IB Mathematics Applications & Interpretation Question Type 3: Integrals with an Inside Function and Its Derivative Exercises

Evaluate the integral $$\int \frac{2x}{(1+3x^2{)}^3}dx$$

Evaluate the integral $$\int \frac{2x}{\sqrt{1+x^2}}dx$$

Evaluate the integral $$\int x^2{e}^{x^3}dx$$

Evaluate the integral $$\int \frac{6x^5}{(1+x^6{)}^2}dx$$

Evaluate the integral $$\int x\cos (x^2)dx$$

Evaluate the integral $$\int \frac{3x^2}{(x^3+1{)}^4}dx$$

Evaluate the integral $\int 4x(3+x^2{)}^5\text{d}x$.

Evaluate the integral $\int \sin (4x)dx$.

Evaluate the integral $$\int 5e^{5x}dx$$

Evaluate the integral $\int x^3\sqrt{x^4+1}dx$.

Evaluate the integral $$\int 6x{e}^{3x^2}dx$$

Evaluate the integral $$\int (4x-2)e^{2x^2-2x}dx$$