5x(2y-3)-(y+8)=13 I believe this is correct
Length of train : 100
length of bridge : 400
distance covered by the train to cross the bridge : (100 + 400) = 500
time taken by the train to cross : 30
speed = distance / time
speed = 500/30
speed = 16.67 meters per second <===
Answer:
2000cm²
Step-by-step explanation:
find the other side using pythagorean theorem
50²=30²+x²
x=40
Area = 40 * 50 = 2000cm²
Computing an integral by substitution is the reverse of the chain rule for computing the derivative. Substitution is intended to rewrite a complicated-looking integral involving the derivative of some component expression as another much simpler integral. For example, if
, then
and

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Integration by parts is the reverse of the product rule for derivatives:

Integrating both sides with respect to
gives


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Personally, I think the best way to grasp the idea behind the two methods is to practice. You start to notice patterns to the point where knowing which is the "right" method to use becomes second nature.