1 / | | / x 2 \ | \e - 3*x + sin(x)/ dx | / 0
Integral(E^x - 3*x^2 + sin(x), (x, 0, 1))
Integrate term-by-term:
The integral of a constant times a function is the constant times the integral of the function:
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:
So, the result is:
The integral of the exponential function is itself.
The integral of sine is negative cosine:
The result is:
Now simplify:
Add the constant of integration:
The answer is:
/ | | / x 2 \ x 3 | \e - 3*x + sin(x)/ dx = C + e - x - cos(x) | /
-1 + e - cos(1)
=
-1 + e - cos(1)
Use the examples entering the upper and lower limits of integration.