Integrating Exponential Functions
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Problems 10
- Integrate ∫01(5x−5x) dx\int_0^1 (5x - 5^x) \, dx∫01(5x−5x)dx.
- Integrate. ∫018x dx\int_0^18^x\,dx∫018xdx
- Integrate ∫03e2x+1 dx\int_0^3e^{2x+1}\,dx∫03e2x+1dx
- Integrate. ∫122xex2 dx\int_1^22xe^{x^2}\,dx∫122xex2dx
- Integrate. ∫3exex+1 dx\int3e^x\sqrt{e^x+1}\,dx∫3exex+1dx
- Integrate. ∫1215xx−1 dx\int_1^215x\sqrt{x-1}\,dx∫1215xx−1dx
- Integrate. ∫02ex+2ex+2x dx\int_0^2\frac{e^x+2}{e^x+2x}\,dx∫02ex+2xex+2dx
- Integrate. ∫π2π3cos(2x)sin(2x) dx\int_{\frac{\pi}{2}}^{\pi}3^{\cos(2x)}\sin(2x)\,dx∫2ππ3cos(2x)sin(2x)dx
- Integrate. ∫012xe4x2 dx\int_0^{\frac12}xe^{4x^2}\,dx∫021xe4x2dx
- Integrate. ∫exy dy\int e^{xy}\,dy∫exydy