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 ▸

Prove: (1-cos(2A))/sin(2A) = tan(A)


A curve has equation y = x^3 - 48x. The point A on the curve has x coordinate -4. The point B on the curve has x coordinate - 4 + h. Show that that the gradient of the line AB is h^2 - 12h.


A circle with centre C has equation x^2+8x+y^2-12y=12. The points P and Q lie on the circle. The origin is the midpoint of the chord PQ. Show that PQ has length nsqrt(3) , where n is an integer.


Find ∫ ( 2x^4 - 4x^(-0.5) + 3 ) dx