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$\int\left(1_5x^{\left(2m+1\right)}+3_7y^{\left(m-3\right)}\right)\left(1_5x^{\left(2m+1\right)}- 3_7y^{\left(m-3\right)}\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral of (1_5x^(2m+1)+3_7y^(m-3))(1_5x^(2m+1)-3_7y^(m-3)). Find the integral. Rewrite the integrand \left(1_5x^{\left(2m+1\right)}+3_7y^{\left(m-3\right)}\right)\left(1_5x^{\left(2m+1\right)}- 3_7y^{\left(m-3\right)}\right) in expanded form. Expand the integral \int\left(1_5^2x^{\left(4m+2\right)}- 3_7^2y^{\left(2m-6\right)}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int1_5^2x^{\left(4m+2\right)}dx results in: \frac{1_5^2x^{\left(3+4m\right)}}{3+4m}.