indefinite integrals.?

Question

i have no idea how to do them. could someone please help me with them and explain me how to do it?

a) integral x^15 dx

b) integral 2^x dx

c) integral (t^3 + 2t - 3)dt

d) integral (x - 1)(x + 2)dx

Answer 1

The indefinite integral of x^n dx is just (1 / (n + 1))*x^(n + 1) + C, where C is a generic constant. For example, the integral of x^3 dx is (1/4)*x^4 + C. Integrals can be linearally combined. So, for example, the integral of (5x^2 + 2x) dx would be 5*(1/3)*x^3 + 2*(1/2)*x^2 + C = (5/3)*x^3 + x^2 + C. That should enable you to solve a), b), and c) easily. For d), perform the multiplication before you integrate.

Answer 2

i suggest know the integral formuas.

visit this site below. I think it helps you a lot.many example here.