43xdx Let x=t4dx=4t3dt=∫1+t3t24t3dt=4∫1+t3tdt Put 1+t=k3dt=3k2dk=3k2dk=4∫kk3−13k2dk=12∫k3k3−1dk=12∫k6−k3dk=12k77−k44+C=127k7−124k4+C=127(1+t)73−3(1+t)43+C=1271+x473−31+x443+C

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∫1+x43xdx is equal to

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$\int \frac{\sqrt[3]{1 + \sqrt[4]{x}}}{\sqrt{x}} d x is equal to$