Find the exact value of $\int_{-4}^2e^xdx$∫2−4exdx.
Find the exact value of $\int_0^3e^{4x}dx$∫30e4xdx.
Find the exact value of $\int_0^2e^{\frac{3}{2}x}dx$∫20e32xdx.
Calculate $\int_{-2}^4e^{3x}dx$∫4−2e3xdx.
properties of anti-derivatives and definite integrals
evaluate approximations to the area under a curve using the trapezium rule, find and verify antiderivatives of specified functions and evaluate definite integrals