Question Type 4: Evaluating integrals with an inside function and its derivative Exercises

Compute $\displaystyle \int \cos(5x-3)\,dx$

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

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

Compute $\displaystyle \int \sec^2(4x)\,dx$

Find $\displaystyle \int \tan x\,dx$

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

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

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

Evaluate $\displaystyle \int e^{\sin x}\cos x\,dx$

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

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

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

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

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