Solveeit Logo
Login

Question

Question: If \(\int_{}^{}\sqrt{2}\sqrt{1 + \sin x}\) dx = – 4 cos (ax + b) + C ,then (a, b) =...

If ∫21+sin⁡x\int_{}^{}\sqrt{2}\sqrt{1 + \sin x} dx = – 4 cos (ax + b) + C ,then (a, b) =

A

12,π4\frac{1}{2},\frac{\pi}{4}

B

1, π2\frac{\pi}{2}

C

1, 1

D

None of these

Answer

12,π4\frac{1}{2},\frac{\pi}{4}

Explanation

Solution

dx = dx

= 2 dx = 2 ∫−cos⁡(x2+π4)12\frac { \int - \cos \left( \frac { x } { 2 } + \frac { \pi } { 4 } \right) } { \frac { 1 } { 2 } } + C

= −4(cos⁡(x2+π4))+C- 4 \left( \cos \left( \frac { x } { 2 } + \frac { \pi } { 4 } \right) \right) + C