Chapter 7.2, Problem 30E

tion 1-y dx If Show that 21 1+y

Calculus 2 Solve the attached integral problem

1.Evaluate ∫[tan^3(θ)/cos^4(θ)]dθ  2.Evaluate ∫cos(x)e^(sin(x)) dx 3.This result is a simplification of what integral function?

2. [x+]dx し -3

Evaluate the definite integral | (13e" + 42)dr using Part 1 of the Fundamental Theorem of Calculus. Enter the exact answer. Remember to include a "+ C" if appropriate. Include a multiplication sign between symbols. For example, a - T. a sin (a)

Evaluate each integral in Exercises 47-50 by reducing the improper fraction and using a substitution (if necessary) to reduce it to standard form. 47. 48. -dx 49. de 2x3 dx 50.472-737 de 2x + +1

Explain how the fundamental theorem of calculus relates integrals and derivatives. Edit ▾ Insert Formats B IUX₂ x² A ▾ A ==== E ✓ Σ+ Σ Α

the saying that best explains how to integrate a function ∫x^n dx, where x cannot equal -1, by the simple power rule is  a) add one to the exponent and divide the expression by the new exponent. b) divide the exponent by 2 c) multiply x by the two and then divide by 3.

How to identify if the problem is integration resulting to inverse trigo. or trigo. substitution. Give examples. (Integral)