Question

Integrals.
Simple.
Please tell.
Ayyyy​

Answer 1

Answer:

logt + C

Step-by-step explanation:

To find ----> ∫ dt / t

Solution----> We know that,

∫ xⁿ dx = xⁿ⁺¹ / ( n + 1 ) + c

But this formula is not applied for n = -1

We know that ,

d / dx ( log x ) = 1 / x

= x⁻¹

So intregation of ( x⁻¹ ) is logx , So,

∫ 1 / x dx = log x + C , where C is constat of intregation.

Now , ∫ dt / t = log t + C

Additional information---->

1) ∫ xⁿ dx = xⁿ⁺¹ / ( n + 1 ) + C

2) ∫ eˣ dx = eˣ + C

3) ∫ aˣ dx = aˣ / loga + C

4) ∫ Sinx dx = - Cosx + C

5) ∫ Cosx dx = Sinx + C

6) ∫ Sec²x dx = tanx + C

7) ∫ Secx tanx dx = Secx + C

8) ∫ Cosecx Cotx dx = - Cosecx + C

9) ∫ Cosec²x dx = - Cotx + C