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The integral of a function times a constant ($d$) is equal to the constant times the integral of the function
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$d\int\left(x^4+2x^3-x^2+x-7\right)xdx$
Learn how to solve integral calculus problems step by step online. Find the integral int((x^4+2x^3-x^2x+-7)xd)dx. The integral of a function times a constant (d) is equal to the constant times the integral of the function. Rewrite the integrand \left(x^4+2x^3-x^2+x-7\right)x in expanded form. Expand the integral \int\left(x^{5}+2x^{4}-x^{3}+x^2-7x\right)dx into 5 integrals using the sum rule for integrals, to then solve each integral separately. Solve the product d\left(\int x^{5}dx+\int2x^{4}dx+\int-x^{3}dx+\int x^2dx+\int-7xdx\right).