Combine the integrals into one integral, then evaluate the integral. ∫(7x+4)dx+∫(7x+5)dx

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Combine the integrals into one integral, then evaluate the integral.  ∫(7x+4)dx+∫(7x+5)dx

Tuthornt · Accepted Answer

Step 1  To evaluate,  ∫(7x+4)dx+∫(7x+5)dx  Step 2  We know that,  ∫f(x)dx+∫g(x)dx=∫(f(x)+g(x))dx  Now,  ∫(7x+4)dx+∫(7x+5)dx  =∫((7x+4)+(7x+5))dx  =∫(7x+4+7x+5)dx  =∫(14x+9)dx  =14×x22+9x+c  =7x2+9x+c

Combine the integrals into one integral, then evaluate the integral. ∫(7x+4)dx+∫(7x+5)dx

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