# Integration and Fundamental Theorem Calculus

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Question 1

Find

∫ x3+4

________________________________________x2 dx

Question 2

Apply the Fundamental Theorem of Calculus to find the derivative of:

h(x)= x∫2^/¯u-1dx

Question 3

Evaluate:

∫2cos2 xdx

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##### Solution Summary

The expert examines integration and fundamental theorem calculus.

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Question 1

Find

∫ x3+4

________________________________________x2 dx

(x^3 + 4)dx /x^2 = (x^3 /x^2) dx + 4/(x^2) dx = x dx + 4 (1/x^2)dx

= x^2 /2 - ...

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