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scott, Here are some...

scott, Here are some misc. indefinite integrals to practice the methods we have been discussing. Of course, post steps for your solution! Perhaps each person only do one problem – and then check your answer by differentiation!

Problem 1:

Evaluate integral [(-10csc(x)*cot(x)]dx, that is,

the indefinite integral of [(-10csc(x)*cot(x)]dx

Problem 2:

Integral (x^5 – 3x^2 + 2)/x dx

Hint: this is NOT the same as taking the integral of the numerator over taking the integral of the denominator. Whenever you have a monomial in the denominator and you can rewrite the expression as a sum/difference of terms, do so.

Problem 3:

Integral [(6x)/(3x^2 – 5)^6]dx

Hint: you will not be able to simplify this problem, so you will need to use substitution. Tell us what your inside function u is and what du is and show/tell us the steps of how you got your answer.

Problem 4:

Integral [10e^(10x)]dx

Problem 5:

Integral [x^3*cos(x^4)]dx

Problem 1:

Evaluate integral [(-10csc(x)*cot(x)]dx, that is,

the indefinite integral of [(-10csc(x)*cot(x)]dx

Problem 2:

Integral (x^5 – 3x^2 + 2)/x dx

Hint: this is NOT the same as taking the integral of the numerator over taking the integral of the denominator. Whenever you have a monomial in the denominator and you can rewrite the expression as a sum/difference of terms, do so.

Problem 3:

Integral [(6x)/(3x^2 – 5)^6]dx

Hint: you will not be able to simplify this problem, so you will need to use substitution. Tell us what your inside function u is and what du is and show/tell us the steps of how you got your answer.

Problem 4:

Integral [10e^(10x)]dx

Problem 5:

Integral [x^3*cos(x^4)]dx

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