Question

pls find this maths question chapter
integration

Answer 1

Answer:

this is your answer I hope you are helpful

Answer 2

Answer:

The integration of  ∫ $\frac{dx}{\sqrt{9-25x^{2} } }$ is $\frac{1}{5}$ sin⁻¹(5x/3).

Step-by-step explanation:

let I=∫ $\frac{dx}{\sqrt{9-25x^{2} } }$

take 25 common

⇒I= ∫ $\frac{dx}{\sqrt{25(\frac{9}{25} -x^{2}) } }$

⇒I= ∫ $\frac{dx}{5\sqrt{(\frac{3}{5} )^{2}-x^{2} } }$

wkt, ∫ $\frac{dx}{\sqrt{a^{2}-x^{2} } }$=sin⁻¹(x/a)

⇒I= $\frac{1}{5}$ sin⁻¹($\frac{x}{\frac{3}{5} }$)

⇒I = $\frac{1}{5}$ sin⁻¹(5x/3)