Integration of the Reciprocal Function (HSC SSCE Mathematics Advanced): Quizzes

📚Quizzes
Integration of the Reciprocal Function
Sign up to keep practising.Create a free account to play more quizzes and track your progress.

Practise the questions

10 questions from this quiz

Show

Why does the power rule fail when integrating x−1x^{-1}?

Gives division by zero

What is int rac{1}{x} , dx for x>0x > 0?

lnx+Cln x + C

Why must we use ln∣x∣ln|x| rather than lnxln x in the general integral form?

Works for negative xx too

What is the value of int_1^e rac{1}{x} , dx?

11

What is int rac{1}{ax+b} , dx?

rac{1}{a}ln|ax+b| + C

Which integral matches the form int rac{f'(x)}{f(x)} , dx?

int rac{2x}{x^2+1} , dx

Why is int_1^5 rac{1}{x-2} , dx meaningless?

Crosses asymptote at x=2x=2

For int rac{3x}{x^2+5} , dx, why don't we need ∣∣| | in the answer?

x2+5x^2+5 is always positive

What is intlnx,dxint ln x , dx?

xlnx−x+Cxln x - x + C

If f'(x)= rac{2}{3-x} and f(0)=0f(0)=0, what is the constant CC after integrating?

2ln32ln 3

Join 100,000+ SSCE students studying Quizzes with us.

Select your subjects, and get access to A+ resources today.