IIT-JEE 1981Question 41
Evaluate $\displaystyle\int\left(e^{\log x}+\sin x\right)\cos x\,dx$.
Indefinite Integration
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IIT-JEE 1979Question 42
Evaluate $\displaystyle\int\frac{x^{2}\,dx}{(a+bx)^{2}}$.
Indefinite Integration
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IIT-JEE 1982Question 43
Find the value of $\displaystyle\int_{-1}^{3/2}|x\sin\pi x|\,dx$.
Definite Integration
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IIT-JEE 1983Question 44
Find the area bounded by the $x$-axis, part of the curve $y=\left(1+\dfrac{8}{x^{2}}\right)$ and the ordinates at $x=2$ and $x=4$. If the ordinate at $x=a$ divides the area into two equal parts, find $a$.
Application of Integrals
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IIT-JEE 1981Question 45
Find the area bounded by the curve $x^{2}=4y$ and the straight line $x=4y-2$.
Application of Integrals
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