evaluate the following integral
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solve the indefinite integral trying to find the Primitive (or anti-derivative) of your integrand; this is a function that DERIVED will give you
sin
(x):∫sin(x)dx=−cos(x)
After that we use the Fundamental Theorem of Calculus where, basically, we take our Primitive, we stick in first our upper extreme
π/2
then the lower one
0
and subtract the values we obtain:
−cos(π/2)−(−cos0))=1
so we get:
∫π/20 sin(x)dx=1
Therefore, the answer is 1.
I am still in 9 th and tried my best. Hope it helps.
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