1 / | | / 3 3 ___\ | |5*x + 3*x - 2 - - + 4*\/ x | dx | \ x / | / 0
Integral(5*x^3 + 3*x - 2 - 3/x + 4*sqrt(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 is when :
So, the result is:
Integrate term-by-term:
Integrate term-by-term:
Integrate term-by-term:
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:
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:
The result is:
The integral of a constant is the constant times the variable of integration:
The result is:
The integral of a constant times a function is the constant times the integral of the function:
The integral of is .
So, the result is:
The result is:
The result is:
Add the constant of integration:
The answer is:
/ | 2 4 3/2 | / 3 3 ___\ 3*x 5*x 8*x | |5*x + 3*x - 2 - - + 4*\/ x | dx = C - 3*log(x) - 2*x + ---- + ---- + ------ | \ x / 2 4 3 | /
Use the examples entering the upper and lower limits of integration.