IB Mathematics Applications & Interpretation Question Type 2: Applying Integration Through Using the Basis Integrals Alongside Their Composite Transformations in Linear Functions Exercises

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

Compute $\int \cos (4x+5)dx$

Compute $\int e^{3x+1}dx$

Compute $\int \left(4x-\frac{1}{2}+e^{3x}\right)dx$

Find $\int (e^{3x+2}-4x+7)dx$

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

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

Compute $\int \left(2e^{3x}+\sin (2x+1)-\frac{5x}{2}-3\right)dx$.

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

Compute $\int (3\sin (4x+5)+2e^{3x}-5)dx$

Find $\int \left(\sin (2x-3)-\frac{x}{4}+e^{-x}\right)dx$.

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

Find $\int (\sin (4x+5)+e^{3x}+x)\text{d}x$.