Question

integration of root(1 + 4x)​

Answer 1

Answer:

hope it helps you see the attachment for further information....

Answer 2

Answer:

Step-by-step explanation:

√(1 + 4x)​

=> Take 4x+1 = u

=>$\int\ \sqrt{u}/4 \, du$

=>$1/4\int\ \sqrt{u} \, du$

=>$\frac{1}{4}\cdot \frac{u^{\frac{1}{2}+1}}{\frac{1}{2}+1}$

=>$\frac{1}{4}\cdot \frac{\left(4x+1\right)^{\frac{1}{2}+1}}{\frac{1}{2}+1}$

=>$\frac{1}{6}\left(4x+1\right)^{\frac{3}{2}}+C$