Calculus Examples
∫6x2dx∫6x2dx
Step 1
Since 66 is constant with respect to xx, move 66 out of the integral.
6∫x2dx6∫x2dx
Step 2
By the Power Rule, the integral of x2x2 with respect to xx is 13x313x3.
6(13x3+C)6(13x3+C)
Step 3
Step 3.1
Rewrite 6(13x3+C)6(13x3+C) as 6(13)x3+C6(13)x3+C.
6(13)x3+C6(13)x3+C
Step 3.2
Simplify.
Step 3.2.1
Combine 66 and 1313.
63x3+C63x3+C
Step 3.2.2
Cancel the common factor of 66 and 33.
Step 3.2.2.1
Factor 33 out of 66.
3⋅23x3+C3⋅23x3+C
Step 3.2.2.2
Cancel the common factors.
Step 3.2.2.2.1
Factor 33 out of 33.
3⋅23(1)x3+C3⋅23(1)x3+C
Step 3.2.2.2.2
Cancel the common factor.
3⋅23⋅1x3+C
Step 3.2.2.2.3
Rewrite the expression.
21x3+C
Step 3.2.2.2.4
Divide 2 by 1.
2x3+C
2x3+C
2x3+C
2x3+C
2x3+C
