What is the integral of e^{y^{88}} ?

The integral of e^{y^{88}} is -(y\Gamma(1/88 ,-y^{88}))/(88\sqrt[88]{-y^{88)}}+C

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integral of e^{y^{88}}

\int e^{y^{88}} d y

- \frac{y Γ ( \frac{1}{88} , - y ^{88} )}{88 88 - y ^{88}} + C

Solution steps

\int e^{y^{88}} d y

Use the nonelementary integral:

\int e^{x^{a}} d x = - \frac{x Γ ( \frac{1}{a} , - x ^{a} )}{a a - x ^{a}}

= - \frac{y Γ ( \frac{1}{88} , - y ^{88} )}{88 88 - y ^{88}}

Add a constant to the solution

= - \frac{y Γ ( \frac{1}{88} , - y ^{88} )}{88 88 - y ^{88}} + C

f (x) = 4 x^{3} - 7 x^{2} - 15 x + 10

y = 7 x - 4 x, (1, 3)

(\frac{y}{x} + 5 x) d x + (ln (x) - 2) d y = 0

0.08 e^{x} x^{2}

\frac{d}{d x} (20 x)

What is the integral of e^{y^{88}} ?
The integral of e^{y^{88}} is -(y\Gamma(1/88 ,-y^{88}))/(88\sqrt[88]{-y^{88)}}+C