Integration and Differentiation Flashcards
1
Q
integrate cosx
A
sinx
2
Q
integrate sinx
A
-cosx
3
Q
integrate coshx
A
sinhx
4
Q
integrate sinhx
A
coshx
5
Q
integrate tanx
A
ln(secx)
6
Q
integrate tanhx
A
ln(coshx)
7
Q
integrate 1 / (x^2 + a^2)
A
1/a tan^-1(x/a)
8
Q
Integration by Parts
A
integral of u dv/dx dx = uv - intagral of v du/dx dx
9
Q
integrate 1 / sqrt(x^2 + a^2)
A
sinh^-1(x/a)
10
Q
integrate 1 / sqrt(x^2 - a^2)
A
cosh^-1(x/a)
11
Q
differentiate cosecx
A
-cosecxcotx
12
Q
differentiate secx
A
secxtanx
13
Q
Differentiate cotx
A
-cosec^2(x)
14
Q
differentiate sin^1x
A
1 / sqrt(1-x^2)
15
Q
differentiate cos^1x
A
-1 / sqrt(1-x^2)
