IB Mathematics Analysis and Approaches Question Type 2: Integrals of Derivatives of Reciprocal Trigonometric Functions in Composite Forms Exercises

Evaluate $\int -\csc (\sin x)\cot (\sin x)\cos xdx$.

Find $\int 5\sec (4x)\tan (4x)dx$.

Find $\int -6\csc (3x)\cot (3x)dx$.

Calculate $\int [\sec (5x)\tan (5x)-\csc (5x)\cot (5x)]dx$.

Find $\int \sec (7x)\tan (7x)dx$.

Find $\int \sec (\sin x)\tan (\sin x)\cos xdx$.

Find $\int \sec (\ln x)\tan (\ln x)\frac{1}{x}dx$.

Find $\int e^x\sec (e^x)\tan (e^x)dx$.

Evaluate $\int \csc (5x)\cot (5x)dx$.

Evaluate $\int -\csc (3x^2)\cot (3x^2)6xdx$.

Compute $\int \sec (5x^3)\tan (5x^3)15x^{2}dx$.

Evaluate $\int -3\csc (6x)\cot (6x)dx$.

Find $\int 4\sec (2x)\tan (2x)dx$.

Evaluate $\int [\sec (2x)\tan (2x)+\csc (2x)\cot (2x)]dx$.

Find the indefinite integral: $\int \sec (3x)\tan (3x)dx$

Evaluate $\int [6\sec (2x)\tan (2x)-3\csc (2x)\cot (2x)]dx$.