Given that \displaystyle \int_0^4 x^3\sqrt{9+x^2} dx = a, what...

Evaluate \displaystyle \lim_{x \to 0} \frac{e^{44x} - 1}{x^2+2x}.

Given \displaystyle \int_0^{\frac{3\pi}{2}} x^2\cos x \, dx = a - \frac{b\pi^2}{c}, where a, b and c...

Evaluate \displaystyle \int_1^{10} \left(\sqrt{x} + 1\right)^3 dx - \int_1^{10} \left(\sqrt{x} - 1\r...

Evaluate \displaystyle \lim_{x \to 0} \frac{\sqrt{2}x}{\sqrt{2+x}-\sqrt{2}}.

a. The value of \displaystyle \int_{-2}^{-1} \frac{14}{ 4 x } dx is b. The value of \displaystyle...

f(t) = \int_0^t \frac{x^2+11 x+24}{ 1+\cos^2(x)} dx At what value of t does the local max of f(t...

Let \displaystyle \int_{5}^{9.5} f(x) dx =4, \ \int_{5}^{6.5} f(x) dx=5, \ \int_{8}^{9.5} f(x)dx =8

Let \displaystyle \psi : \mathbb {R} \times (0, \infty ) \displaystyle \to \mathbb {R}^2...

COMPUTE \displaystyle \sum _{k=1}^{\infty } \sum _{t=1}^{T} 0.5^ k=\quad

compute \displaystyle \sum _{k=1}^{K} \sum _{t=1}^{T} 0.5^ k=\quad

Question