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Definite Integration Problems and Solutions

Integration by parts

Evaluate $\displaystyle \int_{0}^{\Large \frac{\pi}{4}}{x\sec^2{x}}\,dx$

Evaluate $\displaystyle \int_{0}^{1}{e^{\displaystyle x^2}.x^3}\,dx$

Evaluate $\displaystyle \int_{0}^{\Large \frac{\pi}{2}}{x\sin{x}}\,dx$

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