Im wasim!I have done my Bs mthematics and currently enrolled in Ms programme to carry on my further education.I also have a teaching job.
In Example 1 (a) we showed that $\int \sin ^{3} x \cos ^{4} x d x=$ $-\frac{1}{5} \cos ^{5} x+\frac{1}{7} \cos ^{7} x+C .$ Check that this answer is correct by differentiating and applying trigonometric identities.
Compile lists of (a) the derivatives and (b) the integrals of the six basic trigonometric functions: $\sin x, \cos x, \tan x$ $\sec x, \csc x,$ and $\cot x$
Given the algebraic trick for integrating sec $x$ used in the proof of Theorem $5.17,$ what do you think is the algebraic trick used for integrating $\csc x ?$
Describe strategies for solving the types of integrals given.$$\int \cos ^{k} x d x, k \text { odd }$$
Describe strategies for solving the types of integrals given.$$\int \cos ^{k} x d x, k \text { even }$$