IB Mathematics Applications & Interpretation Question Type 1: Applying Integration Through Using the Basis Integrals Exercises

Evaluate the integral $$\int \left(\sin (4x+5)-\frac{1}{2x-1}+e^{3x}\right)dx$$

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

Evaluate the indefinite integral $$\int \left(3\sin x+\cos x-\frac{2}{x}\right)\mathrm{d}x$$

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

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

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

Find $\int \left(2\cos \left(3x+\frac{\pi }{4}\right)+\frac{1}{x}\right)dx$.

Evaluate $\int \left(e^{2x+1}-\frac{3}{x}\right)\text{d}x$.

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

Evaluate $\int (e^{-\frac{x}{2}}-4\sin (2x))dx$.

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

Find $\int \left(-\frac{3}{x}+\sin (7x)+e^x\right)dx$.