91Ó°ÊÓ

Find the antiderivatives. $$\int \sec ^{2} x \csc ^{2} x d x$$

These problems require the techniques of this chapter, and are in no particular order. Some problems may be done in more than one way. $$\int \frac{1}{t^{2} \sqrt{1+t^{2}}} d t$$

Find the antiderivatives or evaluate the definite integral in each problem. $$\int_{3}^{4} \frac{1}{(3 x-7)^{2}} d x$$

Find the antiderivatives or evaluate the definite integral in each problem. $$\int_{0}^{\pi / 6}\left(\cos ^{2} x-\sin ^{2} x\right) d x$$

These problems require the techniques of this chapter, and are in no particular order. Some problems may be done in more than one way. $$\int t^{3} \sqrt{t^{2}+1} d t$$

These problems require the techniques of this chapter, and are in no particular order. Some problems may be done in more than one way. $$\int e^{t} \sin t d t$$

Find the antiderivatives or evaluate the definite integral in each problem. $$\int \frac{6 x}{\left(x^{2}-7\right)^{1 / 9}} d x$$

Find the antiderivatives or evaluate the definite integral in each problem. $$\int_{-1}^{1}\left(2 x^{3}-1\right)\left(x^{4}-2 x\right)^{6} d x$$

These problems require the techniques of this chapter, and are in no particular order. Some problems may be done in more than one way. $$\int\left(t^{3 / 2}+47\right)^{3} \sqrt{t} d t$$

These problems require the techniques of this chapter, and are in no particular order. Some problems may be done in more than one way. $$\int \frac{t^{3}}{\left(2-t^{2}\right)^{5 / 2}} d t$$