Question

Answer the above THE BEST WILL GET BRAINLIEST
Note: if you randomly wrote anything you will be reported
PS: You will not get the answer in google so don't waste your time!!​

Answer 1

Answer:

$\displaystyle \longrightarrow \frac{\cos (7x-5)}{7} +C$

First option is correct!

Step-by-step explanation:

Let :

$\displaystyle \text{I}=\int\limits {\sin(5-7x)} \, dx$

Let :

= > 5 - 7 x = t

Diff. w.r.t. x :

= > 0 - 7 = d t / d x

= > d x = - 7 / x

Putting value of d x in I we get :

$\displaystyle \text{I}=\int\limits {\sin(t)} \, dx$

$\displaystyle \text{I}=\frac{1}{7} \int\limits{\sin(t)} \, dt$

$\displaystyle \text{I}=-\frac{\cos t}{7} +C$

$\displaystyle \longrightarrow \text{I}=-\frac{\cos (5-7x)}{7} +C$

$\displaystyle \longrightarrow \text{I}=\frac{\cos (7x-5)}{7} +C$

Hence we get required answer!

Answer 2

Answer:

$\displaystyle \longrightarrow \frac{\cos (7x-5)}{7} +C$

First option is correct!

Step-by-step explanation:

Let :

$\displaystyle \text{I}=\int\limits {\sin(5-7x)} \, dx$

Let :

= > 5 - 7 x = t

Diff. w.r.t. x :

= > 0 - 7 = d t / d x

= > d x = - 7 / x

Putting value of d x in I we get :

$\displaystyle \text{I}=\int\limits {\sin(t)} \, dx$

$\displaystyle \text{I}=\frac{1}{7} \int\limits{\sin(t)} \, dt$

$\displaystyle \text{I}=-\frac{\cos t}{7} +C$

$\displaystyle \longrightarrow \text{I}=-\frac{\cos (5-7x)}{7} +C$

$\displaystyle \longrightarrow \text{I}=\frac{\cos (7x-5)}{7} +C$

Hence we get required answer!