Solve the integral: int(x^3+4x^2+sinx)dx.
First, since there are terms with different factors of x summing together, we can separate these into three individual integrals as follows:int(x3 dx) + 4int(x2dx) + int(sinx dx)Then using the rules of integration given in the integral tables we solve for every term as:1/3 x2 + 4/2 x - cos x + constant
Related Maths A Level answers
All answers ▸Exponential Growth Equations
Integrate sin^4(x)
A tank is filled with water up to the height H0. At the bottom of the tank, there is a tap which is opened at t=0. How does the height of liquid change with time?(Hint: dH/dt is proportional to -H)
Find the integral of: sin^4(x)*cos(x)dx