WorksheetsBasic Integration
Total questions: 17
Worksheet time: 1hrs 8mins
∫5x4dx
x5
45x5+C
x5+C
20x3 + C
∫(x2−2x)dx
31x3−x2+C
x2 −2x+C
2x−2
31x3−x2
∫6x(x+2)dx
6x2+12x+C
x2 −2x+C
3x2+6x+C
2x3+6x2+C
∫(6x−1)dx
6x23+x+C
4x23−x+C
3x−21−x+C
I didn't look at my notes to see how to do this one.
∫(x21+x36)dx
−x−1−3x−2+C
−3x−3+−46x−4+C
−x−1−3x−2
−x−3x2+C
∫(5x2−7x+6)dx
35x−27x+6x+C
x+x+x+x+x+C
x3−3x2+6x+C
35x3−27x2+6x+C
∫e3xdx
e3x+C
3x+1e3x+1+C
4e4x+C
31e3x+C
∫4sin(−x)dx
4cos(x)+C
−4sin(−x)+C
4cos(−x)+C
−4cos(−x)+C
∫8cos(2x)dx
4cos(x)+C
4sin(2x)+C
16sin(2x)+C
−16sin(2x)+C
∫(5x3−16e−4x+x1)dx
2x25+4x−4x+ln∣x∣+C
5x31−4e−4x+1+C
25x23−16e−4x+ln∣x∣+C
Got lazy with fake answers
dydx=7x6−3x2+5, y(1)=1. Find y.
y=x7−x3+5x+C
67x7−23x3+5x−2
y=x7−x3+5x−4
None of the above
dydx=5sec2x−23x21, y(0)=7. Find y.
5tanx−x23+7
5tanx−x23+C
35sec3x−x23+7
None of the above
dx2d2y=4, y′(1)=0, y(0)=−1 Find y.
2x2−1
4x−4
2x2−4x−1
2x2+1
∫8x−3dx
−2x−4+C
4x−3+C
−38x−2
−4x−2+C
∫(x−1−1)dx
ln∣x∣−x+C
−2x−2−x+C
ln∣x∣−1+C
1−x+C
∫sec(πx)tan(πx)dx
π1sec(πx)+C
−sec(πx)+C
sec(πx)+C
π1tan(πx)+C
∫0dx
x1+C
Not Possible
x+C
C
