Evaluate the Integral integral of 11x^-6 with respect to x

Problem

(∫_^)(11*x(−6)*d(x))

Solution

1. Identify the constant and the power of x in the integrand.

2. Apply the constant multiple rule for integration by moving the constant 11 outside the integral.

11*(∫_^)(x(−6)*d(x))

3. Apply the power rule for integration, which states that (∫_^)(xn*d(x))=(x(n+1))/(n+1) for n≠−1

11(x(−6+1))/(−6+1)+C

4. Simplify the exponent and the denominator.

11(x(−5))/(−5)+C

5. Rewrite the expression as a single fraction.

−11/5*x(−5)+C

Final Answer

(∫_^)(11*x(−6)*d(x))=−11/(5*x5)+C

Want more problems? Check here!