Question Type 1: Applying integration through using the basis integrals Exercises

Find $\int\sin(4x+5)\,dx$.

Evaluate the indefinite integral

Compute $\int e^{3x}\,dx$.

Find $\displaystyle\int\cos(2x-3)\,dx$.

Compute $\int\sin(5x-2)\,dx$.

Evaluate $\displaystyle\int -\frac{1}{2x-1}\,dx$.

Evaluate $\displaystyle\int\bigl(e^{2x+1} - \tfrac{3}{x}\bigr)\,dx$.

Evaluate $\displaystyle\int\bigl(5e^{-2x} + 4\cos(3x)\bigr)\,dx$.

Compute $\displaystyle\int\bigl(-\tfrac{3}{x} + \sin(7x) + e^x\bigr)\,dx$.

Find $\displaystyle\int\bigl(2\cos(3x+\tfrac{\pi}{4}) + \tfrac{1}{x}\bigr)\,dx$.

Evaluate the integral

Evaluate $\displaystyle\int\bigl(e^{-\tfrac{x}{2}} - 4\sin(2x)\bigr)\,dx$.