You visited us 4 times! Enjoying our articles? Unlock Full Access!

Integration of Trigonometric Functions

∫cosec 2x+5dx...

Question

$\int cosec (2 x + 5) d x$ is equal to
(where $C$ is constant of integration)

\frac{ln | cosec (2 x + 5) + cot (2 x + 5) |}{5} + C

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{ln | cosec (2 x + 5) + cot (2 x + 5) |}{2} + C

No worries! We‘ve got your back. Try BYJU‘S free classes today!

- \frac{ln | cosec (2 x + 5) + cot (2 x + 5) |}{2} + C

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

- \frac{ln | cosec (2 x + 5) + cot (2 x + 5) |}{5} + C

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $- \frac{ln | cosec (2 x + 5) + cot (2 x + 5) |}{2} + C$
$\int cosec (2 x + 5) d x = \frac{- ln | cosec (2 x + 5) + cot (2 x + 5) |}{2} + C$
$(∵ \int cosec (a x + b) d x = \frac{- ln | cosec (a x + b) + cot (a x + b) |}{a} + C, a \neq 0)$

Suggest Corrections

Similar questions

\int \sqrt{1 + cosec x} d x = f (x) + C

C

f (x)

\int \frac{2^{x} + 4^{x} - 2 x \cdot 7^{x}}{7^{x}} d x

C

\int \frac{2 x - \sqrt{{sin}^{- 1} x}}{\sqrt{1 - x^{2}}} d x

C

\int e^{{sin}^{2} x} sin x (cos x + {cos}^{3} x) d x

C

\int \frac{e^{x}}{4 + e^{2 x}} d x

C

Join BYJU'S Learning Program

Explore more

Join BYJU'S Learning Program