Definite and indefinite integrals represent areas under curves. Definite integrals are for a specific interval, while indefinite integrals are accumulation functions.
Definite integrals represent backwards differentiation while indefinite integrals represent limits of Riemann sums.
Definite integrals represent areas under curves while indefinite integrals represent families of antiderivatives.
Definite integrals represent families of antiderivatives while indefinite integrals represent specific antiderivatives.
First rewrite the integrand in general form and then apply the power rule to each term.
Raise the power to 4 and then divide by 4.
Distribute the exponent to the two terms and then apply the power rule to each term.
Substitute u=1–x and then apply the power rule to integrate u^3.
Sir Isaac Newton
Gottfried Wilhelm Leibniz