Fill in the blanks: 6. 7. The first method used to evaluate definite integral by substitution is to calculate the indefinite integral, articulating an antiderivative in terms of the original variable, and then assess the consequence at the .............limits... The second method used to evaluate definite integral by substitution is to. the original limits to new limits in provisions of the new variable and do not translate the antiderivative back to the original variable. 8. Sometimes a will stay similar after the substitution. 9. 10. There is a point in the procedure where if we aren't paying awareness we'll obtain the solution. The second solution method isn't actually all that dissimilar from the method. 11. Getting back to t's before performing the substitution is the standard step in the .......procedure, but it is frequently forgotten when performing definite integrals. If we don't move back to 's we will have a little problem in that one of the evaluations will finish up providing us a 12. 13. Be cautious with definite integrals and be on the lookout for. State whether the following statements are true or false: problems. 14. In first method, when performing a substitution we want to remove all the I's in the integral and write all in terms of u. 15. We are required to be alert with the first method as there is a point in the process where if we aren't paying awareness we'll obtain the wrong solution.