Definition
What is integration?
The process of computing an integral is called integration. （or you can give any formal of it.）
1+4+9+.......+400=12+22+......+202
yes
∫ 2-2 4-x2=?
10.666
∫ cosx=?
∫ cosx=sinx+c
∫ 62 3x2+2x+1 dx =?
244
∫ x² dx ＝ x ³ / 3 + C
what is the meaning of the C?
it is an arbitrary consant.(the constant of integration)
Lucky mark
Is Max handsome?
yse
Σ2i+1, i=1, n=10
120
∫ √x dx=？
2X3/2/3+c
∫20 2x-3 dx=?
-2
Direction field
Can nonethless construct a graphical representation of the solution useing what
∫ 4cosx/sin2x dx
the final answer is 4csc+c
no -4csc+c
∫ xCosx2dx
1/2(sinx2)+c
∫x dx=？
x2/2+c
∫1-1 x3+2x dx =?
0
what is Σ ?
as a symbol for sum
∫ 4x/x2+4=2ln|x2+2|+c
no the right answer is 2In|x2+4|+c
Σ (1-3i)(3i+1) i=1 n=10
-485
∫x5dx=？
x6/6+c
∫999888 4x3+2x+1 dx=?
3.742045656E11
what is power rule?
eg. ∫ rn dr=rn+1/n+1 +c
∫ ex/ex+3 dx=ln|ex+3|+c
yes
∫ =x2/x3+3 dx
1/3(ln|x3+3|)+c
∫ 1/√1-X2 dx=？
sin-1x+c or -cos-1x+c
∫nn/2 (2sinx-cosx) dx =?
3