Download App

INTEGRALS — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsINTEGRALS1 Mark
Question
Integrate the functions in Exercises:
$\sqrt{\text{ax+b}}$
✓

Answer

$\int\sqrt{\text{ax+b}}\text{ dx}=\int(\text{ax+b})^{\frac{1}{2}}\text{ dx} $

$=\frac{(\text{ax}+\text{b})^{\frac{1}{2}+1}}{\bigg(\frac{1}{2}+1\bigg)\text{a}\rightarrow\text{Coeff. of x}}+\text{c} =\frac{(\text{ax}+\text{b})^{\frac{3}{2}}}{\frac{3}{2}\text{a}}+\text{c} $

$=\frac{2}{3\text{a}}(\text{ax}+\text{b})^{\frac{3}{2}}+\text{c} $

 

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "1 Marks" from INTEGRALS→INTEGRALS — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

If $P ( A )=\frac{5}{11}, P ( B )=\frac{6}{11}$ and $P ( A \cap B )=\frac{4}{11}$ then find $P\left(\frac{A}{ B }\right)$.
→
If $\overrightarrow{\text{a}}$and$\overrightarrow{\text{b}}$ are perpendicular vectors,|$\overrightarrow{\text{a}}$+$\overrightarrow{\text{b}}$|= 13 and |$\overrightarrow{\text{a}}$| = 5 find the value of|$\overrightarrow{\text{b}}$|.
→
Given an example of:
A triangular matrix.
→
Family y = Ax + A4 of curves is represented by the differential equation of degree:
  1. 3
  2. 2
  3. 4
  4. 1
→
Determine the order and degree of the following differential equations. state also whether they are linear or non linear.
$\frac{\text{dy}}{\text{dx}}+\text{e}^\text{y}=0$
→
An electronic assembly consists of two subsystems, say, A and B. From previous testing procedures, the following probabilities are assumed to be known:
P(A fails) = 0.2
P(B fails alone) = 0.15
P(A and B fail) = 0.15
Evaluate the following probabilities P(A fails alone).
→
Classify the following as scalar and vector quantities.
Time period.
→
Find the area of the region bounded by the parabola $y=4 x^2$ and the lines $y=1$ and $y=4$.
→
Write the differrntial equation representing famliy of curve y = mx, where m is arbitrary constant.
→
Integrate the function $\frac{5 x}{(x+1)\left(x^{2}+9\right)}$
→