IB Mathematics Applications & Interpretation Question Type 4: Evaluating Integrals with an Inside Function and Its Derivative Exercises

Compute $\int \frac{4x^3}{1+x^4}dx$

Find $\int x{e}^{x^2}dx$

Compute $\int {\sec }^2(4x)dx$

Evaluate $\int e^{\sin x}\cos xdx$

Evaluate $\int \frac{3x^2}{x^3+1}dx$.

Find $\int \cos (5x-3)dx$.

Evaluate $\int \frac{\sin (\ln x)}{x}dx$.

Find $\int \frac{2x}{x^2-4}dx$

Evaluate $\int (2x+1)e^{x^2+x}dx$

Find $\int x^2{e}^{x^3+1}dx$

Compute $\int \frac{e^{2x}}{1+e^{2x}}dx$

Evaluate $\int \frac{3x^2-2}{x^3-2x}dx$

Evaluate $\int 2x\sin (x^2)dx$

Find $\int \tan xdx$