Question: Tutorial ExerciseEvaluate the integral.x2+10x2dxStep 1Recall the Inverse Substitution Rule, where f and g are differentiable functions and gis one-to-one.f(x)dx=f(g(t))g'(t)dtWe are given the following.x2+10x2dxWe see that

Tutorial ExerciseEvaluate the integral.x2+10x2dxStep 1Recall the Inverse Substitution Rule, where f and g are differentiable functions and gis one-to-one.f(x)dx=f(g(t))g'(t)dtWe are given the following.x2+10x2dxWe see that ifwe let x+5=5sec(), then dx=15tan()sec()210x=5tan()Applying this gives us the following result.x2+10x2dx=25tan()(tan()sec(),)d

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