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Step-by-step Solution

Integrate $\int x^{\left(x^2\right)}\frac{y}{x}dy$ with respect to x

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Step-by-step explanation

Problem to solve:

$\int x^{x^2}\left(\frac{y}{x}\right)dy$

Learn how to solve calculus problems step by step online.

$\int yx^{\left(x^2-1\right)}dy$

Unlock this full step-by-step solution!

Learn how to solve calculus problems step by step online. Calculate the integral of int(x^x^2*(y/x))dy. Simplifying. The integral of a constant by a function is equal to the constant multiplied by the integral of the function. Applying the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a constant function. As the integral that we are solving is an indefinite integral, when we finish we must add the constant of integration.

Answer

$\frac{1}{2}x^{\left(x^2-1\right)}y^2+C_0$

Problem Analysis

$\int x^{x^2}\left(\frac{y}{x}\right)dy$

Main topic:

Calculus

Related formulas:

2. See formulas

Time to solve it:

~ 0.4 seconds