What is the integral of sin(pi/2) ?

The integral of sin(pi/2) is x+C

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integral of sin(pi/2)

\int sin (\frac{π}{2}) d x

x + C

Solution steps

\int sin (\frac{π}{2}) d x

Integral of a constant:

\int a d x = a x

= sin (\frac{π}{2}) x

Simplify

sin (\frac{π}{2}) x : x

= x

Add a constant to the solution

= x + C

\int cot^{5} (x) \cdot csc^{3} (x) d x

8 \frac{d ^{2} y}{d x ^{2}} + 3 \frac{d y}{d x} + 9 y = 0

n = 0 \sum \infty ln (1 + \frac{1}{n})

y^{^{''}} - 10 y^{^{'}} + 34 y = 0, y (0) = 2, y^{^{'}} (0) = 3

(- 3, - 1), (- 2, - 2)