Question 1 Find the following integral. Input the constant of integration as C. I=∫x(2x2−3)7dx I=interpreted asExpected answer:interpreted as(2x2−3)832+C Input numbers in your answer as integers or fractions and not as decimals. Save answer Score: 0/3 Feedback for . Hide feedback.The feedback has changed.This feedback is based on your last submitted answer. Save your changed answer to get updated feedback. Or, you could: ⤺ Go back to the previous part There's nothing more to do from here. Advice This exercise is best solved by using substitution. Note that if we let u=2x2−3 then du=4x×dxHence we can replace xdx by 14du. Hence the integral becomes: I=∫14u7du=14u88+C=(2x2−3)832+C A Useful ResultThis example can be generalised. Suppose I=∫f′(x)g(f(x))dxThe using the substitution u=f(x) we find that du=f′(x)dx and so using the same method as above:I=∫g(u)duAnd if we can find this simpler integral in terms of u we can replace u by f(x) and get the result in terms of x. Score: 0/3 Total 0/3 Move to the next questionTry another question like this oneReveal answers