Mention the formula for integral of cosh-n x- - Maths Q-A

Mention the formula for ∫cos^nxdx.∫cos^nxdx=1/ncos^n 1xsinx+n 1/n∫cos^n 2xdxHence the formula for integral of cos^nx is1/ncos^n 1xsinx+n 1/n∫cos^n 2xdx. ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

First Fundamental Theorem of Calculus

Mention the f...

Question

Mention the formula for integral of $\cos^{n} x$ ?

Open in App

Solution

Mention the formula for $\int \cos^{n} x d x$ .
$\int \cos^{n} x d x = \frac{1}{n} \cos^{n - 1} x \sin x + \frac{n - 1}{n} \int \cos^{n - 2} x d x$
Hence the formula for integral of $\cos^{n} x is \frac{1}{n} \cos^{n - 1} x \sin x + \frac{n - 1}{n} \int \cos^{n - 2} x d x$ .

Suggest Corrections

Similar questions

Q. Write the formula for integration by parts.

Q. How to derive the formula for the volume of the frustum of a cone by integration?

Q. Is there any formula like integral

\int e^{x} (f (x) f^{'} (x)) d x = e^{x} f (x) + C .

Q. The integral value of

x,

for

∣ ∣ ∣ ∣ \begin{matrix} x^{2} & x & 1 0 & 2 & 1 3 & 1 & 4 \end{matrix} ∣ ∣ ∣ ∣ = 28

Q. Assertion :Statement-1:

f (x) = \frac{1}{{x}}

is discontinuous for integral values of

x

, where {} denotes the fractional part function. Reason: Statement-2: For integral values of

x

f (x)

is not defined.

Join BYJU'S Learning Program

Mention the formula for integral of cosnx?

Mention the formula for ∫cosnxdx.∫cosnxdx=1ncosn-1xsinx+n-1n∫cosn-2xdxHence the formula for integral of cosnxis1ncosn-1xsinx+n-1n∫cosn-2xdx.

Mention the formula for integral of $\cos^{n} x$ ?

Mention the formula for $\int \cos^{n} x d x$ .
$\int \cos^{n} x d x = \frac{1}{n} \cos^{n - 1} x \sin x + \frac{n - 1}{n} \int \cos^{n - 2} x d x$
Hence the formula for integral of $\cos^{n} x is \frac{1}{n} \cos^{n - 1} x \sin x + \frac{n - 1}{n} \int \cos^{n - 2} x d x$ .