Integrate the following functions. ∫1√9−25x2dx
∫1√9−25x2dx=∫1√25[(32)2−x2]dx=15∫1√[(35)2−x2]dx=15sin−1(x35)+C[∵∫dx√a2−x2=sin−1(xa)]
=15sin−1(5x3)+C
Integrate the following functions. ∫x9−4x2dx.
Integrate the following functions. ∫19x2+6x+5dx.