The integration power rule
Integrate a power by increasing the exponent and dividing.
for . - Increase the power by one, then divide by the new power. A constant multiplier stays in front.
. The reciprocal needs a logarithm.
Example 1
Integrate with respect to
Example 2
Integrate with respect to
Your turn
Question 1
Integrate with respect to
Check answer
Question 2
Integrate with respect to
Check answer
Question 3
Integrate with respect to
Check answer
Question 4
Integrate with respect to
Check answer
Question 5
Integrate with respect to
Check answer
Integrate with respect to
Integrate with respect to
Integrate with respect to
Integrate with respect to
Integrate with respect to