Question

integration x^4sin (x^5+6)dx is equal.to​

Answer 1

Answer:

-cos(x^5+6)/5

Step-by-step explanation:

let x^5+6 =t

Answer 2

Integration of $x^4\sin(x^5+6)$ is equal to $\boxed{-\frac{1}{5}\cos(x^5+6)+C}$

Step-by-step explanation:

Given:

$x^4\sin(x^5+6)$

To find out:

Integration of $x^4\sin(x^5+6)$

Solution

$\int x^4\sin(x^5+6)dx=?$

Let $x^5+6=t$

$\frac{dt}{dx}=5x^4$

$\implies dt=5x^4dx$

Now

$\int x^4\sin(x^5+6)dx$

$=\int \frac{1}{5}\sin tdt$

$=\frac{1}{5}\int \sin tdt$

$=\frac{1}{5}(-\cos t)+C$ where C is an arbitrary constant

$=-\frac{1}{5}\cos(x^5+6)+C$

Hope this answer is helpful.

Know More:

Q: Integration of sin x [log cos x] dx

Click Here: https://brainly.in/question/13211361

Q: Evaluate the integral, x = / ( 1 - sin wt) dt

,where / = integration of and  w = constant

Click Here: https://brainly.in/question/9849862