Calculus Examples

Find the Integral -2dx
-2dx
Step 1
Since -2x is constant with respect to d, move -2x out of the integral.
-2xddd
Step 2
By the Power Rule, the integral of d with respect to d is 12d2.
-2x(12d2+C)
Step 3
Simplify the answer.
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Step 3.1
Rewrite -2x(12d2+C) as -2x12d2+C.
-2x12d2+C
Step 3.2
Simplify.
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Step 3.2.1
Combine -2 and 12.
x-22d2+C
Step 3.2.2
Combine x and -22.
x-22d2+C
Step 3.2.3
Move -2 to the left of x.
-2x2d2+C
Step 3.2.4
Cancel the common factor of -2 and 2.
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Step 3.2.4.1
Factor 2 out of -2x.
2(-x)2d2+C
Step 3.2.4.2
Cancel the common factors.
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Step 3.2.4.2.1
Factor 2 out of 2.
2(-x)2(1)d2+C
Step 3.2.4.2.2
Cancel the common factor.
2(-x)21d2+C
Step 3.2.4.2.3
Rewrite the expression.
-x1d2+C
Step 3.2.4.2.4
Divide -x by 1.
-xd2+C
-xd2+C
-xd2+C
-xd2+C
-xd2+C
 [x2  12  π  xdx ]