1 / | | 6 | sin(x)*cos (x)*1 dx | / 0
Integral(sin(x)*cos(x)^6*1, (x, 0, 1))
Let .
Then let and substitute :
The integral of a constant times a function is the constant times the integral of the function:
The integral of is when :
So, the result is:
Now substitute back in:
Add the constant of integration:
The answer is:
/ | 7 | 6 cos (x) | sin(x)*cos (x)*1 dx = C - ------- | 7 /
7 1 cos (1) - - ------- 7 7
=
7 1 cos (1) - - ------- 7 7
Use the examples entering the upper and lower limits of integration.