A) \[\left( -\frac{1}{5},0 \right)\]
B) \[\left( -\frac{1}{5},1 \right)\]
C) \[\left( \frac{1}{5},0 \right)\]
D) \[\left( \frac{1}{5},-1 \right)\]
Correct Answer: C
Solution :
\[{{I}_{4}}+{{I}_{6}}=\int_{{}}^{{}}{({{\tan }^{4}}x+{{\tan }^{6}}x)}\,dx=\int_{{}}^{{}}{{{\tan }^{4}}x{{\sec }^{2}}x\,dx}\] \[=\frac{1}{5}{{\tan }^{5}}x+c\Rightarrow \,\,a=\frac{1}{5},b=0\]You need to login to perform this action.
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