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 ▸Integrate 5(x + 2)/(x + 1)(x + 6) with respect to x
Given that f(x) = 1/x - sqrt(x) + 3. Find f'(1).
Integrate cos(2x)
A particle P moves with acceleration (-3i + 12j) m/s^2. Initially the velocity of P is 4i m/s. (a) Find the velocity of P at time t seconds. (b) Find the speed of P when t = 0.5