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split the integral into (x^4)/(x^2) and (3x)/(x^2) which becomes x^2 and 3*(1/x). These can now be integrated separately and added together after the integration.

first integral: raise the power fo...

4.28 rounds down to 4; sqrt(99) is approximately 10; 7.83 rounds up to 8

So an appropriate estimate would be:

(4x10)/8 = 40/8 = 5

-13 x + 7 > 2 -13 x > -5 x < 5/13

Remember multiply or divide a number by a negative number, you switch the inequality sign

This question can be solved in two ways. One way is to divide the whole equation, both sides by 3, which gives x-2=7. Then add 2 to both sides to give x=9. Another way is to work out the left hand side of...

This is a simple quadratic equation. To answer the question, it must first be factorised before it can be solved. To do this, two numbers need to be found which multiply to make the constant term and have...