Making an Integral Improper For each integral, find a nonnegative real number that makes

Chapter 8, Problem 90

(choose chapter or problem)

Making an Integral Improper For each integral, find a nonnegative real number b that makes the integral improper. Explain your reasoning.

(a) \(\int_{0}^{b} \frac{1}{x^{2}-9} d x\)

(b) \(\int_{0}^{b} \frac{1}{\sqrt{4-x}} d x\)

(c) \(\int_{0}^{b} \frac{x}{x^{2}-7 x+12} d x\)

(d) \(\int_{b}^{10} \ln x d x\)

(e) \(\int_{0}^{b} \tan 2 x \ d x\)

(f) \(\int_{0}^{b} \frac{\cos x}{1-\sin x} d x\)

Text Transcription:

Int_0^b 1/x^2-9 dx

Int_0^b 1/sqrt 4 - x dx

Int_0^b x/x^2-7x+12 dx

Int_b^10 ln x dx

Int_0^b tan 2x dx

Int_0^b cos  x/1 - sin x dx