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int2^(x)dx=

∫2xdx= \int 2^{x} d x=

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Evaluate definite integrals using the power ruleright chevron icon

Full solution

Q. ∫2xdx= \int 2^{x} d x=
  1. Identify integral: Identify the integral to solve.\newlineWe need to find the integral of 2x2^x with respect to xx.\newlineCalculation: ∫2x dx\int 2^x \, dx
  2. Use formula for exponential functions: Use the formula for integrating exponential functions.\newlineFor axa^x, the integral is (ax)/(ln⁡(a))+C(a^x)/(\ln(a)) + C, where CC is the constant of integration.\newlineCalculation: ∫2x dx=(2x)/(ln⁡(2))+C\int 2^x \, dx = (2^x)/(\ln(2)) + C

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