$\smallint {\cos ^{ - 3/7}}x\,\,{\sin ^{ - 11/7}}x\,dx$ is equal to

$\log \,\,\left| {\,{{\sin }^{4/7}}x\,} \right| + c$

$\frac{4}{7}\,\,{\tan ^{4/7}}x + c$

$\log \,\,\left| {\,{{\cos }^{3/7}}\,x\,} \right| + c$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int {\cos ^{ - 3/7}}x\,\,{\sin ^{ - 11/7}}x\,dx

is equal to

View answer and explanation

Correct option: C

- \,\,\frac{7}{4}\,\,{\tan ^{ - 4/7}}x + c

Option C (

- \,\frac{7}{4}\,{{\tan }^{ - 4/7}}x + c

) is correct because it is the result of integrating the given expression after simplification and substitution.