$ 1/(1-x^2)^1.5 dx
x=sint, dx=d(sint)=cost•dt

$ 1/(1-sin^2(t))^1.5•costdt=
$ cost/cos^3(t) dt=
$ 1/cos^2(t) dt=tgt

t=arctgsinx
=> tgarcsinx+C=x/sqrt(1-x^2)+C

Rahmat

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f(x)=ax^2+bx+c
A(-2;5)
f(-2)=4a-2b+c=5
B(3;10)
f(3)=9a+3b+c=10 {(-) => a-b=1
C(-1;-2)
f(-1)=a-b+c=1+c=-2; c=-3

4a-2(a-1)-3=5
a=3, b=2

=> f(x)=3x^2+2x-3
f’(x)=6x+2

f’(3)-2f(2)=
6•3+2-2(12+4-3)=20-24-8+6=-6

15625•(1+00.4)^2.5=
15625•(104/100)^2.5=
15625•(26/25)^2.5=
15625/5^5•26^2•sqrt(26)=
5•26^2•sqrt(26)=3380•sqrt(26)
~ 17235

17235-15625=1610