Question

Integrate the following :

$\dfrac{1}{\sqrt{t}}\:cos ( \sqrt{t} + 3 ) dt$ ​

Answer 1

⭐《ANSWER》

$\huge\mathfrak{\underline {\underline\pink {ANSWER}}}$

↪Actually welcome to the concept of the INTEGRATION BY SUBSTITUTION METHOD

↪Here , we simply going to Substitute as

↪U = root t + 3

↪So we get as ,

↪dU/dt = 1/2 root t

↪so we get here as ,

↪2du = dt / root t

〽I = 2 sin ( root t + 3 )

Answer 2

Hope this helps you ❤️...