What is the integral of sinh(x)cosh^2(x) ?

The integral of sinh(x)cosh^2(x) is (cosh^3(x))/3+C

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integral of sinh(x)cosh^2(x)

\int sinh (x) cosh^{2} (x) d x

\frac{cosh ^{3} ( x )}{3} + C

Solution steps

\int sinh (x) cosh^{2} (x) d x

Apply u-substitution

: \int u^{2} d u

= \int u^{2} d u

Apply the Power Rule

: \frac{u ^{3}}{3}

= \frac{u ^{3}}{3}

Substitute back

u = cosh (x)

= \frac{cosh ^{3} ( x )}{3}

Add a constant to the solution

= \frac{cosh ^{3} ( x )}{3} + C

\frac{0.25}{s}

\frac{1}{x ^{2} + 0.0184}

\int \frac{10}{( x - 1 ) ( x ^{2} - 9 )} d x

x \to 0 - lim (8 - x^{2})

f (x) = 1 + cos (x), at x = \frac{π}{2}

What is the integral of sinh(x)cosh^2(x) ?
The integral of sinh(x)cosh^2(x) is (cosh^3(x))/3+C