f(x)=∫dxsin4⁡x is a

$f (x) = \int \frac{d x}{\sin^{4} x}$ is a

A
Polynomial of degree 3 in $c o t x$
B
Polynomial of degree 4 in $c o t x$
C
Polynomial of degree 4 in $\sin x$
D
Polynomial of degree 3 in $\tan x$

Solution:

$\begin{array}{l} f (x) = \int (1 + \cot^{2} x) {cosec}^{2} x d x \\ = - (\cot x + \frac{1}{3} \cot^{3} x) + C \end{array}$

which is polynomial of degree 3 .

Related content

CWSN Full Form – Children With Special Needs

CAA Full Form – Citizenship Amendment Act

TET Full Form – Teacher Eligibility Test

NCERT Books for Class 10- Download Free PDF (2023-2024)

NCERT Books for Class 11- Download Free PDF (2023-2024)

USA Full Form – United States of America

NRC Full Form – National Register of Citizens

Distance Speed Time Formula

Refractive Index Formula