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Calculus problems

Open solved problems with answers and gated step-by-step solutions.

lim x->-7 (sqrt(2-x)-3)/(x+7)

lim{x->7} (x-7)/(x^2-8x+7)

Approximate area under y=sin(x) using rectangles

Approximate area under y=sin(x) using Riemann sums

Approximate area under y=5/x from x=1 to x=5 using rectangles

f(x) = (5 sin x) / (1 + cos x)

f(x) = (3 sin x) / (1 + cos x)

relative maximum justification using first derivative test

integral of 1/cos^2(x/4)